The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5
Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180
The value of x is 69
<h3>Vertical opposite angles</h3>
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertical opposite angles are congruent. Therefore,
a. ∠5 ≅ ∠7 (vertical angles)
Therefore, angles 5 and 7 are congruent angles.
∠7 = 47°
b. Suppose ∠6 = 2x - 5 . let's find x
Therefore,
∠5 + ∠6 = 180(angle on a straight line)
The equation to solve the above is as follows:
47 + 2x - 5 = 180
42 + 2x = 180
2x = 180 - 42
2x = 138
x = 138 / 2
x = 69
learn more on intersecting lines here: brainly.com/question/24715845
answers:
3.5
2.875
about 3.0625
Use thing below for answers
Let x be the number of movies purchased. If each movie you purchase costs $3.50 dollars, this means that the total cost of x movies in one month is $3.50x
In addition, you have to pay $40 for satellite TV. We can now find an equation to find the total cost per month:
40 + 3.50x
Now, by hypothesis, you paid $57.50 during a month as a total bill.
Which means that 40 + 3.50x = 57.50
We need to find the number of movies purchased during that month, or, in mathematical words, we need to solve for x.
40 + 3.50x = 57.50
First, let's put the variables apart and the numbers apart by subtraction 40 from each side, so we get:
40 - 40 + 3.50x = 57.50 - 40
3.50x = 17.50
Now divide both sides by 3.50
(3.50x)/(3.50) = 17.50 / 3.50
x = 5
So, during that month, you purchased 5 movies.
Hope this helps! :)
Answer:
y = -4/3x + 2
Step-by-step explanation:
Slope intercept form is y = mx + b.
Rearrange the equation into slope intercept form by isolating y:
12x + 9y = 18
9y = -12x + 18
Divide each side by 9:
y = -4/3x + 2
So, the equation is y = -4/3x + 2
Finish the equation given for x:
10x +15 = 9(9)
= 10x +15 = 81
Subtract 15 from both sides:
10x = 66
Divide both sides by 10:
x = 66/10
X = 6.6
Now replace x with 6.6 in the equation for DE:
DE = 2(6.6) +3
Simplify:
DE = 13.2 + 3
DE = 16.2
