Answer:
x = 85 deg
Step-by-step explanation:
We can see that there are two straight lines that intersect and that the two angles given are opposite angles.
Because they are opposite angles, the two angles have the same value, i.e
(x + 5) = 90 (subtract 5 from each side)
x = 90 - 5
x = 85 deg
Answer+Step-by-step explanation:
m = man's age
s = son's age
m=s+36
(m+8)=3*(s+8)
Resolves to: s=10, m=46
So the man is 46 (=10+36).
In 8 years, son is 18 (=10+8), man is 54 (=3*18 and 46+8), thank you.
The figure shows that the polygon:
- Has 6 sides.
- Divided into 4 triangles.
- Total interior angle measure of 180°.
- Total measure of the interior angles of this polygon is 720°.
<h3>What is the polygon about?</h3>
The polygon has sides of: AB, BC, CD, DE, EF, FA.
So, this means that they have 6 sides and when you look at the diagram, this 6 sides can be divided into 4 triangle of which whose total interior will sum up to 180°.
Since there are 4 triangles and the interior is 180°, then to get the total measure of the interior angles of this polygon will be:
= 180 X 4 = 720
Therefore, one can say that the The figure shows that the polygon, has 6 sides, may be divided into 4 triangles, each of which will have a total interior angle measure of 180. Therefore, the total measure of the interior angles of this polygon is 720.
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Answer:
height of the tree is 30 feet
Step-by-step explanation:
a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.
shadow of a 5 feet tall person is 7 feet long
Let x be the height of the tree
shadow of a 42 feet tree is x feet long
Make a proportion

cross multiply


divide by 7 on both sides
x=30
So height of the tree is 30 feet
The equation of the line is -6x - 2y = -18.
At the x-intercept, the value of y is zero.
Therefore
-6x - 2(0) = -18
-6x = -18
x = -18/(-6) = 3
Answer: 3.