Answers
Step-by-step explanation:
In a square,
we know that when diagonals bisect each other it is divided into two equal parts
so
TR = TP
So
PR = x +11 + x + 11
= 2x + 22
And
Both diagonals are equal so
QS = PR
7x - 3 = 2x + 22
7x - 2x = 22 + 3
5x = 25
x= 25 /5
x = 5
Now
PR = 2 * 5 +22= 10 +22 = 32
Answer:
PR = 34
Step-by-step explanation:
The diagonals of a square bisect each other, and are congruent, thus
QS = PR, that is
7x - 8 = x + 11 + x + 11 = 2x + 22 ( subtract 2x from both sides )
5x - 8 = 22 ( add 8 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Thus
PR = 2x + 22 = 2(6) + 22 = 12 + 22 = 34
Related Questions
NEED HELP ASAP! I WILL MARK YOU AS BRAINLIEST!
Answers
Answer:
3/8 is the probability
Step-by-step explanation:
What is the endpoint formula given midpoint?
Answers
Answer:
B = 2M -A
Step-by-step explanation:
For given endpoint A and midpoint M, the other endpoint B can be found using the definition of the midpoint:
M = (A+B)/2
2M = A+B . . . . . multiply by 2
2M-A = B . . . . . subtract A
The second endpoint can be found by subtracting the given endpoint from twice the midpoint:
B = 2M -A
Which equation has no solution?
O
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
O
Answers
Answer:
5 + 2(3 + 2x) = x + 3(x + 1)
Help me please thank u
Answers
Cindy asked to borrow Melinda's math book. Which sentence shows a correctly written response to Cindy's question?
Answers
Answer:
C
Step-by-step explanation:
A set of math tests is normally distributed
with a mean of 81 and a standard deviation
of 5. If Adam's z-score was -0.6 and Leah's
z-score was 2.2, how many points higher did
Leah score than Adam?
Answers
2.2-0.6=1.6
1.6*81=129.6
129.6/2=64.8
Answer: 64.8
The Leah score than Adam is, 64.8.
Definition of normal distribution:
A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.
Step by step:Adam had a z-score of -0.6 while Leah had a z-score of 2.2.
According, to the question:
[tex]2.2-0.6=1.6\\[/tex]
[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]
[tex]\frac{129.6}{2} \\64.8[/tex]
Hence, The Leah score than Adam score are 64.8.
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Steven ran for class president against Mandy. Steven Recieved 5 votes for every 3 votes that Mandy Recieved. Mandy Recieved 420 votes if all students voted only once how many students voted in the election
Answers
Answer:
700
Step-by-step explanation:
420×5=2100
2100÷3=700
Answer: 700
A line that is parallel to y - x = 8 would have a slope of:
Answers
Answer:
1
Step-by-step explanation:
Rearrange y-x=8 to y=x+8
parallel lines have the same slope
so lines slope is 1
An airplane pilot jumps out of an airplane and has an initial velocity of 32 feet per second downwards. How long does it take to fall from 1000 feet to 760 feet before the parachute opens?
Answers
Answer:
3 seconds
Step-by-step explanation:
Downwards positive
a = 32
s = 1000 - 760 = 240
s = ut + ½at²
240 = 32t + 16t²
t² + 2t - 15 = 0
t² + 5t - 3t - 15 = 0
t(t + 5) - 3(t + 5) = 0
(t - 3)(t + 5) = 0
t = 3, -5
By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.
Explanation:The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],
where:
d is the distance fallen
v is the initial velocity
a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])
t is the time
In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).
Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.
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Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She has 6 pigs, 7 chickens, and 10 cows. What is P (chicken)
Answers
Answer:
P(chicken) ≈ 0.3
Step-by-step explanation:
Giovanna will select one animal from 6 pigs or 7 chickens or 10 cows to present at the state fair. From the question, there are a total of 6 + 7 + 10 = 23 animals to choose from.
If she selects a chicken, then P(chicken) = 7/23 = 0.304
P(chicken) ≈ 0.3
Answer:
7/23 OR 0.304...826
Step-by-step explanation:
Please refer to the attached image for explanations
Given that the measure of ∠x is 30°, and the measure of ∠y is 60°, find the measure of ∠z.
Answers
Answer:
90°
Step-by-step explanation:
Since vertical angles are equal, ∠x is equal to its vertical angle. Since the total angles in a triangle are 180, and x + y = 90, then the angle supplementary to z = 180 - 90 = 90. To find z, it's just 180 - 90 = 90.
A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, [Blank 1 ]
causes a change in
the dependent variable [Blank2].
Opionts for BLANK1
A) The number of secounds.
B) The number of feet the sub descends.
C)The rate the sub descends.
D)The color of the sub.
Options for BLANK2
A)The number of secounds
B) The number of feet the sub descends.
C)The rate the sub descends
D)The color of the sub.
(Help!)
Answers
The independent variable is; A: The number of secounds.
The dependent variable is; B) The number of feet the sub descends.
What is the independent and dependent variable?
A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.
We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.
Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.
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Answer:
Step-by-step explanation:
A rectangle sandbox has an area of 64 square yards. What might be the perimeter of the sandbox?
Answers
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?
Answers
Answer:
$107.38
Step-by-step explanation:
$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})
$91 (th original price) + 15.38 (the tip) = $108.38 (final price)
For breakfast Jamie can choose from cereal, eggs, or a muffin. She also can drink coffee, orange juice, or milk. How many total outcomes are possible?
Answers
Jamie has 9 possible combinations for breakfast based on her choices of 3 different foods and 3 different drinks.
Explanation:The subject of the question is in the field of probability in mathematics. The question is asking for the total number of outcomes or combinations possible given Jamie's breakfast choices. Jamie can choose from 3 foods (cereal, eggs, muffin) and 3 drinks (coffee, orange juice, milk).
To find the total number of outcomes, you multiply the total number of options in each category. In this case, it would be 3 (food choices) multiplied by 3 (drink choices), which sets the total possible outcomes to be 9.
Therefore, Jamie has 9 possible combinations for her breakfast choice.
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Can you guys please help me
Answers
Answer:
9^2 +12^2 = m^2
81+144=m^2
225=m^2
m=15
The Pythagorean Theorem is a^2 + b^2 = c^2
In this case, your a is 9, your b is 12, and your c is m
Following the boxes:
9^2 + 12^2 = m^2
81 + 144 = m^2
225 = m^2
m = 15
A youth director for a city's parks and recreations department is planning for next year's program. From a survey of city residents, the director knows that 35% of the population participate in the parks and recreations programs. For a random sample of 40 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Answers
Given Information:
Sample size = n = 40
sample proportion = p = 35% = 0.35
Required Information:
standard deviation of sample proportion = σ
Answer:
standard deviation of sample proportion = σ = 0.075
Step-by-step explanation:
Check if the condition np ≥ 10 or n(1 - p) ≥ 10 is satisfied
np ≥ 10
40*0.35 ≥ 10
14 ≥ 10 satisfied
n(1 - p) ≥ 10
40(1 - 0.35) ≥ 10
26 ≥ 10 satisfied
Which means that distribution of sample proportion will have a mean closer to the population proportion.
The standard deviation for sample proportion is given by
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]
[tex]\sigma = 0.075[/tex]
Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.
Find the difference.
(4m^2 - m+2) - (-3m^2+ 10m + 4) =(
Answers
7m^2 - 11m - 2
Step-by-step explanation:Distribute the negative.
4m^2 - m + 2 + 3m^2 - 10m - 4 = ?
Now, add the like terms.
4m^2 + 3m^2 = 7m^2
-m + (-10m) = -11m
2 + (-4) = -2
7m^2 - 11m - 2
Please help me Factor x2 − 4x + 5
Answers
Step-by-step explanation:
Look it's so simple once you learn it's very easy you have to multiply the 1 and 3rd digit so answer is 5 now you have to find the factors of 5 so
x2 - 4x + 5
x2 - 5x + x + 5
x (x - 5) +1 (x + 5)
(x - 5) (x + 1) are the factors but please recheck the question maybe there is a mistake in sign because my factors x + 5 and x - 5 this should be one sign either positive or negative
5) Jane likes to exercise daily. The table on the Google Doc shows the number of
calories y she burns by exercising steadily for x minutes. How many calories
would she burn by exercising for 29 minutes? *
Answers
Answer:
29xy
Step-by-step explanation:
Answer:
319
Step-by-step explanation:
just because work I don't wanna type
What is the volume of the regular pyramid?
A. 291 cm^3
B. 336 cm^3
C. 168 cm^3
D. 392 cm^3
Answers
Answer:
Option (B) 336 cm³
Step-by-step explanation:
Height of the Regular Pyramid = 14 cm
Base area of the Regular Pyramid = 1/2 * Side²
Area of the Regular Pyramid = 1/3 * Base area * Height
= 1/3 * 14 * (1/2 * Side²)
= 1/3 * 14 * (1/2 * 12²)
= 1/3 * 14 * (1/2 * 144)
= 1/3 * 14 * 72
= 24 * 14
= 336 cm³
So, Option (B) 336 cm³ is the correct Option.
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Saige's spaceship traveled 588588588 kilometers (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis in 606060 seconds (\text{s})(s)left parenthesis, start text, s, end text, right parenthesis.
Answers
Answer:
A is proportional
B and C are NOT proportional
Step-by-step explanation:
First, simplify 588 and 60:
588 divided by 6
60 divided by 6
= 98
10
Simplify them again by dividing them both by 2
= 49
5
Let's look at A:
441 and 45
Simplify by dividing by 9
= 49
5
It's pretty obvious that A is proportional because the simplified values are exactly the same.
Next, let's check B:
215 and 25
Simplify by dividing by 5
= 43
5
Now that its simplified you can compare
43 is smaller than 49
5 5
B is not proportional
Finally, let's check C:
649 and 110
Simplify by dividing by 11
= 51
10
Make 51 and 49 have the same denominator so we can compare them
10 5
51 can stay the same because 5 times 2 equals 10
10
49 times 2
5 times 2
= 98
10
Now that the denominators are the same we can compare
51 is much smaller than 98
10 10
Therefore, C is also not proportional.
Hope that helps :D
The velocity of Saige's spaceship is 9,809,809 km/s.
Explanation:Given that Saige's spaceship traveled 588,588,588 kilometers in 60 seconds, we can calculate the velocity of the spaceship by dividing the distance traveled by the time taken. Velocity = Distance / Time. Velocity = 588,588,588 km / 60 s = 9,809,809 km/s. Therefore, the velocity of Saige's spaceship is 9,809,809 km/s.
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If x = -5 and y = 3 x − 5, then y equals what number?
Answers
Answer:
-20
Step-by-step explanation:
Plug in -5 for x
Y=3(-5) -5
Y=-20
Hope this helped
:)
Answer:
-20
Step-by-step explanation:
y= 3x-5
y=3(-5)-5
y= -15-5
y= -20
The expression 20,000(1.05)' represents the population of a town t years after 2005
Select the value from each drop-down menu that best completes the sentence.
The population of the town
by
• each year
Answers
Answer:
Step-by-step explanation:
The given expression represents exponential growth. The expression is written as
20,000(1.05)^t
Where
20000 represents the initial population of the town in 2005.
1.05 represents the rate at which the population is increasing each year after 2005. The actual growth rate is
0.05 × 100 = 5%
t represents the number of years after 2005
Therefore, the complete sentence would be
The population of the town is increasing by 5% each year.
6x+10>5x-12
Help needed
Answers
Answer:
x > -22
Step-by-step explanation:
6x+10>5x-12
Subtract 5x from each side
6x-5x+10>5x-5x-12
x+10 > -12
Subtract 10 from each side
x+10-10>-12-10
x > -22
What’s the square root of 6
Answers
Answer:
2.44948974
Hope I could help.
Brainliest plz ;)
Please help solve this
Answers
Answer:
0.125
Step-by-step explanation:
Answer:
x = 1/8
Step-by-step explanation:
The first step is to make all of the denominators in the fractions the same. To do so, find what number multiplies by 4 to get to 8. This number is 2. Then, multiply that number to the numerator of the fraction you're going to change.
3/4 becomes 6/8.
The equation becomes 6/8 + x = 7/8.
Now, pay attention to the numerators. What number adds to 6 to get to 7? The answer is 1. Remember, the denominators must be the same, so the final answer is x = 1/8.
need math help!! answer choices are 80 , 40, 20, and 60
Answers
Answer:
60
Step-by-step explanation:
The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:
y + 10 = 2y - 40
Subtract y from both sides:
y + 10 = 2y - 40
-y -y
____________
10 = y - 40
Add 40 to both sides:
10 = y - 40
+40 +40
________
50 = y
Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):
y + 10
50 + 10 = 60
OR
2y - 40
2(50) - 40
100 - 40 = 60
oliver turned a circular dial one degree if he turns the dial one degree 27 times, what is the measurement on the angle in degrees
Answers
Answer:
27 degrees.
Step-by-step explanation:
Please kindly check the attached file
Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Combine like terms
Answers
Answer:
x=4
Step-by-step explanation:
Answer:
Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself
-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)
-4 + 3x = 8 (Add 4 on both sides)
3x = 12 Then divide 3 into both sides to get x by itself
x = 4
Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.
*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE