1. The sum of three times k and eight is eleven
2 answers:
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Answer:
(since they're similar, set them up as a proportion to find x)
14*14 = 8(x+2) (cross multiply, solve the left side, and distribute the right side)
196 = 8x +16 (subtract 16 from both sides)
180 = 8x (divide both sides by 8)
x= 22.5 (is your answer, or C)
Step-by-step explanation:
We have two right triangles and three different rectangles.
The formula of an area of a right triangle:
l₁, l₂ - legs
We have l₁ = 20cm and l₂ = 21cm. Substitute:
The formula of an area of a rectangle:
l - length
w - width
We have:
rectangle #1: l = 22cm, w = 29cm
rectangle #2: l = 22cm, w = 21cm
rectangle #3: l = 22cm, w = 20cm
The total Surface Area of the triangular prism:
Answer:
C. 75°
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of angle AEC.
We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.
Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.