Answer:
√169 OR 13
Step-by-step explanation:
D= √(14-2)^2+(6-1)^2
D= √12^2=5^2
D= √144+25
D= √169 AKA 13
Let s represent the measure of the second angle.
The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).
The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).
The sum of these angles is 180°, so we can represent the sum as
... (s-15) + s + (45+s/2) = 180
Collecting terms, we have
... 2.5s +30 = 180
... 2.5s = 150 . . . . . . subtract 30
... s = 150/2.5 = 60 . . . . divide by the coefficient of s
The first angle is 60-15 = 45.
The second angle is 60.
The third angle is 45+60/2 = 75.
_____
<u>Check</u>
The sum of the three angles is 45 +60 +75 = 180.
Answer:
It has a scalar factor of 2.5
Step-by-step explanation:
You can just look at the bottom, the first shape has a bottom of 4 square while the second image has a bottom of 10 squared. You can divide the two to get the scaling factor. 10/4 = 2.5
You can also see one of the side square
Answer:
68 is what I'm getting for x
70 is the correct length of DH
Step-by-step explanation:
You can set up the proportion for this question.
99.2 / 62 = 112/(x + 2) Cross multiply
99.2 ( x + 2) = 62 * 112 Combine the right side
99.2(x + 2) = 6944 Use the distributive principle to remove the brackets.
99.2*x + 2*99.2 = 6944 Combine the factors on the left
99.2x + 198.4 = 6944 Subtract 198.4 from both sides
99.2x = 6944 - 198.4 Combine the terms on the right
99.2x = 6745.6 Divide both sides by 99.2
x = 6745.6/99.2
x = 68
DH = 70
