The value of ? and X are 12 and 24 respectively
<h3>Similarity theorem of a triangle</h3>
A triangles is 2D shape with three sides and angles.
From the given diagram, the ratio of similar sides is equal to a constant as shown;
15/20 = 9+15/20+x
Cross multiply
15/9+15 = 20/20+x
15/24 = 20/20+x
Comparing with the given ratio
? = 24
X = 20+x
Find x
15(20+x) = 480
300 + 15x = 480
15x = 180
x =12
Fro the given expression
x/32 = 9/?
12/32 = 9/?
12 ? = 32 * 9
? = 24
Hence the value of ?and x from the given diagram is 12 and 24 respectively
Learn more on similar triangles here: brainly.com/question/11920446
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Answer:
$113.90
Step-by-step explanation:
Find the cost of the meal with sales tax:
90 x 0.075 = 6.525
Add that to the original cost of the meal:
90 + 6.525 = 96.525
Find the cost of the tip:
96.525 x 0.18 = 17.3745
Add the tip to the meal price:
96.525 + 17.3745 = 113.8995
Round to get your final answer
The equations that can be used to the value of x are 1) x+90+(x-10)=180 and 2) x+90+(2x+40)=180.
<u>Step-by-step explanation:</u>
Two properties can be used to find the value of the x.
1) Sum of Interior angles of a triangle is 180°.
⇒x+90°+(x-10)°=180.
2x+80°=180°.
2x=180°-80°.
2x=100°.
x=50°.
⇒(x-10)°=40°.
2) The Angle of the straight line is 180°.
From the given diagram, BC is a straight line ray with C as intersecting point. this will result in two angles. (refer the diagram).
The sum of those two angles will be 180°.
⇒ (x-10)°+ (2x+40)°=180°.
(3x+30)°=180°.
3x=150°.
x=50°.
∴(x-10)°=40° and (2x+40)° = 140°.
∴The equations that can be used to the value of x are x+90+(x-10)=180 and x+90+(2x+40)=180.
