Answer:
y= 18
42°
x=60
60°
Step-by-step explanation:
because of vertical angles theorem, 2y+6=8y-102
add 102 to 6
2y+108=8y
subtract 2y from 8y
108=6y
y= 18
now plug in to each equation for angles
2(18)+6= 42°
8(18)-102= 42°
now I dont think you can solve for x and y in an equation. 3x=180
divide 3 from 180
180/3 = 60
x=60
plug 60 into 3x=180 and get 180°.
angles for x are 180°
if I'm incorrect on the X value someone please correct me.
I hope this helps!❤
The percentage increase in the cost of a gallon of gas according to the description given is; 80%.
<h3>What is the percentage increase in the cost of a gallon of gas?</h3>
It follows from the task content that the percentage increase in the cost of a gallon of gas is to be determined.
Since the percent increase is given by the formula;
%increase = (∆price/initial price) × 100%
= (6.30 - 3.50)/3.50 × 100%
= 2.80/3.50 × 100%
= 80%.
Ultimately, thee required percentage increase in the cost per gallon of gas is; 80%.
Read more on percentages;
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Answer:
Measure of angle M = 41°
Step-by-step explanation:
From the figure attached,
NM ≅ NO [Given]
Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]
By triangle sum theorem,
m∠O + m∠N + m∠M = 180°
m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]
By substituting the values of the given angles,
(4y - 15)° + (7y)° + (4y - 15)° = 180°
(15y - 30) = 180
15y = 210
y = 14
Therefore, m∠M = (4y - 15)°
= 4(14) - 15
= 56 - 15
= 41°
First, let's simplify the equation by combining like terms. This is done as shown:
![-5a + 5a + 9 = 8](https://tex.z-dn.net/?f=-5a%20%2B%205a%20%2B%209%20%3D%208)
![9 = 8](https://tex.z-dn.net/?f=9%20%3D%208)
You may notice an issue.
isn't a valid statement, which means that there are zero solutions to the equation.
The answer is Choice A, or zero.