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Artemon [7]
4 years ago
11

∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-16)^{\circ}∠A=(2x−16) ∘ and m\angle B=(5x+28)^{\circ}∠B=(5x+28) ∘ ,

then find the measure of \angle A∠A.
Mathematics
1 answer:
Otrada [13]4 years ago
6 0

Answer:

The measure of angle A is 32

Step-by-step explanation:

A+B=180

2x-16+5x+28=180

7x+12=180

7x=168

x=24

A=2(24)-16

A=48-16

A=32

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Which number below is a prime number? O A. 61 OB. 102 O C. 75 O D. 64​
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

61 is divisible by itself and 1. It's prime.

102 ends in a 2. Therefore it is not prime because it can be divided by 2,

75 = 3*5*5 not prime.

64 = 2 * 2 * 2 *2 * 2*2 Not prime.

3 0
3 years ago
the width of a rectangle is the length minus 2 units. The area of the rectangle is48 units. What is the width, in units, of the
tatuchka [14]

Answer:

6

Step-by-step explanation:

put unknown as y

area of rectangle = width × long

y(y - 2)=48

y² -2y =48

u can use scientific calculator to find this

y²-2y-48=0

(y-8)(y+6)=0

y=8 y=-6

take the positive value and ignore the negative value

width=y-2 long=8

8-2=6

I hope this help you :)

6 0
3 years ago
Lucy bought three books at a bookstore. Here are their prices (in dollars).
Valentin [98]

Answer:

41.82$

Step-by-step explanation:

The prices are

7.58$, 16$, 18.24$.

To get the total of all what Lucy bought, You add the prices altogether.

That is,

18.24$

+16.00$

+<u>0</u><u>7</u><u>.</u><u>5</u><u>8</u><u>$</u>

41.82$

The total amount of what Lucy bought is 41.82$

8 0
2 years ago
Given f (x)=-3x+4 what is f (-4)<br> a.-40<br> b.-22<br> c.-1<br> d.40
FinnZ [79.3K]
F(x)=-3(x)+4
Therefore this implies that we must put the -4 where we see an X on the equation
F(-4)=-3(-4)+4
=16
6 0
3 years ago
The velocity v and maximum height h of the water being pumped into the air are related by the equation v=\sqrt(2gh) where g is t
Whitepunk [10]

The velocity v and maximum height h of the water being pumped into the air are related by the equation

v= \sqrt{2gh}

where g = 32

(a) To find the equation that will give the maximum height of the water , solve the equation for h

v= \sqrt{2gh}

Take square root on both sides

v^2 = 2gh

Divide by 2g on both sides

\frac{v^2}{2g} = h

So maximum height of the water h = \frac{v^2}{2g}

(b) Maximum height h= 80

velocity v= 75 ft/sec

Given g = 32

h = \frac{v^2}{2g}

h = \frac{75^2}{2*32}

h= 87.89 ft

The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.

So the pump will meet the fire department needs.

8 0
3 years ago
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