Answer:
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75°
Step-by-step explanation:
<u>Given : </u>
The second angle measures twice the first, and the third angle measures 5 more than the second.
Sum of angles = 180°
<u>Solution : </u>
Let the first angle be x
According to the given question :
Second angles = 2x
Third angle = 2x + 5
we know that Sum of angles = 180°
<u>Solving x value :</u>
x + 2x + (2x+5) = 180°
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
<u>Finding the measure of each angle : </u>
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75
Answer: 24
Step-by-step explanation:
Lowest common multiple means the lowest number that can be divisible by 8,12,3
Looking at this, let's pick 8&3 first
8×3=24
12×3=36
12×8=96
Looking at this value,24 seems to be the lowest,
Therefore the lowest common multiple is 24
Answer: C
Step-by-step explanation:
The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.
so the possible integers would be -2 -1 0.
Answer:
<em>The height of the monument is 124.8 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:
The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.
Taking the angle of 68° as a reference:
Solving for h:
Calculating:
h = 118.8 ft
The height of the monument is 118.8 ft + 6 ft = 124.8 ft
When writing a decimal, the numbers to the left of the decimal are whole numbers greater then or equal to 1. The numbers to the right of the decimal are numbers less then 1.
if u know 5/8 = 0.625, then 4 5/8 = 4.625
