Answer:
x = 65
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(leg of big Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
x² = 25 × 169 = 4225 ( take square root of both sides )
x = 
= 65
14=2c-6+3c14, we can re-write it as
14=2c-6+42c
14+6=44c
c=20/44 in fraction form OR 0.45 in decimal form.
<span>he total number of internal degrees is (n-2)*180 = 4*180 = 720 degrees.
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let a = one of the congruent angles.
you have:
angles 1, 2, and 3 = a.
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if a = 2 * angle 4, then angle 4 = 1/2 * a
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if a = 1/2 * angle 5, then angle 5 = 2 * a
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we have:
angle 1 = a
angle 2 = a
angle 3 = a
angle 4 = 1/2 * a
angle 5 = 2 * a
angle 6 = 115
</span><span>-----
since the sum of the angles is equal to 720, we have:
3*a + 2*a + 1/2*a + 115 = 720
combine like terms to get:
5.5 * a + 115 = 720
subtract 115 from both sides to get:
5.5 * a = 720 - 115 = 605
divide both sides by 5.5 to get:
a = 720/5.5 = 110
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angle 1, 2, and 3 are each 110 degrees.
angle 4 = 55 degrees
angle 5 = 220 degrees
angle 6 = 115 degrees
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the question is:
What is the measure of the smallest angle?
the answer is:
55 degrees.</span>
Answer:
the answer is 47
Step-by-step explanation:
<em>Answer:</em>
a = 7 & a = −7
<em>Explanation:</em>
Rewrite the equation as
(x+a)(x−a)=x^2−49
Simplify (x+a)(x−a)
x^2−a^2=x^2−49
Move all terms not containing a to the right side of the equation.
−a^2=−49
Multiply each term in −a^2=−49 by −1
a^2=49
Take the square root of both sides of the equation to eliminate the exponent on the left side.
a=±√49
The complete solution is the result of both the positive and negative portions of the solution.
a=7,−7
