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inessss [21]
4 years ago
7

Given triangle MNP is isosceles and the two base angles are 6yº and (8y - 16)º. What is the measure of each base angle? (Hint: S

ketch and label the triangle first.)
Mathematics
1 answer:
zvonat [6]4 years ago
7 0
Two angles are equals.

Suppose they are 6y.

Then 6y + 6y + 8y - 16 = 180
20y = 180 +16
20y = 196
y = 9.8

Then one base angle is 6*9.8 = 58.8°

And the other base angle is 8(9.8) - 16 = 62.4.

Now suppose that the two equal angles are 8 y -16

Then 8y -1 6 + 8y - 16 + 6y = 180

Then 16y - 32 = 180

16y = 180 + 32
16y = 212
y = 13.25

One angle is 6(13.25) = 79.5

And the other is 8(13.25) - 16 = 90

This last solution is imposible.

So the answer is 58.8 and 62.4

 
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elixir [45]

Answer:

-1.000/200 = 5

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6 0
4 years ago
I will post more questions but this is the first
Strike441 [17]

Answer:

20in²

Step-by-step explanation:

The area of a triangle is calculated using the formula A = bh/2

"A" means area.

"b" is for the base.

"h" is for the height.

It does not matter which is the base and which is the height, as long as they are perpendicular (at 90°) to each other.

5in can be the height.

8in can be the base.

Put the base and height measurements into the formula.

A = bh/2

A = (8in)(5in)/2    Multiply the measurements and the units.

A = (40in²)/2   Divide by 2

A = 20in²       Area of the triangle

When you multiply units, in X in becomes in².

"in" has the exponents 1. When you multiply two "in" with exponent 1, you add the exponents. 1 + 2 = 2.

in¹ X in¹ = in¹⁺¹ = in²

5 0
3 years ago
Read 2 more answers
Identify the radius and center.<br><br><br> x^2 + y^2 + 2x + 4y + 1 = 0
melamori03 [73]

Answer:

Center:-1,-2

Radius: 2

Step-by-step explanation:

Ok, get the form of a circle from this equation-

(x+2)^2+(y+2)^2=4

Since this is the form of a circle, I can figure out the center and the radius from here,

r=2

h=-1

k=-2

Center:-1,-2

Radius: 2

6 0
3 years ago
The number of bones in a weightlifter's foot is 26 how many bones are there in the feet of 26 weightlifters
blsea [12.9K]

Answer:

1352 bones

Step-by-step explanation:

There are 26 bones in 1 foot

There are 2 feet per weightlifter

So each person has 2*26 = 52 bones in their feet

If we have 26 weightlifters, they have 52 bones in their feet.

26*52 = 1352 bones for 26 weightlifters for both feet

4 0
4 years ago
Read 2 more answers
What is the value of the expression
Levart [38]

Answer:

\boxed{\sf -2}

Step-by-step explanation:

\sf Evaluate \:  -  {x}^{2}  - 4x - 6 \:  where \:  x =  - 2: \\  \sf \implies  -  {x}^{2}  - 4x - 6 =  -  {( - 2)}^{2}  - 4( - 2) - 6 \\  \\  \sf  {( - 2)}^{2}  = 4 :  \\  \sf \implies  -  \boxed{ \sf 4} - 4( - 2) - 6 \\  \\  \sf - 4( - 2) = 8 :  \\  \sf \implies  - 4 +  \boxed{ \sf 8} - 6 \\  \\  \sf  - 4 + 8 - 6 = 8 - (4 + 6) :  \\  \sf \implies 8 - (4 + 6) \\  \\  \sf 4 + 6 = 10 :  \\  \sf \implies 8 -  \boxed{ \sf 10} \\   \\  \sf \implies -  2

5 0
4 years ago
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