Answer: 8) 42°, 65°, 115° 9) 1.5, 2
Step-by-step explanation:
8) Right off the bat I know that the measure adjacent to 157° is
23°. With both numbers inside the triangle combined, we get
65° meaning the last number is 115 because that'll add up to 180°
9) Considering the smaller triangle has half the length of the bigger triangle
The length of the rest are half the size too.
EF = 1.5
DF = 2
Circumference is 2πr or πd.
So for part 1 the diameter = 9in.
Plug in 9 into the πd formula.
π*9 = 9π in. ≈ 9*(22/7) ≈ 28.29in
For part 2 (from what I can see) they want you to find the same circumference in centimeters(cm) and use 22/7 for π so first convert the radius to cm.
9 in = 9*2.54 = 22.86cm
Next plug in the values into the Circumference formula: π*d
(22/7)*(22.86) ≈ 71.85cm
Hope this helps!
<h3>Given</h3>
regular polygons with 5, 16, and 12 sides
<h3>Find</h3>
the measures of each interior and exterior angle
<h3>Solution</h3>
The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.
(a) pentagon. Exterior angle: 72°; Interior angle: 108°.
(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.
(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.
The equation of the graphed parabola is y=a
-4.
Given that parabola is plotted, concave up , with vertex located at coordinates (-3,-4).
We are required to find the equation of the graphed parabola.
The equation of a quadratic function of vertex (h,k) is given by:
y=a
+k
In the above equation a is the leading coefficient.
We have been given point (-3,-4).
We have to just put the value of h=-3 and k=-4 and the required equation will be as under:
y=a-4
Hence the equation of the parabola which is plotted, concave up, with vertex located at coordinates (-3,-4) is y=a-4.
Learn more about parabola at brainly.com/question/64712
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