Answers
Answer:
30
Step-by-step explanation:
First do 25/20 to get the proportional rate which is 1.25
then multiply 24 by 1.25 to get 30
The missing length PQ must be 30 for the two figures to be similar.
For two figures to be similar, their corresponding sides must have proportional lengths. Lets denote the two given quadrilaterals as PQRS and ABCD. To find the missing length PQ, we need to determine the proportional relationship between the corresponding sides of Quad PQRS and Quad ABCD.
The corresponding sides are:
PQ and AB
QR and BC
RS and CD
PS and AD
Since Quad PQRS ~ Quad ABCD, we can set up proportions for the corresponding sides:
[tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}} = \frac{{RS}}{{CD}} = \frac{{PS}}{{AD}}\)[/tex]
Given:
QR = 25
RS = 25
AB = 24
BC = 20
DA = 28
Let's use the proportion [tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}}\)[/tex] to find PQ:
[tex]\(\frac{{PQ}}{{24}} = \frac{{25}}{{20}}\)[/tex]
Cross-multiply to solve for PQ:
[tex]\(PQ \times 20 = 24 \times 25\)\\\\\(PQ = \frac{{24 \times 25}}{{20}}\)\\\\\(PQ = 30\)[/tex]
Therefore, PQ must be 30 for the two figures to be similar.
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Related Questions
This question is easy, but the person who answers this gets 100 points! Be fast!
What is (4 x 4) x ((5^2) x 1)
A. 500
B. 400
C. 50
D. 40
Answers
Answer:
B. 400
Step-by-step explanation:
4×4 =16
5^2 = 25
25×1= 25
16×25= 400
Each year, Andrea donates a total of $800 for scholarships at her local community college. This year, she wants the amount she donates for liberal arts to be three
times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.
The equation is Andrea will donate $ for business scholarships and $ for liberal arts scholarships.
Answers
Answer:
The equation is [tex]L + B = \$800[/tex]
Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.
Step-by-step explanation:
Given
Represent Liberal Arts with L and Business with B
From the question, we have that:
[tex]L = 3 * B[/tex]
and
[tex]Total = \$800[/tex]
Required
Determine how much she donates for each
The total L + B is 800
i.e.
[tex]L + B = \$800[/tex]
Substitute 3 * B for L
[tex]3 * B + B = \$800[/tex]
[tex]3 B + B = \$800[/tex]
[tex]4B = \$800[/tex]
Solve for B
[tex]B =\$800/4[/tex]
[tex]B =\$200[/tex]
Recall that :
[tex]L = 3 * B[/tex]
[tex]L = 3 * \$200[/tex]
[tex]L = \$600[/tex]
Solve the equation y = ax − b for the variable x.
Answers
Answer:
x = y/a + b/a
? is that what you meant
Step-by-step explanation:
Answer:
the answer is d) x = y/a+ b/a
Step-by-step explanation:
brainliest pleasee
pls help whoever gives me the most correct answer I'll mark brainliest
Question 7 (Worth 1 points)
(04.03 MC)
The price of oranges at a farm is $1.16 per pound. Which equation can be used to determine c, the total price of n pounds of oranges?
c equals 1.16 over n
c = 1.16n
c = 1.16 + n
c = 1.16 − n
Points earned on this question: 0
Question 8 (Worth 1 points)
(04.03 MC)
The graph below shows the price of different numbers of towels at a store:
A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 17, 34, 51, 68, and 85. Points are shown on ordered pairs 0, 0 and 2, 17 and 4, 34 and 6, 51 and 8, 68. These points are connected by a line. The label on the x-axis is Number of Towels. The title on the y-axis is Price in dollars.
Which equation can be used to determine p, the cost of t towels?
p = 8.50 + t
t = 8.50 + p
t = 8.50p
p = 8.50t
Points earned on this question: 0
Question 9 (Worth 1 points)
(04.04 MC)
If a sprinkler waters 1 over 8 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?
2 hours
4 hours
10 hours
16 hours
Points earned on this question: 1
Question 10 (Worth 1 points)
(04.04 MC)
If 2 over 3 ton of gravel covers 3 over 4 of a driveway, how many tons of gravel are required to cover the entire driveway?
1 over 3 ton
1 over 2 ton
8 over 9 ton
11 over 12 ton
Points earned on this question: 1
Question 11 (Worth 1 points)
(04.05 MC)
David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in David's measurement?
0.39%
0.94%
6.50%
6.39%
Points earned on this question: 0
Question 12 (Worth 1 points)
(04.05 MC)
The regular price of a coat is $40.25. During a sale, the coat was marked 24% off. What was the price of the coat during the sale?
$30.59
$37.85
$40.01
$40.49
Points earned on this question: 0
Answers
Answer:
c= 1.16n
Step-by-step explanation:
j
Chloe drives from her house to her Grandma's house 48 miles away in an hour and 12 minutes. How far could she travel in 9 minutes?
a.12 miles
b.6 miles
c.8 miles
d.24 miles
Answers
Answer:
B. 6 miles
Step-by-step explanation:
first you convert the hour and 12 minutes into only minutes
72 minutes
then you set up in a fraction
48/72 = x/9
then solve for x, if you use a calculator it will give you 6
Which angles are corresponding angles?
Answers
try A
Step-by-step explanation:
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]
Step-by-step explanation:
✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl
5. Using commutativity and associativity of addition of rational numbers, express each<br />of the following as a rational number. <br />1. 2/5 +7/3+-4/5 +-1/3<br />2. 3/7+-4/9+-11 /7 +7/9<br />3. 2/5+8/3+-11 /15+4/5+-2/3<br />4. 4/7+0+-8/9-13/7+17/21<br /><br /><br /><br />So important please tell me fast.
Answers
Answer:
[tex] \LARGE{ \underline{\underline{ \pink{ \bf{The \: AnsWer:}}}}}[/tex]
Composition and Structure of the Oceans. Planet Earth has been called the "Blue Planet" due to the abundant water on its surface. Here on Earth, we take liquid water for granted; after all, our bodies are mostly made of water.
How many 9 digit numbers have their first and last digits even?
Answers
There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).
Answer: 200,000,000.
we have 9 spaces we need to fill in
There are 10 total numbers(0–9)
There are 5 even numbers(0,2,4,6,8)
fill from left to right
u cannot start with 0 so pick another number 2,4,6,8 any of those
4*10^7*5= 20*10^7 = 2*10^8
200,000,000.
Divide:
285 divided by 45
Which is true about this division problem? Select all that apply.
45 goes into 285 evenly.
45 does not go into 285 evenly.
The quotient contains a repeating decimal.
The quotient contains a terminating decimal.
The quotient is 6.ModifyingAbove 3 with bar.
The quotient is 6.3.
Answers
Answer:
Step-by-step explanation:
The true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
Here,
To divide 285 by 45, we perform the division:
6
-------
45 | 285
- 270
-------
15
The quotient is 6 with a remainder of 15.
Now, let's analyze the statements:
45 goes into 285 evenly. - False.
45 does not divide 285 evenly since there is a remainder of 15.
45 does not go into 285 evenly. - True.
As explained above, 45 does not divide 285 evenly, and there is a remainder of 15.
The quotient contains a repeating decimal. - False.
There is no repeating decimal in the quotient since the division is a whole number (6).
The quotient contains a terminating decimal. - False.
As mentioned earlier, there are no decimals involved in the quotient; it's a whole number.
The quotient is 6 with a bar above 3. - False.
The quotient is 6 with a remainder of 15, not 6.3.
In summary, the true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
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What’s the answer to this please, thanks!
Answers
Answer:
8 < x < 16
Step-by-step explanation:
Consider an angle slightly less than 180 between the 4 and 12 ft sides. The measure between the 2 end points is slightly less than the total of the two sides. So the greatest length is 16.
Consider an angle slightly more than 0 between the 4 and 12 ft sides. The measure between the 2 end points is slightly more than the difference between the two sides. So the lowest length is 8.
At the beginning of spring, Jeremiah planted a small sunflower in his backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week. How tall would the sunflower be after 10 weeks? How tall would the sunflower be after ww weeks?
Answers
Answer:
a) How tall would the sunflower be after 10 weeks?
35 inches tall
Step-by-step explanation:
At the beginning of spring, Jeremiah planted a small sunflower in his backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week.
If the rate:
1 week = 2 inches
10 weeks = x inches
x = 10 × 2/1
x = 20 inches
How tall would the sunflower be after 10 weeks?
The initial height = 15 Inches
The height after 10 weeks =
15 inches + 20 inches
= 35 inches
1/sin2A+cos4A=cotA-cosec4A
Answers
I’m not sure
what the slope of (15,9) (-10,3)
Answers
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[tex]slope = \frac{3 - 9}{ - 10 - 15} \\ [/tex]
[tex]slope = \frac{ - 6}{ - 25} \\ [/tex]
[tex]slope = \frac{6}{25} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
The slope is [tex]\frac{6}{25}[/tex] or [tex]0.24[/tex].
Step-by-step explanation:
This is the formula to calculate the slope from two given points: [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] . Now, substitute (x1, y1) and (x2, y2) for (15,9) and (-10,3). [tex]slope=\frac{3-9}{-10-15}[/tex] . That equation becomes [tex]slope=\frac{-6}{-25}[/tex] . You have to change [tex]\frac{-6}{-25}[/tex] to [tex]\frac{6}{25}[/tex] . The slope is 6/25 or in decimal form, 0.24.
what is 5 1/6 - 7 1/3
Answers
Answer:
-13/6 or -2 and 1/6 or -2.16
Step-by-step explanation:
The solution of expression in mixed fraction form is,
⇒ 2 1/6
We have to simplify the expression,
⇒ 5 1/6 - 7 1/3
Firstly we can change it into improper fraction,
⇒ 5 1/6 - 7 1/3
⇒ 31/6 - 22/3
Make denominator same by taking LCM of 6 and 3 which is 6,
⇒ 31/6 - 44/6
⇒ (31 - 44) / 6
⇒ 13/6
⇒ 2 1/6
Therefore, The solution of expression in mixed fraction form is,
⇒ 2 1/6
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what is2/3 divided by 4/5
Answers
Step-by-step explanation:
2 /4
3. 5
doing reciprocal
2× 5
3. 4
= 8×15
12
= 120
12
=10 ans
hope it help u..
can someone please help.. will mark brainliest !
Answers
Because it’s cost 12 to join then she has to pay a monthly fee of 20 dollars. So it will be 12+20x because you don’t know how many months they’ll be going. Then 4 to join 22 for monthly same thing as the first one so 4+22x giving you 20x+12=22x+4
20. D
The key word was each, you don’t know how many times a week they’ll be buying so the the X substitutes that in.
(Hope that makes sense)
PLZ ANSWER ASAP ONLY IF YOU ARE CORRECT!!!
Answers
Answer:
r=-35
Step-by-step explanation:
jack needs 22 pirates for every 2 ships he manages
Answers
A gardener measures the heights of 2 plants at the end of every week. The function y=3x+8.5 of plant A in centimeters at the end of x weeks. The function y=2.5x+14.5 gives the height of plant B in centimeters at the end of x weeks.
Answers
Answer: Plant A and plant B will be the same height at the end of week 12.
Step-by-step explanation: You don't care about this
Ashley simplified the following expression with the given steps 2(x+4)-(2x-8) 2x+4-2x-8 2x-2x+4-8 0-4 -4 Explain to her what her error was and how to correct it
Answers
Since she made a mistake on the first step, all her equation messed up.
2x + 8 - 2x - 8
The correct answer would be 0
Original price: $72.00
Markdown: 33% please i rlly need help thanks mate
Answers
Answer:
$48.24
Step-by-step explanation:
33% of 72 = 23.76
72 - 23.76 = 48.24
As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.
Answers
Answer:
15
Step-by-step explanation:
24*5=120 / 8 = 15
15 is answer.
Solve this equation.
23x−15x=x−1
Answers
Answer:
x = -1/7
Step-by-step explanation:
25x - 15x = x - 1
combine like terms
7x = -1
divide
x = -1/7
Answer:
x = -1/7 (the whole fraction is negative)
Step-by-step explanation:
23x−15x=x−1
8x = x - 1
8x - x = x - 1 - x
7x = -1
x = -1/7
Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!
Answers
Answer:
f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]
Step-by-step explanation:
Using the standard form of the exponential function
y = a [tex]b^{x}[/tex]
To find a and b , substitute ordered pairs from the graph
Using (0, 0.5 ), then
0.5 = a[tex]b^{0}[/tex] [
a = 0.5 , so
y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]
Using (1, 1) , then
1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus
b = 2
f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph
simplefy the equation
Answers
Answer:
i wish i could simply life.
Step-by-step explanation:
What is the estimated product?
86 × 32
Answers
Answer:
2,752
Step-by-step explanation:
86x32 = 2752
Product: It means to multiply.
Answer:
I believe the estimated product is 2749
The square of a number is 12 less than 7 times the number. What is the number? –4 or –3 –4 or 3 –3 or 4 3 or 4
Answers
Answer:
Answer: D (3 or 4)
Step-by-step explanation:
There are 13 boxes with 5 pencils in each box. How many pencils in all? (PLZ HELP)
Answers
Answer:
65 pencils in all
Step-by-step explanation:
13 times 5 is 65, so 65 pencils in all.
With more than 33 species, more species of bats live in Texas than anywhere else in the United States. If Texas contains fewer than 3% of the species of bats in the world, how many species of bats are there worldwide?
Answers
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Given the statement "If there is a lightning storm, then we won’t go swimming,” which is the contrapositive?
If there is not a lightning storm, then we will go swimming.
If there is not a lightning storm, then we won’t go swimming.
If we go swimming, then there will not be a lightning storm.
If we don’t go swimming, then there will be a lightning storm.
Answers
contrapositive = if ~q, then ~p
therefore, the answer is
if we go swimming, then there won’t be a lightning storm
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