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nekit [7.7K]
4 years ago
15

Given the following diagram, find the missing measure. G

Mathematics
1 answer:
jonny [76]4 years ago
6 0

The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°

Given m∠P = 40°

We know that : Sum of Angles in a Triangle = 180°

⇒ m∠P + m∠M  + m∠O = 180°

⇒ 40° + 90° + m∠O = 180°

⇒ 130° + m∠O = 180°

⇒ m∠O = 180° - 130°

⇒ m∠O = 50°

We can notice that m∠O and m∠1 form a Linear Pair (180°)

⇒ m∠O + m∠1 = 180°

⇒ 50° + m∠1 = 180°

⇒ m∠1 = 180° - 50°

⇒ m∠1 = 130°

Last Option is the Answer

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Chandra wishes to reduce has mass by 6% in a month's time if his mass is 80 kg now what should his mass in a month's time Be?​
Arturiano [62]

Answer:

75.2 kg

Step-by-step explanation:

His mass now is 80 kg which is 100% of his mass since 100% is the entire amount. He wishes to reduce his mass by 6%.

100% - 6% = 94%

After reducing his mass by 6%, his mass will become 94% of his original mass, 80 kg.

We need to find 94% of 80 kg.

94% of 80 kg = 94% × 80 kg = 0.94 × 80 kg = 75.2 kg

7 0
3 years ago
Calculate the total to be repaid on a loan of $4600.00 for 18 months at a<br>rate of 5%.​
alekssr [168]

Answer:

$4945

Step-by-step explanation:

the interest on the loan can be found by using this formula:

I = P · r · t     P = principal, r = interest rate, t= time (in years)

I = 4600(.05)(1.5)

I = 345

Total Amount = Principal plus Interest

Total Amount = 4600 + 345 = $4945

8 0
3 years ago
Which of the following expressions are equivalent to 4+ (14 – 2) CHOOSE 3
Vanyuwa [196]

Answer:

The last 3, so C, D, and E.

Step-by-step explanation:

4+(14-2) = 16

See which of the following equations in the image create the value of 16 to find which ones are equivalent.

7 0
3 years ago
How much milk 10% of 10 lliters of milk
Oksi-84 [34.3K]

Answer:

1 liter of milk

Step-by-step explanation:

10%= 1/10

since the number we are taking 1/10 of <u>is</u> 10, we find one out of ten, which is of course 1.

5 0
3 years ago
Read 2 more answers
PLS I NEED HELP QWQ ​
lianna [129]

Answer:

∠APB = 106°

Step-by-step explanation:

Method 1: Focus on Triangle APB

Every angle of equilateral triangle ABC is 60°

∠BAP = 60°

∠ABP = 60° - 46° = 14°

Total degrees in one triangle is 180°

∠APB = 180° - 60° - 14° = 106°

Method 2: Exterior Angle Theorm

∠APB = ∠PBC + ∠PCB

∠APB = 46° + 60°

∠APB = 106°

8 0
2 years ago
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