Answer: The measure of angle 1 is equaled to 20
Step-by-step explanation:
4x= 80 (You divide 80 by 4, which is 20), so the measure of angle 1 is 20.
Answer: x = - 10
Step-by-step explanation:
a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°
b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°
c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°
d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°
∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°
69° + 69° + ∠2 = 180°
∠2 = 42
x) m∠2 = 42
x + 52 = 42
x = -10
Answer:
3±95√3 is simplified as 167.5495 or - 161.5495
Step-by-step explanation:
Given expression;
3±95√3
This expression can be simplified as;
3±95√3 = 3 + 95√3 or 3 - 95√3
= 3 + 95(1.7321) or 3 - 95(1.7321)
= 3 + 164.5495 or 3 - 164.5495
= 167.5495 or - 161.5495
Therefore, 3±95√3 is simplified as 167.5495 or - 161.5495
There are 5 large dogs and 3 small dogs
Let "S" be the number of small dogs
Let "L" be the number of large dogs
Given that There are a total of 8 small and large dogs
So we can frame a equation as:
number of small dogs + number of large dogs = 8
S + L = 8 ------- eqn 1
You realize there are 2 more large dogs than small dogs
Number of large dogs = 2 + number of small dogs
L = 2 + S -------- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "L" and "S"
Substitute eqn 2 in eqn 1
S + 2 + S = 8
2S + 2 = 8
2S = 6
Substitute S = 3 in eqn 2
L = 2 + 3 = 5
Thus there are 5 large dogs and 3 small dogs
Answer:
5 large dogs and 3 small dogs
Step-by-step explanation:
A. 16 cm
B. 21.1 cm
C. 13.4 cm
D. 21.6 cm
ANSWER
a. 226m³
EXPLANATION
The volume of a cylinder is calculated using the formula:
where r is the radius and h=8m is the height of the cylinder.
The radius is half of the diameter.
This means that:
We plug in the values into the formula to get:
To the nearest cubic meters, the volume is 226 m³.