All categories

3 years ago

Find the unknown length y in the following pair of the similar triangles.

Mathematics

1 answer:

yulyashka [42]3 years ago

5 0

Answer:

y = 9.75

Step-by-step explanation:

Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.

Therefore, 39/y = 23/5.75 = 35/8.75

Let's find y

39/y = 23/5.75

==>Cross multiply

39*5.75 = 23*y

224.25 = 23y

==>Divide both sides by 23

224.25/23 = y

9.75 = y

y = 9.75

Check:

Thus,

39/9.75 = 23/5.75 = 35/8.75 = 4

Our answer y, which is 9.75, is correct.

You might be interested in

Teresa is building a scale model of the JP Morgan chase Tower in Houston.In her scale model, 1.5 inches represents 61 meters. Si

Jet001 [13]

Answer:

Teresa should build 7.5 inches model.

Step-by-step explanation:

Consider the provided information.

Teresa is building a scale model of the JP Morgan chase Tower in Houston.

Her scale model, 1.5 inches represents 61 meters.

The actual building is 305 meters tall,

First find how many 61's are there in 305.

For this divide 305 by 61.

$\frac{305}{61}= 5$

Actual building is 5 times taller than 61. Thus the model should be 5 times taller than 1.5.

multiply 1.5 with 5 gives us:

$1.5\times 5=7.5$

Hence, Teresa should build 7.5 inches model.

7 0

2 years ago

How do you turn 3/5 to a decimal

Simora [160]

Answer: the answer is 0.6

Step-by-step explanation:

you divide 3 by 5

5 0

3 years ago

Absolute value inequalities. 10-4|9y-10|<-94

Ivahew [28]

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:y4\:\\ \:\mathrm{Decimal:}&\:y4\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{16}{9}\right)\cup \left(4,\:\infty \:\right)\end{bmatrix}$

Step-by-step explanation:

$10-4\left|9y-10\right|$

$10-4\left|9y-10\right|-10$

$-4\left|9y-10\right|$

$\left(-4\left|9y-10\right|\right)\left(-1\right)>\left(-104\right)\left(-1\right)$

$4\left|9y-10\right|>104$

$\frac{4\left|9y-10\right|}{4}>\frac{104}{4}$

$\left|9y-10\right|>26$

$9y-1026$

$y4$

5 0

3 years ago

Wich expression represent the sum of 59 and x

KIM [24]

I don't see the answers, but it would most likely be 59 + x.

7 0

3 years ago

Evaluate the expression when a = 9, b = 2, c = - 6 and d= -4<br> a-b<br> c-d

Anna35 [415]

Answer:

1. 9-2=7

2. -6-(-4)=-2

Step-by-step explanation:

a=9

b=2

c=-6

d=-4

8 0

1 year ago