All categories

2 years ago

Please help. I don’t understand and don’t know what do to.

Mathematics

1 answer:

Bingel [31]2 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:

NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4

This ratio, or scale factor, also applies to the perimeters of the two triangles.

perimeter NPQ / perimeter RSQ = 3/4

Using the given expressions for the perimeters, we have ...

(7x +2)/(10x -4) = 3/4

We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.

4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)

28x +8 = 30x -12 . . . . . eliminate parentheses

20 = 2x . . . . . . . . . . . add 12-28x to both sides

10 = x . . . . . . . . . . . divide both sides by 10

The perimeter of ΔNPQ is ...

7x +2 = 7(10) +2 = 72

The perimeter of triangle NPQ is 72 units.

You might be interested in

A circular mirror has a diameter of 12 inches what is the area in sqaure inches of the mirror

Oksana_A [137]

113.1in² is the answer

3 0

3 years ago

Read 2 more answers

Samantha is studying the population growth of an endangered birth. The growth can be modeled by the equation B(t) 100 + 3/5t^5 ,

solong [7]

The value of the population of the growth of an endangered birth after 5 years is 1975

<h3>How to determine the population after 5 years?</h3>

The population function is given as:

B(t) = 100 + 3/5t^5

At 5 years, the value of t is 5

So, we have

t = 5

Next, we substitute 5 for t in the equation B(t) = 100 + 3/5t^5

This gives

B(5) = 100 + 3/5 * 5^5

Evaluate the exponent

B(5) = 100 + 3/5 * 3125

Evaluate the product

B(5) = 100 + 1875

Evaluate the sum

B(5) = 1975

Hence, the value of the population of the growth of an endangered birth after 5 years is 1975

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

4 0

1 year ago

. If m 4 = 105, then what is m 8?

polet [3.4K]

I believe the answer is 210 because 1m= 26.25 and that x's 8= 210

7 0

3 years ago

Read 2 more answers

Select the correct answer.

Eva8 [605]

Answer:

Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x

Step-by-step explanation:

Let us go through each of the equations one by one.

Equation A: $2.3y+2+3.1y=4.3y+1.6+1.1y+0.4$

This simplifies to

$5.4y+2=5.4y+2$

which has infinitely many solutions.

Equation B: $32x+25-21x=10x$

this simplifies to

$x+25=0$

$x=-25$

which is exactly one solution.

Equation C: $\frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x$

this simplifies to

$\frac{5}{8} x+2.5=\frac{5}{8} +1.5$

$2.5=1.5$

There's no way this is going to be possible; this equation has no solutions.

Equation D: $\frac{1}{3} x+\frac{1}{7} x=\frac{3}{7} x$

this gives

$\frac{1}{3} =\frac{2}{7} y$

$y=\frac{7}{6}$

which is exactly one solution.

Thus we see that it is equation C that has no solutions.

3 0

3 years ago

Please helo with thos question pleas

natta225 [31]

The sum of the opposite interior angles is equal to the exterior angle.

So,

∠CAB + ∠ACB = ∠CBD

x + 40 + 3x + 10 = 6x

4x + 50 = 6x

2x = 50

x = 25°

∠CAB = x + 40 = 25 + 40 = 65°

Hence, the answer is D.

4 0

3 years ago