Answer:
m=10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7(2m−6)+21=−77
(−7)(2m)+(−7)(−6)+21=−77(Distribute)
−14m+42+21=−77
(−14m)+(42+21)=−77(Combine Like Terms)
−14m+63=−77
−14m+63=−77
Step 2: Subtract 63 from both sides.
−14m+63−63=−77−63
−14m=−140
Step 3: Divide both sides by -14.
-14m/-14=-140/-14
m=10
<h3>
Answers:</h3>
angle FHG = 42 degrees
angle GHI = 100 degrees
=========================================================
Explanation:
FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.
Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)
This is the angle addition postulate.
------------------
(angle FHG) + (angle GHI) = angle FHI
(3x+6) + (9x-8) = 142
3x+6+9x-8 = 142
(3x+9x) + (6-8) = 142
12x - 2 = 142
12x-2+2 = 142+2 ... adding 2 to both sides
12x = 144
12x/12 = 144/12 .... dividing both sides by 12
x = 12
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Use that x value to find the angles we're after
angle FHG = 3x+6 = 3*12+6 = 36+6 = 42
angle GHI = 9x-8 = 9*12-8 = 108-8 = 100
Note how
(angle FHG) + (angle GHI) = 42 + 100 = 142
which is the measure of angle FHI. This confirms the answers.
Hey there!
- Factor pair basically 2 factors that you multiply the given numbers to each other to get a given product (answer)
“Factors of 72”
- So we have to find MULTIPLES that gives you 72
Answers ⬇️
▸ 1 • 72 = 72
(SAME thing with 72 • 1 = 72)
▸ 2 • 36 = 72
(SAME with 36 • 2 = 72)
▸ 3 • 24 = 72
(SAME with 24 • 3 = 72)
▸ 4 • 18 = 72
(SAME with 18 • 4 = 72
▸ 6 • 12 = 72
(SAME with 12 • 6 = 72)
▸ 8 • 9 = 72
(SAME with 9 • 8 = 72)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
B. 0.56
Step-by-step explanation:
A. 0.81 > 0.7
B. 0.56 < 0.7 & 0.56 > 0.15
C. 0.76 > 0.7
D. 0.005 < 0.15
Answer:
The correct answer is 288.
Step-by-step explanation:
A person has to order a new car.
He has a choice of 9 colors.
Other parameters include air conditioning, heated seats, anti-lock brakes, power windows, CD player.
Each of these parameters he have two options each.
Therefore the number of different ways can a new car be ordered in terms of these options is given by 9× 2 × 2 × 2 × 2 × 2 = 288.
The person have 288 ways of choosing which kind of car is he going to order for himself.
