In this context:
[tex]\boxed{m\angle U=40^{\circ}}[/tex]
Explanation:Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any diagram, so I'll assume ΔSTU and ΔDEF are similar. Two triangles are similar if and only if their corresponding angles are congruent and their corresponding sides are in proportion.
So:
[tex]\angle S=\angle D \ldots eq1 \\ \\ \angle T=\angle E \ldots eq2 \\ \\ \angle U=\angle F \ldots eq3[/tex]
We also know:
[tex]\angle S+\angle T+\angle U=180^{\circ} \ldots eq4 \\ \\ \angle D+\angle E+\angle F=180^{\circ} \ldots eq5[/tex]
Suppose we know:
[tex]\angle S=30^{\circ} \\ \\ \angle E=110^{\circ}[/tex]
Then, by eq2:
[tex]\angle T=\angle E =110^{\circ}[/tex]
By substituting ∠S and ∠T into eq4:
[tex]\angle S+\angle T+\angle U=180^{\circ} \\ \\ 30^{\circ}+110^{\circ}+\angle U=180^{\circ} \\ \\ \\ Isolating \ \angle U: \\ \\ \angle U=180^{\circ}-(30^{\circ}+110^{\circ}) \\ \\ \angle U=180^{\circ}-140^{\circ} \\ \\ \angle U=40^{\circ}[/tex]
Finally:
[tex]\boxed{m\angle U=40^{\circ}}[/tex]
4. Which two numbers have an absolute value of 2.67?
Answer:
2.67 & -2.67 both have an absolute value of 2.67
Step-by-step explanation:
The absolute value is the distance between a number and zero. the distance between 2.67 and zero is 2.67, and the distance between -2.67 and zero is also 2.67.
A storage shed in the shape of a cube has a height of 12 ft. There are 16 identical cube-shaped boxes in the shed. The edge of each box is 2.5 ft. How much space is left in the shed?
There are____ cubic feet left in the shed.
Answer:
576
Step-by-step explanation:
Answer:
1478ft³
Step-by-step explanation:
12x12x12=1728 ft³
16(2.5x2.5x2.5)= 250ft³
1728-250=1478ft³
There are 1478ft³ left in the shed
Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 71^\circ$, $\angle STU = 36^\circ$, and $\angle TUS = 73^\circ$, then what is $\angle NZM + \angle NPM$ in degrees?
Answer:
<NPM + <NZM = 146°
Step-by-step explanation:
Given:
In triangle STU: M, N and P are the midpoints of the line TU, US and ST respectively.
Line UZ is the altitude of the triangle STU
<TSU =71°, <TSU = 36°, <TUS = 73°
From the diagram:
N is the midpoint of line SU and M is the mid point of line UT.
∴ Line NM is parallel to line ST
P is the mid point of line ST and M is the mid point of line UT
∴Line PM is parallel to line SU
N is the mid point of line SU and P is the mid point of line ST
∴Line NP is parallel to line UT
Δ SPN = Δ STU = 36°
<SPN + <NPM + <MPT (Sum of angles in a triangle = 180°)
<UST = <MPT = 71°
36° + <NPM + 71° = 180°
<NPM + 107° = 180°
<NPM= 180°-107°
<NPM= 73°
In ΔSNZ, line SN = line NZ
∴ side SN = side NZ
< NSZ = <NZS = 71°
<MTZ = <MZT = 36°
<NZS + <NZM <MZT = 180° (Sum of angles in a triangle = 180°)
71° + <NZM + 36° = 180°
107° + <NZM = 180°
<NZM = 180° - 107°
<NZM = 73°
<NPM + <NZM =73° + 73°
<NPM + <NZM = 146°
2. Ms. Bever has one roll of toilet paper with 500 sheets. How many days will the roll of toilet
paper last if she uses 5 sheets of toilet paper every time she uses the washroom. One the
average day, Ms. Bever uses the washroom 6 times. How many days will she have toilet paper
for?
Answer: 30 days
Step-by-step explanation: 5 x 6 = 30 and she has 500 sheets it would take her about 30 days
Ms. Bever uses 30 sheets of toilet paper per day. A roll of 500 sheets would last her approximately 16.67 days, which means it will last for 16 full days.
Ms. Bever uses 30 sheets of toilet paper per day since she uses the washroom 6 times and uses 5 sheets each time (5 sheets * 6 uses = 30 sheets per day).
To find out how many days a roll will last, we will calculate the number of total sheets divided by the sheets used per day. So, with a roll of 500 sheets, the calculation is 500 sheets / 30 sheets per day = approximately 16.67 days.
Since Ms. Bever cannot use two-thirds of a sheet, the toilet paper will last for 16 full days, with some extra sheets left over which aren't sufficient for another full day of use.
If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work.
Answer:
$321
Step-by-step explanation:
Because if you use a calculator u put in 300 + 7% you get 321
Answer: $8.04
Step-by-step explanation: First you add on 7% to all of the amounts, then you get the new answer and subtract it by the old answer, finally you add up the subtracted amounts together. (Sorry if its wrong it tried my best)
What is the equation of a circle with center (8,1) and radius 6?
A. (x - 3)2 + (y - 1)2 = 6
B. (x - 3)2 + (y - 1)2 = 36
C. (X + 8)2 + (y + 1)2 = 36
D. (X + 8)2 + (y + 1)2 = 6
Answer:
(x - 8)² + (y - 1)² = 36
None of the above
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
(x - 8)² + (y - 1)² = 6²
(x - 8)² + (y - 1)² = 36
Due: Thursday at 11:00 PM
6
.
At the beginning of class, Mrs. Smith asked each of her 25 students to write his/her name on an index card and place
it in a closed container. Mrs. Smith draws a card in the morning and replaces it and repeats the process at the end of
the day. What is the probability that the same student will have his/her name drawn both times in the same day?
Answer: 1/25
Step-by-step explanation:
True or false order matter in ratio
Answer:
true
Step-by-step explanation:
Order matters because if you switch it around it means a totally diffrent thing for example 1:2= 1/2 and 2:1 = 2/1. you see it really does matter.
PLEASE HELP ASAP!!!!!!!
A.) If two lines are parallel, then the same-side interior angles formed are congruent.
B.) If two lines are parallel, then the corresponding angles formed are congruent.
C.) Vertical angles are congruent.
D.) If two lines are parallel, then the alternate interior angles formed are congruent.
Answer: D
Step-by-step explanation:
The reason that justifies Step 2 in the proof is Vertical angles are congruent.
Therefore, the correct answer is C. Vertical angles are congruent.
Vertical angles are angles that are opposite each other when two lines intersect.
They are always congruent, regardless of whether the lines are parallel or not.
In the given diagram, angles ∠NQT and ∠SQR are vertical angles. Therefore, they are congruent, and Step 2 of the proof is justified.
The other answer choices are not correct:
A: Same-side interior angles are only congruent when the lines are parallel.
B: Corresponding angles are only congruent when the lines are parallel.
D: Alternate interior angles are only congruent when the lines are parallel.
Therefore, the correct answer is C. Vertical angles are congruent.
For similar question on Vertical angles.
https://brainly.com/question/14362353
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Please answer ASAP! Can someone help? 25 points! Please show your work!
A diameter of a circle has endpoints P(-10, -2) and Q(4, 6).
a. Find the center of the circle.
b. Find the radius. If your answer is not an integer, express it in radical form.
c. Write an equation for the circle
If A represents the number of pencils in a pack, which expression represents 6 packs of pencils?
A +6
A-6
Ax6
A6
Answer:
Ax6
Step-by-step explanation:
For example, If you had 2 pencils in a pack and there were 6 packs of pencils. You would do 6 times 2 to find out how many pencils you have in total. In other words, you do A times 6.
What is the measure of Angle M R N? Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.
Answer: Angle MRN equals 11 degrees (11°)
Step-by-step explanation: Please see the picture attached for details.
The triangle MRN has been drawn such that angle N as shown equals 98 degrees. Then line NM has been extended and the exterior formed there is 109 degrees. That means angle M can be calculated as follows
Angle M = 180 - 109 {Angles on a straight line equals 180}
Angle M = 71
Now we have two angles given as angle N which is 98 degrees and angle M which is 71 degrees.
Angle MRN can now be calculated as follows;
∠ MRN = 180 - (71 + 98) {Sum of angles in a triangle equals 180}
∠ MRN = 180 - 169
∠ MRN = 11
Therefore angle MRN measures 11 degrees.
Answer:16
Step-by-step explanation:Take 98 and subtract it from 109
What is the area of the shaded region?
Given:
Radius of in circle (r) = 2 cm
Radius of out circle (R) = 4 cm
To find:
The area of the shaded region.
Solution:
The value of π = 3.14
Area of in circle = πr²
= 3.14 × 2²
Area of in circle = 12.56 cm²
Area of out circle = πR²
= 3.14 × 4²
Area of out circle = 50.24 cm²
Area of the shaded region = Area of out circle - Area of in circle
= 50.24 - 12.56
= 37.68 cm²
The area of the shaded region is 37.68 cm².
Help me asap ok thanks
Answer: total profit = $418
======================================================
Work Shown:
June
Income = (4 lawns)*($27 per lawn) = $108
Expenses = ($32 for gas)+($12 for trim line) = $44
Profit = income - expenses = 108-44 = $64
----------------------------
July
Income = (12 lawns)*($20 per lawn) = $240
Expenses = ($89 for gas)+($29 for blade sharpening) = $118
Profit = income - expenses = 240 - 89 = $151
----------------------------
August
Income = (16 lawns)*($20 per lawn) = $320
Expenses = ($101 for gas)+($16 for oil) = $117
Profit = income - expenses = 320-117 = $203
----------------------------
Total profit = (june profit)+(july profit)+(august profit)
Total profit = (64) + (151) + (203)
Total profit = $418
If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.
The mean percent of childhood asthma prevalence in 43 cities is 2.23%. A random sample of 31 of these cities is selected. What is the probability that the
mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o = 1.24%.
The probability is
(Round to four decimal places as needed.)
Given Information:
Mean percent of childhood asthma = μ = 2.23%
Sample size = n = 31
Standard deviation = σ = 1.24%
Required Information:
P(X > 2.6) = ?
Answer:
P(X > 2.6) = 0.0475 = 4.75%
Step-by-step explanation:
Let X is the random variable that represents percent of childhood asthma prevalence.
We want to find out the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
[tex]P(X > 2.6) = 1 - P(X < 2.6)\\\\P(X > 2.6) = 1 - P(Z < \frac{x - \mu}{\frac{\sigma}{\sqrt{n} } } )\\\\P(X > 2.6) = 1 - P(Z < \frac{2.6 - 2.23}{\frac{1.24}{\sqrt{31} } } )\\\\P(X > 2.6) = 1 - P(Z < \frac{2.6 - 2.23}{0.222} )\\\\P(X > 2.6) = 1 - P(Z < \frac{0.37}{0.222} )\\\\P(X > 2.6) = 1 - P(Z < 1.67)\\[/tex]
The z-score corresponding to 1.67 is 0.9525
P(X > 2.6) = 1 - 0.9525
P(X > 2.6) = 0.0475
P(X > 2.6) = 4.75%
Therefore, there is 4.75% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.6)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.67 then go for 0.07 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
Using the normal distribution and the central limit theorem, it is found that that there is a:
0.0485 = 4.85% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%. The interpretation is that when many samples of 31 are chosen, around 4.85% of them will have an asthma prevalence greater than 2.6%.
---------------------------------
When the distribution is normal, the z-score formula is used, with [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated with it.This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X. For a sample of n observations, by the Central Limit Theorem, the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]---------------------------------
Mean of 2.23% means that [tex]\mu = 2.23[/tex]Standard deviation of 1.24% means that [tex]\sigma = 1.24[/tex]Sample of 31 means that [tex]n = 31, s = \frac{1.24}{\sqrt{31}} = 0.2227[/tex]---------------------------------
The probability of a sample mean above 2.6% is 1 subtracted by the p-value of Z when X = 2.6. Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2.6 - 2.23}{0.2227}[/tex]
[tex]Z = 1.66[/tex]
[tex]Z = 1.66[/tex] has a p-value of 0.9515.
1 - 0.9515 = 0.0485.
0.0485 = 4.85% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%. The interpretation is that when many samples of 31 are chosen, around 4.85% of them will have an asthma prevalence greater than 2.6%.
A similar problem is given at https://brainly.com/question/22934264
A factory produces weighted balls to use for exercise by filling spherical rubber shells of different sizes with the sand like material. The materials density is 1.5 grams per centimeter. Assuming the shell weighs 10 grams, what should the balls radius so, when full, it weighs 1 kilogram(or 1000 grams)?
Answer:
r=5.4
As mentioned above, the actual \goldE{\text{total quantity}}total quantitystart color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, end color #a75a05 is 1000-10=\goldE{990}1000−10=9901000, minus, 10, equals, start color #a75a05, 990, end color #a75a05 grams, since we are trying to find the volume of the air within the shell.
Let's denote the ball's radius as rrr. Then, the \maroonD{\text{volume}}volumestart color #ca337c, start text, v, o, l, u, m, e, end text, end color #ca337c is \maroonD{\dfrac43\pi r^3}
3
4
πr
3
start color #ca337c, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c.
Now we can plug \blueE{\text{density}=1.5}density=1.5start color #0c7f99, start text, d, e, n, s, i, t, y, end text, equals, 1, point, 5, end color #0c7f99, \goldE{\text{total quantity}=990}total quantity=990start color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, equals, 990, end color #a75a05, and \maroonD{\text{volume}=\dfrac43\pi r^3}volume=
3
4
πr
3
start color #ca337c, start text, v, o, l, u, m, e, end text, equals, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c in the equation.
Five times two fifths
Answer:=2
Step-by-step explanation:
Te game started at 7:50pm. It ended at
10:04pm. How long was the game?
Answer:
134 minutes or 2 hours and 14 minutes
Step-by-step explanation:
Answer:
2 hours and 14 minutes
Step-by-step explanation:
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m.
With each swing, she travels along an arc that is half as long as the arc of the previous swing.
Which expression gives the total length the monkey swings in her first n swings?
24 divided by .5 or 1/2 (probably .5 tho)
Answer: 24 times 1-.5 divided by .5
Step-by-step explanation:
3. A numbers is subtracted from seven. When the result is divided by
three, the quotient is two. What is the number?
Answer:
so a number s (s) is subtracted from seven (7 take away s or 7-s) when the result (7-s) is divided by 3 [(7-s)/3] the quotient is 2 (=2)
(7-s)/3=2
multiply both sdis by 3
7-s itmes 3/3=2 times 3
7-s=6
subtract 7 from both sdies
-s=-1
multily -1
s=1
7-x=y
y/3=2
y=6
7-x=6
-x= -1
x=1
6 x to the 3 fourths power in radical form? (1 point) Question 3 options: 1) cubed root of 6 x to the fourth power 2) fourth root of 6 x cubed 3) 6 cubed root of x to the fourth power 4) 6 fourth root of x cubed
Answer:4) 6 fourth root of x cubed
Step-by-step explanation:
When determining which x-values would make an expression undefined, you do not need to include the factors you canceled out.
True or false?
I think it’s false, but I’m not confident in my answer
Answer:
This is truly false.
When determining which x-values would make an expression undefined, you do need to include the factors you canceled out.
Step-by-step explanation:
When working with functions, it is said to be undefined when the value of the function doesn't take on a value, and this occurs when the denominator is equal to 0.
Take for example
(x-2)/(x-2)
This simple function can be simplifted further by cancelling out the factors to get 1, but that doesn't change the fact that, at x=1, this function becomes undefined.
Because, the values of x can vary and can take on values that can make the denominator to be 0, factors that are cancelled need to be included in checking for where a function is undefined.
Hope this Helps!!!!
Kaden makes 2 cups of salsa for a party. The 6 guests share the salsa equally. Write a fraction that shows how much each guest eats.
Answer:
1/6
Step-by-step explanation:
if it's split equally between 6 people then each gets 1/6
Final answer:
Each guest at the party would get ⅓ cup of salsa.
Explanation:
Kaden makes 2 cups of salsa for a party and the 6 guests share the salsa equally. To determine how much each guest eats, we divide the total amount of salsa by the number of guests. We perform the following calculation:
Total amount of salsa: 2 cupsNumber of guests: 6We divide the total cups of salsa, which is 2, by the number of guests, which is 6:
2 cups ÷ 6 guests = ⅓ cup per guest
Therefore, the fraction that shows how much each guest eats is ⅓ cup.
A rock climber climbs at a rate of 720 feet per hour. Write and solve an equation to find the number of minutes m it takes for the rock climber to climb 288 feet.
Answer:
The equation is y=12x. It takes 24 minutes for the rock climber to get to 288 feet.
Step-by-step explanation:
Since we know there are 60 minutes in an hour, we can divide 720 by 60. This gives us 12. Therefore, for every minute, the rock climber gets 12 feet higher. Assuming y is the height in feet, and x is the time in minutes, we can create the equation y=12x. Now, to find how long it takes to get to 288 feet, we will substitute y with 288.
288=12x
288/12 = 12x/12
24 = x
Now, we have time in minutes that it takes to get to 288 feet.
Hope this helps!
The equation is y=12x.
It takes 24 minutes for the rock climber to get to 288 feet.
The calculation is as follows:
here we know that
One hour = 60 minutes
so, by dividing 720 from 60 we get 12
here we assume the time in minutes be x
So, the equation is
y = 12x
288=12x
288/12 = 12x/12
24 = x
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What is the surface area of the prism in square inches?
Sin.
3 in
14 in.
8 in
60 square inches
168 square inches
276 square inches
304 square inches
Answer:
The answer is B.276.
Step-by-step explanation:
Got it right on Edge 2020 :)
Have a great day!!!! :)
ANother math question -_-
Answer:
point c is the correct answer
Step-by-step explanation:
Which of the following are possible equations of a parabola that has no real solutions and opens downward?
y > = -(x + 4)^2- 2
y > = -(x + 4)^2 + 2
y > = -x^2 - 2
y > = (x - 4)^2 + 2
y > = -(x - 4)^2- 2
Answer:
[tex]y = - {(x - 4)}^{2} - 2[/tex]
[tex]y = - {(x + 4)}^{2} - 2[/tex]
[tex]y = - {x}^{2} - 2[/tex]
Step-by-step explanation:
A vertex form equation of a parabola is of the form
[tex]y = a(x - h)^{2} + k[/tex]
with vertex at (h,k).
If a parabola opens downwards, then a<0.
If the vertex of such parabola is below the x-axis, then it has no real solution, because it will not intersect the x-axis.
[tex]y = - {(x + 4)}^{2} - 2[/tex]
has vertex at (-4,-2), which is below x-axis.
[tex]y = - {(x - 4)}^{2} + 2[/tex]
has vertex at (-4,2)--->above x-axis
[tex]y = - {(x - 4)}^{2} - 2[/tex]
vertex at (4,-2) ---> below x-axis
[tex]y = - {x }^{2} - 2[/tex]
(0,-2)----> below x-axis
Gabriel makes a model of a pyramid with the dimensions shown. A square pyramid. The square base has side lengths of 12 inches. The triangular sides have a height of 11 inches. Gabriel wants to paint the model. How much paint will he need? The area of the square base is in.2. The area of each triangular face is in.2. Gabriel will need in.2 of paint.
Answer:
The area of the square base is 114 in. 2
The area of each triangular face is 66 in. 2
Gabriel will need 408 in. 2 of paint
Determine the solution by using substitution. Write your answer as a point below (x,y).
Answer:
x is 1 and y is negative 2. (1, -2).
Step-by-step explanation:
Hope this helps!
ANSWER
X=1 and y=-1
Hopefully this is the correct answer
Which scatterplot would have a trend line with a negative slope
Answer: B
Step-by-step explanation:
Answer: B
What is an example of a negative slope?
For example, as more people quit smoking (x), fewer people develop lung cancer (y). The graph for this relationship has a negative slope. If the gradient is negative, then the gradient and the gradient must be opposite, one must be positive and the other must be negative.
In other words, you go up and down or left and right. The positive area of a function is the interval at which the function is on the x-axis. Where the y value is positive (not zero). The negative area of a function is the interval at which the function is below the x-axis.
Learn more about negative slope here: https://brainly.com/question/3537825
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