What is the value of x? Enter your answer in the box. x = I NEED HELP ASAP

Mathematics

1 answer:

melomori [17]3 years ago

8 0

The sum of the angles of a triangle is 180°. So you can do:

91° + (8x + 3)° + (10x - 4)° = 180° To find x, you need to isolate/get the variable "x" by itself in the equation. First combine like terms (terms that have the same variable and power/exponent]

91 + 3 - 4 + 8x + 10x = 180 (I rearranged for the like terms to be next to each other)

90 + 18x = 180 Subtract 90 on both sides

18x = 90 Divide 18 on both sides to get "x" by itself

x = 5

PROOF

91° + (8x + 3)° + (10x - 4)° = 180° Plug in 5 for "x"

91° + (8(5) + 3)° + (10(5) - 4)° = 180°

91° + (40 + 3)° + (50 - 4)° = 180°

91° + 43° + 46° = 180°

180° = 180°

You might be interested in

Use the elimination to solve this equation. 2x+3y=55 9x+4y=105

seropon [69]

X=5 y=15 (5,15).
This is how you do it:
-4(2x+3y=55): -8x-12y=-220
3(9x+4y=105):27x+12y=315

You add the two new equations together, canceling out the y values, and get the x value. Then, you go back and plug in the x value in the original equation to get the y value.

6 0

3 years ago

During a construction project, heavy rain filled construction cones with water. The diameter of a cone is 12 in. and the height

sergey [27]

Volume of a cone = πr^2(h/3)
r=6
h=27

v = π(6^2)27/3
v = π (36)(9)

v=π324 in. cubed
or
v=1,017.36 in. cubed

3 0

3 years ago

The school that Amanda goes to is selling tickets to a spring musical. On the first

olya-2409 [2.1K]

Answer:

Senior citizen ticket: $3

Student ticket: $9

Explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

8 0

2 years ago

In a right –angled triangle, the length of hypotenuse and shorter sides are 13 cm and 5 cm respectively. Work out the other side

stellarik [79]

Answer: The other side is 12 cm.

Step-by-step explanation: