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densk [106]
3 years ago
11

Find the missing side

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

7) 8.94

8) 6.71

Step-by-step explanation:

for both questions, use pythagorean theorem

a^{2} + b^{2} = c^{2}

<u>Question 7:</u>

4^{2} + 8^{2} = c^{2}

16 + 64 = c^{2}

80 =  c^{2}

\sqrt{80} = \sqrt{c^{2}}

c = 8.94

<u>Question 8:</u>

6^{2} + 3^{2} = c^{2}

36 + 9 = c^{2}

45 = c^{2}

\sqrt{45} = \sqrt{c^{2} }

c = 6.71

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6 0
3 years ago
Read 2 more answers
What is the solution to the system of equations below?
sattari [20]

Answer:

<h2>x = 9, y = -36 → (9, -36)</h2>

Step-by-step explanation:

y=-3x-9\qquad(1)\\\\y=\dfrac{1}{3}x-39\qquad(2)\\\\\text{Substitute (1) to (2)}\\\\-3x-9=\dfrac{1}{3}x-39\qquad\text{multiply both sides by 3}\\\\-9x-27=x-117\qquad\text{add 27 to both sides}\\\\-9x=x-90\qquad\text{subtract}\ x\ \text{from both sides}\\\\-10x=-90\qquad\text{divide both sides by (-10)}\\\\x=9

\text{Put the value of x to (1):}\\\\y=-3(9)-9\\\\y=-27-9\\\\y=-36

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3 years ago
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Answer:

angles b and c should be 153° each.

Step-by-step explanation:

We know the smaller angle is 27°. The other small angle, vertical to the 27° angle is also 27° because they are vertical angles. Along the lines, two angles should form 180°. So 180-27=153°. All together the angles should be 360°. Check your answer by doing 153+153+27+27=360. therefore the missing angles are both 153°

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