Answer:
<1 = 109 (Vertically Opposite to <3)
<2 = 71 (Corresponding to <6)
<3 = 109
<4 = 71 (Alternate Interior to <6)
<5 = 109 (Alternate Interior to <3)
<6 = 71
<7 = 109 (Corresponding to <3)
<8 = 71 (Vertically Opposite to <6)
Step-by-step explanation:
<1 = 2x + 29
<2 = x + 31
<3 = 2x + 29
<4 = x + 31
<5 = 2x + 29
<6 = x + 31
<7 = 2x + 29
<8 = x + 31
<1 + <2 = 180
(2x + 29) + (x + 31) = 180
(2x +x) + (29 + 31) = 180
3x + 60 = 180
3x = 180 - 60 = 120
x = 120/3
x = 40
<1 = (2x + 29)
= (2 * 40) + 29
= 80 + 29
= 109
<2 = x + 31
= 40 +31
= 71
Answer:
3.3 m
Step-by-step explanation:
The formula used to solve for leg a of a right triangle is a= sqrt(c^2-b^2). This is replaced by sqrt(6^2-5^2) for your equation. If you work this out, it equals about 3.32, and you have to round it to the nearest tenth, so the answer is 3.3 m.
Answer:
750in
Step-by-step explanation:
The area of a triangle is 1/2bh (half x base x height)
Therefore 1/2 x 60in x 25in = 750in
Answer:
A. -4
Step-by-step explanation:
For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.
You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.
Given:
The area model for
.
To find:
The value of
and the missing values in the area model.
Solution:
2.1 can be written as 2 and 0.1 on the left side of the area model.
3.2 can be written as 3 and 0.2 on the top of area model.
Area of the four parts of the area model are:




The complete area model is shown below.
After adding all areas of the area model, we get

Therefore, the value of
is 6.72 and the missing values of the area model are 0.3 and 0.02 respectively.