Answer:
Step-by-step explanation:
5(d - 68) = 85
Use distributive property
5*d - 68*5 = 85
5d - 340 = 85
Add 340to both sides
5d = 85 + 340
5d = 425
Divide both side by 5
d = 425/5
d = 85
Answer:
The side lengths are 30, 36 and 39.
Step-by-step explanation:
To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.
Find y by cross multiplying numerator and denominator of each fraction.
13y = 39(12)
13y = 468
y = 36
Find the other missing side by repeating the process.
Find y by cross multiplying numerator and denominator of each fraction.
13y = 39(10)
13y = 390
y = 30
The side lengths are 30, 36 and 39.
<h3>
Answer: 24/25</h3>
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Explanation:
If sin(x) = 3/5, then cos(x) = 4/5 through the use of the trig identity
sin^2(x) + cos^2(x) = 1
This is assuming that x is in quadrant Q1.
Plug those values into the identity below and simplify.
sin(2x) = 2*sin(x)*cos(x)
sin(2x) = 2*(3/5)*(4/5)
sin(2x) = 24/25
AAS congruence theorem.
We know that <H is congruent to <F and <GJH is congruent to <JGF.
We also know that JG is congruent to JG, which gives us a side and two angles, so AAS would prove them congruent.
