First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.
m∠O = 2 (65°) = 130°
Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.
m∠O + m∠C + m∠B + m∠A = 360°
Substituting the known values,
130° + 90° + 90° + m∠A = 360°
The value of m∠A is equal to 50°.
<em>Answer: 50°</em>
Answer:
Thy bought 150 Sweatshirts (x) and 250 tshirts (y)
Step-by-step explanation:
35x + 25y = 11500
x + y = 400
-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together
-25x - 25y = 10000
<u> 35x + 25y = 11500 </u>
10x =1500
x = 150
Plug 150 in either equation for x to find y
150 + y = 400
y = 250
Answer:
70 offices
Step-by-step explanation:
21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices
To simplify with exponents, don't feel like you have to work only with, or straight from, the rules for exponents. It is often simpler to work directly from the definition and meaning of exponents. Step-by-step explanation:
325 - [4(58 - 19) + (75 / 3)]
Divide:
325 - [4(58 - 19) + 25]
Distribute 4:
325 - [232 - 76 + 25]
Subtract:
325 - [156 + 25]
Add:
325 - [181]
Subtract:
144
