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Alina [70]
1 year ago
13

If △STU is similar to △XYZ, the sides of △STU must be congruent to thecorresponding sides of △XYZ.A. TrueB. False

Mathematics
1 answer:
katovenus [111]1 year ago
7 0

Similar triangles are triangles that have the same interior angles and the corresponding sides are proportional, that is, for triangles STU and XYZ we have the proportion:

\frac{ST}{XY}=\frac{TU}{YZ}=\frac{SU}{XZ}

The corresponding sides are congruent only if the proportion rate is 1, but that is not always true and it's not necessary.

Therefore the correct option is B: False

If the corresponding sides are congruent, the triangles are congruent.

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HELP ME PLEASE. Anson borrows some money from a bank at a rate of 10% simple interest for 1 year. Jenny borrows $1000 more then
kondaur [170]
$5000 is the correct answer.

The formula for simple interest is I=prt.  Anson gets 10% interest; 10% = 10/100 = 0.1.  This gives us
I=p(0.1)(1) = 0.1p.

Jenny borrows 1000 more than Anson, so her principal is p+1000.  Her rate is 8%; 8%=8/100 = 0.08.  She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40

Together they earned 740:
0.1p+0.04p+40 = 740

Combine like terms:
0.14p+40 = 740

Subtract 40 from both sides:
0.14p+40-40 = 740-40
0.14p = 700

Divide both sides by 0.14:
0.14p/0.14 = 700/0.14
p = 5000
6 0
3 years ago
3Q + 5 + 2 - 8 - 5 equals 65
Usimov [2.4K]
Answer
 23.70

Proof
3Q+5+2-8-5=65        ~ Simplify
3Q-6=65                      ~Cancel out the six
     +6  +6                      ~Add 6 to both sides since it is a           3Q=71                            negative.
 /3     /3                          ~Cancel out the three.
Answer                         ~Divide both sides by 3
Q=23.66                        
Rounded Up
Q=23.70

4 0
3 years ago
Read 2 more answers
Please help me!!!! on question 11
marishachu [46]

Answer:

D)

Step-by-step explanation:

y=\frac{-3}{2}x-4

Coefficient of x is -3/2 and so multiply the whole equation by 2

2*y=2*\frac{-3}{2}x-2*4\\\\2y=-3x-8

3x + 2y = -8

4 0
3 years ago
A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going
Alexxandr [17]

The number of feet of fencing that is needed to go around the pool path is D. 201 ft.

<h3>How to calculate the number of feet?</h3>

We have a pool with a radius of 28 feet. The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.

= (28 + 4) feet

= 32 feet

The circumference of the outer edge of the pool path would be equal to the perimeter.

p = 2 * pi * r

p = 2 * 3.14 * 32

p = 200.96 feet

p = 201 feet

Learn more about distance on:

brainly.com/question/15973912

#SPJ1

7 0
2 years ago
Select the statements that are true about the values of 0.026 and 2.60
zhannawk [14.2K]
The answers are A and E because .026 x 100 = 2.6 and 2.60 / 100 = .026
3 0
3 years ago
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