two triangles are similar. the sides in order of smallest to largest of the smaller triangle are 3.5, y, and x. the sides in order of smallest to largest of the larger triangle are 7, x+4, and 3y. what are the values of the variable. (ps I took this from a picture so it makes more sense if u draw it)

Answers

Answer 1

Answer:
Since the triangles are similar, the ratio of each side in one triangle to
the corresponding side in the other one is always the same number.
We know what one pair of sides is ... 3.5 and 7 ... so we know that
each side in the first triangle is 1/2 as long as the corresponding side
in the other one.

So we can say with assurance that ...

y = 1/2 (x + 4)
and
      x = 1/2 (3y) .

That's all the intelligence required for this problem. The rest is just algebra,
and I should not need to go through all the routine misery for you here.

When you solve this pair of equations slowly, carefully, and accurately,
you'll find that the sides of the triangles are ...

   3.5,   8, 12
and
   7, 16, 24 .

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Solve the equation for a: r=a+k/b a= ?

Answers

r = a + k/b

a = r - k/b

a = 1/b (r.b - k)

if the perimeter of a rectangle picture frame must be less than 180 in., and the width is 26 in. what must the height h of the frame be?

Answers

180 > 2(26) + 2h
180 > 52 + 2h
128 > 2h
64 > h
height must be less than 64 inches

Maya makes 5 bracelets in 2/3 hour how many can she make in 1.5 hours How many bracelets does Maya braid in 1 1/2 b hours?

Answers

If Maya makes 5 bracelets in 2/3 hours, then she can make approximately 11 bracelets in 1.5 hours.

How many bracelets can Maya braid in 1.5 hours?

Given the parameter:

Maya makes 5 bracelets in 2/3 hours.

How many can she make in 1.5 hours?

To determine the number of bracelets Maya can make in 1.5 hours, we can set up a proportion.

Let 'x' be the number of bracelets in 1.5 hours

(5 bracelets) / (2/3 hour) = (x bracelets) / (1.5 hours)

Solve for x:

x × 2/3 = 5 × 1.5

x × 2/3 = 5 × 3/2

2x/3 = 15/2

2x × 2 = 3 × 15

4x = 45

x = 45/4

x = 11.25

x ≈ 11 bracelets

Therefore, she can make approximately 11 bracelets in 1.5 hours.

Learn more about proportions at :brainly.com/question/29774220

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What is the mass of an object that weighs 7 kg and 50 N?

Answers

Answer:

7kg

Step-by-step explanation:

mass: amount of matter in a substance,

SI Unit: kg

It has nothing to do with N (weight) in this case so take the kg value as the mass

Answer:

0.71 kg

Step-by-step explanation:

a common equation in physics is w = mg

we can rearrange this to m = w/g

g is the acceleration of gravity: 9.81 m/s^2

w is the weight of the given equation of the object: 7 kg

so m = 7 kg ÷ 9.81 m/s^2

this gives us: m = 0.71 kg

123b is 0.4 of what number

Answers

'of' means multiply
what number=x
123b is 0.4 of what
123b=0.4 times x
divide both sides by 0.4
307.5b=x

the number is 307.5n

Evaluate the expression for the given value of x 9x, x=5

Answers

If x = 5 then all you have to do is plug in 5 into 9x;
9 × 5 = 45

Hope I helped! <3

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