9514 1404 393
Answer:
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Step-by-step explanation:
Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.
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Working from the top and from the given angles, ...
h = 60°
f = g = 180° -h = 120°
j = 124°
k = i = 180° -124° = 56°
a = 64°
b = d = 90°
c = e = 90° -64° = 26°
In summary, measures in degrees are ...
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Fraction 10/12 would be greater than 3/4
<span>15 is 10% what number? in equation form is 15/10% = X.We need to first convert the percentage to an equivalent decimal to do our calculation.<span>Converting a percentage to a decimal we remove the percentage sign and divide by 100.</span></span>
Answer:
(a) is 4*C and (B) is 16*C
Answer:
Step-by-step explanation:
This is a quadratic expression. Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.
The coefficients of this quadratic expression are a = 7, b = 5 and c = -3
The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109. Because this is positive, we know that the expression has two unequal, real roots.
Using the quadratic formula, we now find these roots:
-b ± √(discriminant)
x = -------------------------------- which here is:
2a
-5 ± √109
x = -----------------
14
The factors can be found from these two roots. The first one is
-5 - √109 5 + √109
(x - ---------------- ) = (x + ---------------- )
14 14
and the second is
5 - √109
(x + ---------------- )
14
