3. Triangle ABC has angle measures as shown.
a) What is the value of x? Show your work.
Answers
(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4
a) The value of x is 30.
[tex](x - 5) + (3x + 30) + 35 = 180[/tex]
[tex]x - 5 + 3x + 30 + 35 = 180[/tex]
Sum up x + 3x
[tex]4x - 5 + 30 + 35 = 180[/tex]
Sum up all the numbers
[tex]4x + 60 = 180[/tex]
Substract 60 from both sides
[tex]4x = 120[/tex]
And finally divide by 4 (on both sides)
[tex]x = 30[/tex]
Related Questions
Find the volume of this
Answers
Answer is C
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.
y=12(2)^t
Plz help!
Answers
The growth factor is 2.
The increase is (2 -1)*100% = 100% per period.
Nial is signing a lease for an apartment that rents for $1020/month. How much will he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent?
2040
$2448
$2652
$2856
Answers
%60 of 1020 is:612
2040+612=2652
so third one is true
Answer:
Option (c) is correct.
He pays $ 2652.
Step-by-step explanation:
Given : Nial is signing a lease for an apartment that rents for $1020/month.
We have to find the amount he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.
Since, given he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.
Given monthly rent is $ 1020
That is 60% of his monthly rent = [tex]\frac{60}{100}\times 1020=612[/tex]
Thus, total amount he needs to pay is first month rent + last month rent + 60% of his monthly rent.
That is 1020 + 1020 + 612 = 2652.
Thus, He pays $ 2652.
The surface area of a cube is 150 cm2. what is the area of each face of the cube?
Answers
Answer:
6 25 5 these r the answers
Step-by-step explanation:
edge2021
In a hockey club there are 5% more boys than there are girls. If there is a total of
246 members in the club, what is the number of boys and the number of girls?
HOW WOULD I WORK THIS OUT
Answers
For an instance, pb stands for percentage of boys, and pg stands for percentage of girls.
pb + pg = 100%
There are 5% more boys, pb = pg + 5%
Input to the previous equation to find the percentage of the girls
pb + pg = 100%
pg + 5% + pg = 100%
2pg + 5% = 100%
2pg = 100% - 5%
2pg = 95%
--------------- divide each side by 2
pg = 47.5%
Substitute the percentage of girls to either equations to find the percentage of the boys
pb = pg + 5%
pb = 47.5% + 5%
pb = 52.5%
Find the number of the boys and the girls
The boys
b = pb × total members
b = 52.5% × 246
b = 0.525 × 246
b = 129.15
Because the number of people couldn't be a fraction, round to the nearest whole number
b = 129
The girls
g = total - b
g = 246 - 129
g = 117
There are 129 of boys, and 117 of girls
The number of boys and the number of girls are 126 and 120 respectively.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, there are 5% more boys than there are girls, there is a total of
246 members in the club,
We need to find the number of boys and the number of girls,
Here we will use the concept of percentage as well as equation solving,
Let the number of girls be x, so, the number of boys = 105% of x = 1.05x
According to the question,
x+1.05x = 246
2.05 x = 246
x = 120
1.05x = 126
Hence, the number of boys and the number of girls are 126 and 120 respectively.
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Describe how you would estimate the square root of a number that is not a perfect square without using a calculator. lets say n was the imperfect square number and the square root is w. the square root of n = n+w squared/ 2w.
Answers
√X =√S +(X-S)2√S
Where, X = the number you want the square roof of, and S is the closest square you know to x.
For example 75 is an imperfect square
Thus, X=75 and thus the nearest number S = 81, this ,means √81 =9.
Putting this into the formula;
√75= 9+(75-81)/2/2(9)
= 9 + -6/18
= 9-0.33333 = 8.667
= 8.667, thus the square root of 75 is 8.66
The corners of a fence are at a (11,3), b (3,-11), c (-13,-9), and d (-5,9). let q be the midpoint of ????????⎯⎯⎯⎯⎯, r be the midpoint of ????????⎯⎯⎯⎯⎯, s be the midpoint of ????????⎯⎯⎯⎯⎯, and t be the midpoint of ????????⎯⎯⎯⎯⎯. what are the midpoints of the sides of this fence?
Answers
The midpoint between two points (a, b) and (c, d) can be found by averaging their coordinates:
.. midpoint = ((a+c)/2, (b+d)/2)
An antique car was purchased for $7400 and is not worth $10,600. What is the approximate percent of change
Answers
% CHANGE FORMULA:
(New # - Original #) ÷ Original # x 100
%= ($10600 - $7400)/7400 x 100
%= $3200/$7400 x 100
%= 0.432 x 100
%= 43.2% increase
ANSWER: 43% increased change
Hope this helps! :)
The approximate percentage of change will be 43.24%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
An antique car was purchased for $7400 and is not worth $10,600.
Then the approximate percent of change will be given as,
P = [(10600 - 7400) / 7400] x 100
P = (3200 / 7400) x 100
P = 0.4324 x 100
P = 43.24%
The approximate percentage of change will be 43.24%.
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Given: ABCD is a rectangle, AC ∩ BD = O, m∠ABD=30°, AC=16 in. Find BC.
I need the answer to this question ASAP!
Thanks!
Answers
BC/AC = sin(∠BAC)
BC = AC*sin(∠BAC)
.. = (16 in)*sin(30°)
.. = 8 in
i need to know the equations
Answers
2l +3t +3b = 156 . . . . . . . 156 meals per day are supplied
l +t = 3b . . . . . . . . . . . . . . there are 3 times as many great cats as bears
l +t +b = 68 . . . . . . . . . . . there are a total of 68 animals
_____
The last 2 equations tell you
.. 4b = 68
.. b = 17
Subtracting 3 times the last equation from the first gives
.. -l = -48
There are 48 lions, 3 tigers, and 17 bears.
Let T = number of tigers
Let B = number of bears
If one lion eats 2 meals per day, then L number of lions eat 2L meals per day.
Tigers eat 3T meals per day, and bears eat 3B meals per day.
In one day, all animals combined ate 156 meals.
That gives us our first equation.
2L + 3T + 3B = 156
The lions and tigers are considered great cats. The bears are not cats.
There are 3 times as many great cats as bears.
This gives us our second equation.
L + T = 3B
In all there are 68 animals in the zoo.
From here we get our third equation.
L + T + B = 68
Our system of equations is:
2L + 3T + 3B = 156
L + T = 3B
L + T + B = 68
Now we solve the system of equations.
Subtract the second equation from the third equation.
B = -3B + 68
4B = 68
B = 17
Substitute B = 17 into the first and second equations.
2L + 3T + 3B = 156
2L + 3T + 3(17) = 156
2L + 3T + 51 = 156
2L + 3T = 105 New Equation A
L + T = 3B
L + T = 3(17)
L + T = 51 Equation B
Equations A and B have only two variables, so we can solve them as a system of two equations in two unknowns.
2L + 3T = 105
L + T = 51
Rewrite equation A. Multiply Equation B by -2 and write underneath Equation A. Then add the equations.
2L + 3T = 105
+ -2L - 2T = -102
-------------------------
T = 3
Now use B = 17 and T = 3 in the original third equation to solve for L.
L + T + B = 68
L + 3 + 17 = 68
L + 20 = 68
L = 48
Answer: There are 48 lions, 3 tigers, and 17 bears
Check:
"Lions eat 2 meals per day, tigers and bears eat 3 meals each per day."
Number of meals:
2 * 48 + 3 * 3 + 3 * 17 = 96 + 9 + 51 = 156
"There are 3 times as many great cats in the zoo as bears."
48 + 3 = 51, and 51 is 3 times 17
"There are 68 animals in the zoo."
48 + 3 + 17 = 68
All statements are satisfied by our solution, so the answer above is correct.
Write a quadratic function f whose zeros are 3 and 8
Answers
1. So, if 3 and 8 are zeros of the quadratic function, then they are factors of it. Therefore, you have:
(x+3)(x+8)=0
2. When you write it in the standard form, you have:
x²+11x+24=0
a=1
b=11
c=24
Find the area of the following circle. (Round answer to the nearest hundredth.)
d = 15 in
area = _____ square inches
circumference = ______ inches
Answers
The area of circle is,
⇒ 176.62 in²
And, ⇒ Circumference = 47.1 in.
What is mean by Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The diameter of circle is,
d = 15 in.
Hence, Radius of circle is.
r = 15 / 2
r = 7.5 in,
Thus, Area of circle is,
⇒ πr²
⇒ 3.14 × 7.5²
⇒ 176.62 in²
And, Circumference = 2πr
⇒ Circumference = 2 × 3.14 × 7.5
⇒ Circumference = 47.1 in.
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My jar has 25 dimes and some quarters, nickels, and pennies. The number of quarters plus dimes equals the number of pennies. I have 4 nickels for every dime and 2 pennies for every nickel. How many quarters are there? A. 175 B. 150 C. 125 D. 75
Answers
q = quarters
p = pennies
n = nickels
1. q + n = p
2. 4n = 1 d
3. 2p = 1n
1 d = 4n
25 d = x
x = 4 * 25 = 100 nickels
1 n = 2 p
100 n = x p
100 n = 200 p
q + n = p
There are 100 nickels. there are 200 pennies
q + 100 = 200
q = 200 - 100
q = 100
Answer
There are 100 quarters,<<<<======
Answer:
Quarters = 175
Step-by-step explanation:
Let the number of dimes in the jar = 25
number of Nickels = n
number of quarters = q
number of pennies = p
Now we will form the equation
Number of quarters plus dimes equal the number of pennies.
q + 25 = p --------(1)
You have 4 nickles for every dime
n = 4d
n = 4 × 25 = 100
and you have 2 pennies for every nickels
p = 2n
p = 2 × 100 = 200
Now we replace p = 200 in equation (1)
q + 25 = 200
q = 200 - 25
q = 175
Option A. 175 will be the answer.
What is the equation of the line that is perpendicular to the line and passes through the point (6, 2)?
Answers
So, when you find something perpendicular, you are finding the opposite reciprocal.
The slope is 1/2 because:
y=mx+b <== it is in this form; m is equal to slope.
Flip the 2 and 1 and make it negative.
2/1= -2
We already know "C" and "D" aren't the options. Now, we can just plug in the points given to see if it works. Plug in the set of points (6,2)
y=-2x+14
2=-2(6)+14
2=-12+14
2=2 <== this works. This is our answer. Let's just make sure by checking the other one.
y=-2x-2
2=-2(6)-2
2=-12-2
2=-14 <== that is not true.
The first option is correct.
I hope this helps!
~kaikers
Step [tex]1[/tex]
Find the slope of the line perpendicular to the given line
we have
the equation of the given line is
[tex]y=\frac{1}{2}x+7[/tex]
we know that
if two lines are perpendicular
then
the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
in this problem the slope m1 of the given line is
[tex]m1=\frac{1}{2}[/tex]
so
[tex]m2=-\frac{1}{m1}[/tex]
[tex]m2=-2[/tex]
Step [tex]2[/tex]
Find the equation of the line with slope m2 and passes through the point [tex](6, 2)[/tex]
we know that
the equation of the line is
[tex]y-y1=m*(x-x1)\\ y-2=-2*(x-6)\\y=-2x+12+2\\ y=-2x+14[/tex]
therefore
the answer is the option A
the equation of the line is [tex]y=-2x+14[/tex]
see the attached figure to better understand the problem
Jennifer wants to rent a car for 5 days, and she’s interested in a the loss damage waiver but not the collision damage wavier.If the daily rate is $39 and LDW is $65 for the rental period,what is her total cost?
Answers
n= number of days
Total cost equals the cost per day times the number of days plus the fee.
T= $39n + $65
substitute 5 for n
T= 39(5) + 65
T= 195 + 65
T= $260 total cost
Hope this helps! :)
APEX $260 is correct answer.
In the diagram, △ABC ≅ △WRS. What is the perimeter of △WRS?
10 units
11 units
12 units
13 units
Answers
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
△ABC ≅ △WRS
So, Perimeter of △ABC is given by
AB+BC+CA
here, AB = 3 units
BC = 4 units
AC = x
By pythagorus theorem, we get that
[tex]AC^2=AB^2+BC^2\\\\x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\\\\x=\sqrt{25}\\\\x=5\ units[/tex]
So, perimeter of △ABC is
3+4+5=12 units
So, the perimeter of △WRS is also 12 units as they are similar triangles .
Hence, Third option is correct.
Answer:
The Answer Is 12
Step-by-step explanation:
solve the following question: |x|=3/4
Answers
____________________________________________________
Or, write as: " x = ± [tex] \frac{3}{4} [/tex] " .
____________________________________________________
Process:Remove the absolute value term. This create a _ On the right side of the equation because |x| = _x.
x = _ ¾
Set up the positive portion of the _ solution.
x = ¾
Set up the negative portion of the _ solution.
x = -¾
The solution to the equation includes both the positive and negative portions of the solution.
x = ¾, -¾
I hope this helps!
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Please mark as Brainliest!
Have a wonderful day! : )
Between which 2 consecutive numbers is radical 46
Answers
Then net folds into s cube. Which two letters appear on the opposite faces?
Answers
which figure could be the intersection of two planes? A. ray B. line C. point D. segment
Answers
The answer to this question is (B)
Answer: The answer is B line
Step-by-step explanation:
For the quadrilateral shown below, what is m∠a + m∠c ? A.)53 B.)137 C.)180 D.)233
Answers
The value of the given expression m∠a + m∠c is 233 degrees and this can be determined by using the given data.
Given :
Quadrilateral ABCD.Angle B is 95 degrees.Angle D is 32 degrees.The following steps can be used in order to determine the value of the given expression:
Step 1 - The sum of interior angles of the quadrilateral is 360 degrees.
Step 2 - According to the given data, angle B is 95 degrees and angle D is 32 degrees.
Step 3 - So, the value of the given expression can be calculated as:
[tex]\angle A+\angle B+\angle C+\angle D = 360[/tex]
[tex]\angle A+95+\angle C+32 = 360[/tex]
Step 4 - Simplify the above expression.
[tex]\angle A+\angle C = 360-95-32[/tex]
[tex]\angle A+\angle C = 233[/tex]
Therefore, the correct option is D).
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Jarrod walked 3 miles due north before turning left and walking 3.5 miles due west. He turned again and returned to his starting point by walking a straight path. What was the angle of the last turn? Round to the nearest degree.
Answers
the angle of the last turn was angle alfa in the point C
tan(alfa)=3/3.5=0.8571
alfa=arctan(0.8581)=40.60°
Round to the nearest degree---------> alfa=41°
the answer is 41°
Determine whether each pair of angles is a pair of vertical angles, a linear pair of angles, or neither. Select the correct answer for each lettered part.
Answers
B) ∠AFB and ∠CFD are neither. Vertical angles are also known as vertically opposite angles. While these two only share a vertex, they are not opposite each other. They also do not form a linear pair, as they do not form a straight line.
C) ∠BFD and ∠AFE are vertical angles. They are opposite each other and share only a vertex.
Answer:
Linear Pair, Neither, Vertical.
Its also in the attached PNG just in case the question you have decides to put them out of order. You are all welcome! I hope this helps you people in the future
Kelly is hanging shelves in her closet. She can buy shelves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measures 24 inches. The rest of her materials cost $90. How much change will she get it she pays with $100?
Answers
There are 12 inches in a foot.
Kelly buys two shelves that measure 7 feet altogether, and the cost of each foot is $1.25.
Multiply the number of feet by the cost per foot.
7 × 1.25 = 8.75
Add this to the cost of the rest of her items.
90 + 8.75 = 98.75
Finally, subtract this from the $100 Kelly will use to pay.
100 - 98.75 = 1.25
ANSWER: Kelly will receive $1.25 change after her payment.
What type of association does the scatter plot show?
Answers
Answer:
wheres the scatter plot
Step-by-step explanation:
A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.
What is the volume of the statue?
___ft³
Answers
(a^2)h/3
Next, plug in the variables you know.
(723^2)341/3
(522,729)(113.67)
= 59,416,863 is your answer.
Hope this helps!
Answer:
The volume is[tex]=59,416,863ft^3[/tex]
Step-by-step explanation:
Given A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.
Base edge=a=723 feet.
Height=h=341 feet
As, [tex]\text{Volume of square pyramid is=}(a^2)\frac{h}{3}[/tex]
Substitute the values of a and h, we get
[tex]V=(723^2)\frac{341}{3}[/tex]
[tex]=(522,729)(113.67)[/tex]
[tex]=59,416,863ft^3[/tex]
Please help me Idk what I’m doing thanks
Answers
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0. h(t) = · sin( t + ) +
Answers
Answer:
the correct answer is
h(t)= 25 * sin (1 pi t + (-0.5) pi) + 29
Step-by-step explanation:
help with geometry please! will mark brainliest
Answers
LN/LM=NO/OM
LN=10
LM=18
NO=4
OM=x (The value you want to find)
2. When you substitute this values in LN/LM=NO/OM, you have:
10/18=4/x
10x=(18)(4)
x=(18)(4)/10
x=72/10
3. Finally, you obtain:
x=7.2
The answer is: The value of "x" is 7.2
Find the common ratio geometric sequence please
Answers
[tex]\bf \cfrac{27}{243}=\cfrac{3}{27}=\cfrac{\frac{1}{3}}{3}=\cfrac{\frac{1}{27}}{\frac{1}{3}}\implies \cfrac{1}{9}\impliedby \textit{common ratio}[/tex]
notice, all we did was, divide the value, by the number to its left-hand-side.