Answer:
9/20
Step-by-step explanation:
You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5
45/5=9
100/5=20
You get 9/20, and this is in simplest form.
Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values

solve for x

<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
Answer:
m= -16
Step-by-step explanation:
m/4+3= -1
-3 -3
m/4= -4
*4 *4
m= -16
Answer: 30°
Step-by-step explanation:
1. You know that:
- The length of the ladder is 30 feet.
- The window is located 15 feet above the ground.
2. Then, you can draw a right triangle as the one shown in the figure attached. So, you can calculate the angle asked as following:

Where:
α: the angle of the ladder with the ground.
opposite=15 feet
hypotenuse=30 feet
3. When you substitute values, you obtain:

°