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DanielleElmas [232]
3 years ago
14

3valuate the diagram below. Find the values of m and n.

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

m = 20 and n = 35

Step-by-step explanation:

The triangle on the right has 2 congruent sides and is isosceles

Thus the 2 base angles are congruent, that is

n = \frac{180-110}{2} = \frac{70}{2} = 35

The external angle of a triangle is equal to the sum of the 2 opposite internal angles.

110 is an external angle to the triangle on the left, thus

m + 90 = 110 ( subtract 90 from both sides )

m = 20

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What is <br> r squared+7r+6=0
Firlakuza [10]

Answer:

r = -6, -1

Step-by-step explanation:

r^2 + 7r+6 =0

Factor

What 2 numbers multiply to 6 and add to 7

6*1 =6

6+1 =7

(r+6) (r+1) =0

Using the zero product property

r+6 =0        r+1 =0

r = -6            r=-1

7 0
3 years ago
A rectangular rug has a perimeter of 220 feet. The width of the rug is two feet less than the length. Find the length and the wi
Gekata [30.6K]

Answer:

The length is 56 and the width is 54.

Step-by-step explanation:

The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.

7 0
2 years ago
Select the property of equality used to arrive at the conclusion. if 1/3 x=5 then x=15 the multiplication property of equality t
REY [17]

If we take both sides of the equation \frac{1}{3} x=5 and <em>multiply either expression by 3</em>, the equality becomes

3\cdot\frac{1}{3}x=3\cdot5\\x=15

Multiplication of both sides of an equality by the same number keeps the equality true, and we call this property the multiplication property of equality.

3 0
2 years ago
∠1 and ∠2 form a straight angle. ∠1 has a measure of 28°.<br> What is the measure of ∠2? PLZ HELP
Natalka [10]

Answer:

∠2 = 152

Step-by-step explanation:

A straight angle should always equal 180, and that is really the key to how we answer this problem. That means that ∠1 and ∠2 are supplementary, and add up to 180°.

That means that 180-28, will give us our other angle.

6 0
3 years ago
Read 2 more answers
Division A reports the following data: Sales = $180,000, Net income = $18,000, Average'assets
Karolina [17]

Company A is operating more efficiently

Step-by-step explanation:

Given parameters:

Division A:

Sales = $180,000

Net income = $18,000

Average assets = $72,000

Division B:

Sales = $60,000

Net income = $9,600

Average assets = $48,000

Unknown:

Division operating more efficiently = ?

Solution:

Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.

The net income is the profit derived from sales of a company's products.

The higher the value the more efficient a company is.

 Efficiency = \frac{net income}{Average assets} x 100

 Efficiency of division A = \frac{18000}{72000} x 100 = 25%

 Efficiency of division B = \frac{9600}{48000} x 100 = 20%

Division A has a higher efficiency compared to B

Learn more:

Economic goals brainly.com/question/8951463

#learnwithBrainly

3 0
2 years ago
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