In a circle The measurement of a CENTRAL ANGLE (vertex C) is equal to the measurement of the arc intercepted:
65x-4 = 3x+120 ===> 62x=124 & x= 2, hence the arc = 2
Answer:
Adults $ 17
Students: $8
Step-by-step explanation:
Adults: x
Students: y
a) 25x + 31y = 673
b) 27x +31y = 707
Elimination:
a) -1(25x + 31y = 673) = -25 -31y = -673
a + b
= (-25 -31y = -673) + (27x + 31y = 707)
= 2x = 34
x = 34/2
x = 17
Substitution a or b:
a) 25(17) + 31y = 673
425 + 31y = 673
31y = 673 - 425
31y = 248
y = 248/31
y = 8
Let's solve number 7 <span>step-by-step.
</span><span><span>y/23</span>=7
</span>Step 1: Multiply both sides by 23.
<span><span>y/23</span>=7
</span><span><span><span>(<span>y23</span>)</span>*<span>(23)</span></span>=<span><span>(7)</span>*<span>(23)
</span></span></span><span>y=<span>161 is our answer.
</span></span>Let's solve number 8 step-by-step.
<span>n−4.85=12.6
</span>Step 1: Add 4.85 to both sides.
<span>n−4.85+4.85=12.6+4.85
</span>n=17.45 is our answer.
<span>
</span>Let's solve number 12 step-by-step.
<span><span>m/5</span>=8
</span>Step 1: Multiply both sides by 5.
<span><span>m/5</span>=8
</span><span><span><span>(<span>m/5</span>)</span>*<span>(5)</span></span>=<span><span>(8)</span>*<span>(5)
</span></span></span><span>m=40 is our answer.
</span><span>
</span>Let's solve number 16 step-by-step.
<span><span>a/12</span>=8
</span>Step 1: Multiply both sides by 12.
<span><span>a/12</span>=8
</span><span><span><span>(<span>a/12</span>)</span>*<span>(12)</span></span>=<span><span>(8)</span>*<span>(12)
</span></span></span><span>a=<span>96 is or answer.</span></span>
I believe the correct answer from the choices listed above is the third option. The total area of the frame would be expressed as A = <span>x^2+12x+36. </span>
Hope this answers the question. Have a nice day.
Answer:
-14.4
Step-by-step explanation:
the reason being is because 6 degrees celsius is equivalent to 42.8 degrees 14 degrees celsius is equivalent to 57.2 degrees, that stated subtract subtract 57.2 from 42.8 and get -14.4