Set up a proportion.
10/5=x/7
5x = 70
x = 14
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
Answer:
x = 1.5
Step-by-step explanation:
5x - 5 - 3x + 2 = 0
Combine like terms
2x - 3 = 0
Isolate variable x
Add 3 to both sides
2x = 3
Divide both sides by 2
x = 3 ÷ 2
x = 1.5
Answer:

Step-by-step explanation:
For calculating the sales tax of a product, it is required to first multiply the original cost price of the product by the sales tax percentage.
Once the sales tax has been computed add it to the original cost price in order to determine the total cost of the product.
The formula of final amount is:

Here,
A = final amount
P = original cost price
S = sales tax percentage
Equation: y=x-2 , Hope this helps!