Answer:
Step-by-step explanation:
The measure of angle one is 115 degrees because the angle with 115 degrees and angle one are alternate interior angles and alternate interior angles are congruent.
The measure of angle two is also 115 degrees because angle one and angle two are vertical angles and vertical angles are congruent.
The measure of angle three is 148 degrees because same side interior angles are always supplementary (supplementary = adds up to 180 degrees).
The measure of angle four is also 148 degrees because angle three and angle four are vertical angles and vertical angles are congruent.
The measure of angle five is 32 degrees because angle five and the angle which is given to be 32 degrees are alternate interior angles and alternate interior angles are congruent.
The measure of angle six is 65 degrees because straight lines are 180 degrees on each side. Angle six and the 115 degree angle (which is given) are supplementary (adds up to 180 degrees) because definition of a straight line.
<h2>M A K E S U R E T O U N D E R S T A N D</h2>
Answer:
3/5 2/3 0.7 8/7 .97
Step-by-step explanation:
3/5 =.6
2/3 = .66667
0.7 = .7
8/7 = .88889
.97 = .97
Converted in to decimal point that should be it from least to greatest
It’s just 324 x 8 because base x height
2592cm^3
Answer:
Step-by-step explanation:
Note that the squares are on the sides of these triangles are on the hypotenuse/one leg.
We know that the area of a square is 
where l is the length. Since we know the area, we can find the square root of the area to find the side length.
So the side lengths are 
and 
.
Since we know the hypotenuse is and one of the legs is , we can use the Pythagorean Theorem to find the missing side.
The Pythagorean Theorem states that 
, where c is the hypotenuse and a/b are the legs.
We know the <em>hypotenuse </em>and <em>a leg</em>, so we can substitute inside
Squaring a square root is the same as doing nothing.
Hope this helped!
Answer:
please last option
using 45 degree as reference angle
using tan relation
Tan45=perpendicular /base
1 = x\6
x = 6
now using right angled triangle relation
H²=p²+b²
then h²= 6²+6²
H = √36+36
H =6√2
therefore y=6√2
