Answer:
- 1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
<h3>#1</h3>
<u>Sum of interior angles is 180</u>
- 70 + 46 + x = 180
- 116 + x = 180
- x = 64
<h3>#2</h3>
<u>Sum of interior angles is 180</u>
- 84 + 7x + 1 + 9x - 1 = 84
- 16x + 84 = 180
- 16x = 96
- x = 6
<h3>#3</h3>
<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>
- 35 + 25 = 34 + x
- 60 = 34 + x
- x = 60 - 34
- x = 26
<h3>#4</h3>
<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>
- 5x - 7 + 6x + 3 = 84
- 11x - 4 = 84
- 11x = 88
- x = 8
- m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
The one that doesn’t go through the origin
Answer:
D. x=12
Step-by-step explanation:
Add 17 to the other side of the equal sign
x=17+5
Then add 17 and -5
X=12
Answer:
Given: y = x2 + 4x – 5
Find the following
y-intercept
x-intercepts or the zeros of the functions or roots
graph of the function, given vertex is at (-2, -9)
Solve the system of linear equations – x + 6y = 8 2x + 5y = 3
Write the names of curves, given their equations:
x2/16 + y2/9 = 1
3y = 2x + 5
(x - 5)2 + (y + 6)2 = 25
x2/16 – y2/25 = 1
y = 2x2 + 10x + 25
Write down the first five terms of the arithmetic progression with the first term 8 and common difference 7, then find the 17th
Write down the first five terms of the geometric progression with the first term 3 and common ratio 2, then find the 17th
Answer:
x=3
Step-by-step explanation:
the volume of the prism with triangular base is 54 unit³
The base is a triangle with, base i.e 4 units and height i.e x units
Also, height of the prism = 3x
So, volume of the prism is,
And
,

Then,

As the volume is given as 54 unit³, hence
6x²=54
x²=9
x=3