Answer:
<h2>x = 14, z = 65</h2>
Step-by-step explanation:
The angles (5x - 5)° and (6x + 31)° are supplementary angles.
Supplementary Angles add up to 180°.
Therefore we have the equation:
5x - 5 + 6x + 31 = 180 <em>combine like terms</em>
(5x + 6x) + (-5 + 31) = 180
11x + 26 = 180 <em>subtract 26 from both sides</em>
11x = 154 <em>divide both sides by 11</em>
x = 14
The angles (5x - 5)° and z° are vertical angles.
Vertical angles are congruent.
Therefore we have the equation:
z = 5x - 5 <em>put x = 14 to the equation</em>
z = 5(14) - 5
z = 70 - 5
z = 65
Answer:
a = 14.73
Step-by-step explanation:
This ratio can also be written like this:
Then you can cross multiply to get
11a = 6 x 27
11a = 162
Divide both sides by 11
11a / 11 = 162 / 11
a = 14.73
Answer:
Question 13 is 27/2 (decimal form, 13.5, Mixed fraction 13 1/2)
Question 14 = 4
Step-by-step explanation:
hope this helped you:)
Answer:
the answer is:
The dilation is an enlargement because the image, triangle A'B'C', is larger than the pre-image, triangle ABC.
Step-by-step explanation:
I got it right on edge
We will need to have two equations here, having x as the missing length. We know that the chairs are in the same amount on each occasion, so each equation should be equal to the other.
This sets up a problem of:
6x + 7 = 4x + 13
7 and 13 being the leftover chairs and 6 and 4 being the rows. Let’s solve for x.
x = 3
Knowing this, we plug in x for one of the equations
6(3) + 7
18 + 7
25
Liam has 25 chairs.
