Myra just finished a beautiful painting and would like to build a frame around it. If the diameter of the picture is 33 inches a
2 answers:
<u>Answer:</u>
116.24 inches
<u>Step-by-step explanation:</u>
The diameter of the painting which Myra painted has a diameter of 33 inches.
If the frame is 2 inches wide so the frame and the painting would have a diameter of 33 + 2 + 2 = 37 inches.
And so its radius will be 37/2 = 18.5 inches
We know the formula of circumference:
<em>Circumference = </em>
Putting the value of radius (frame + painting to get:
= 2 x 22/7 x 18.5 = 116.24 inches
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<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
<u>Explanation</u><u>:</u><u>-</u>
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
Hi there! The answer is x = -1
Let's solve this equation step by step!
First collect terms.
Subtract (1/2)x from both sides.
Subtract 3 from both sides.
And finally divide by -1 3/4
Let's solve this equation step by step!
First collect terms.
Subtract (1/2)x from both sides.
Subtract 3 from both sides.
And finally divide by -1 3/4