Answer: 89
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**
Answer: 1:2
Step-by-step explanation: if she sleeps 8 hours out of 24 hours, 8 goes into 24, 3 times so 1 to 2 ratio because you subtract the time she is awake from the time she is asleep
Answer:
54 units squared
Step-by-step explanation:
You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles.
Rectangle 1: length=7 width=6 6(7)=42
Triangle 1: base=6 height=2 1/2(6)2=6
Triangle 2: base=3 height=2 1/2(3)2=3
Triangle 3: base=6 height=1 1/2(6)1=3
Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared
Answer:
2^170
Step-by-step explanation:
(16 x 4^3 x 8^8)^ 5
- start by converting it all to a common base
(2^4 x 2^3 x 2^24)^5
- calculate the product, by adding all the powers
(2^34)^5
= 2^170
Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6
