The answer is 7. You can look at it like this. The two triangles are similar and the larger one's sides are twice the size of the smaller one's. So then we know GF is twice the size of JK.
2(2y+5)=5y+3
4y+10=5y+3
y=7
Answer:
Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp
we have
substitute and solve for x
A. W = L - 10
b. P = 2(L + L - 10)
P = 2(2L - 10)
P = 4L - 20
c. solve
P = 4L - 20
244 = 4L - 20
244 + 20 = 4L
264 = 4L
264 / 4 = L
66 = L or L = 66
Length of the rectangle = 66 mm
d.
W = L - 10
W = 66 - 10
W = 56
Width of rectangle = 56 mm
Answer:
19, 58 and 103
Step-by-step explanation:
Okay. Here we need to convert whatever statements we have into a mathematical expression.
Firstly, let’s give the smallest angle a value of x. Where do we now go from here? The measure of one angle is 1 degree greater than 3 times the size of the smallest angle. This means the value of the second angle is 3x + 1
Now for the third angle, the question stated that the third angle is thirteen degrees less than twice the measure of the second angle. The value for this is: 2( 3x + 1) - 13
Now when we add all these angles, surely, we get a result equal to 180.
x + 3x + 1 + 2(3x + 1) - 13 = 180
4x + 1 + 6x + 2 - 13 = 180
10x - 10 = 180
10x = 190 and x = 19.
Now the measure of the other angles are as follows:
3x + 1 = 3(19) + 1 = 57 + 1 = 58
2(3x + 1) - 13 = 2(58) - 13 = 103
