X

alexandr1967 [171]

Step-by-step explanation:

64+72+4x+20=180(Sum of angles of a triangle )
156+4x=180
4x=180-156
4x=24
X=24/4
X=6

Therefore The value of X is 6 degree.

6 0

2 years ago

Need help asappppppp

PilotLPTM [1.2K]

Given:

The right triangular prism.

Height of prism = 28 in.

Hypotenuse of base = 25 in.

leg of base = 24 in.

To find:

The lateral surface area of the prism.

Solution:

Pythagoras theorem:

$Hypotenuse^2=Perpendicular^2+Base^2$

Using Pythagoras theorem in the base triangle, we get

$25^2=24^2+Base^2$

$625-576=Base^2$

$\sqrt{49}=Base$

$7=Base$

The perimeter of the triangular base is:

$P=7+25+24$

$P=56$

Lateral area of a triangular prism is:

$A=Ph$

Where, P is the perimeter of the triangular base and h is the height of the prism.

Putting $P=56,h=28$ in the above formula, we get

$A=56(28)$

$A=1568$

Therefore, the lateral area of the prism is 1568 in².

8 0

2 years ago

Alyssa got a job as a part-time waitress at a diner. She earns a daily wage of $50 and a 20% tip from the bill amount of the cus

Murljashka [212]

The answer is D. on plato
y = 0.2x + 50

8 0

3 years ago

Suppose the claim size of an auto collision insurance, X, is uniformly distributed on the interval $1,000 to $10,000. What is th

timurjin [86]

Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

$E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500$

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

$E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56$

The percentage reduction on the claim payment is:

$P=(1-\frac{E_2(X)}{E(X)})*100 \\P=(1-\frac{3,555.56}{5,500})*100\\P=35.35\%$

There was a 35.35% reduction.

8 0

3 years ago

80 - [50 - {20 ÷ 2 – (16 - 2÷ 2) ÷ 3}]

trapecia [35]

Answer:

35

Step-by-step explanation:

We have to solve the problems in the parenthesis first.

(16-2÷2)= (16-1)=(15)

20÷2-15÷3

(20÷2)-(15÷3)

10-5=5

50-5= 45

80-45= 35

Hope this helps!

6 0

3 years ago