Answer:
20°
Step-by-step explanation:
The sum of angles in a ∆ = 180°
Therefore, 
Use this expression to find the value of x, then find the measure of angle A.
Subtract 20 from both sides
Divide both sides by 20
Find measure of angle A.
Angle A is given as 
Plug in the value of x and solve
Answer:
The cost of the diamond last year is x = $ 830
Step-by-step explanation:
Let the cost of diamond last year = x
the cost of diamond present year = y
Given that diamond today cost ten dollars more than twice what it cost last year.
⇒ y = 2 x + 10 ------ (1)
The sum of the cost (last year and this year) is = $ 2500
⇒ x + y = $ 2500 -------- (2)
Put the value of y in equation (2) from equation (1), we get
⇒ 2 x + 10 + x = $ 2500
⇒ 3 x = 2490
⇒ x = $ 830
& y = 2500 - 830
⇒ y = $ 1670
Therefore the cost of the diamond last year is x = $ 830
5x + 10 10
---------- = -------
121 11
make the bottom have same common denominator
10/11 x (10/10) = 100/121
Get rid of the denominator (for both now have 121 as a base)
5x + 10 = 100
5x + 10 (-10) = 100 (-10)
5x = 90
5x/5 = 90/5
x = 18
x = 18 is your answer
hope this helps
Answer:
40π in^2
Step-by-step explanation:
360°/72°=5
so, each of the two shaded regions are 1/5 of the circle.
the formula for finding the area of a circle is πr^2, so:
area for one of the shaded regions:
1/5πr^2
1/5π(10)^2
1/5π100
20π in^2
this means that the area for one of the shaded regions is 20π. however, since there are two of them:
2(20π)=40π
so, the area of the shaded regions is 40πin^2
87g divided by 10 = 8.7
8.7 times 7 = 60.9
60.9g of sugar is needed to make 7 cakes
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