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Gala2k [10]
2 years ago
11

In isoceles triangle the length of a leg is 17cm, and the base is 16cm. Find the length of the altitude to the base

Mathematics
1 answer:
Elan Coil [88]2 years ago
6 0

This triangle has base 16 therefore the sides must be 17cm and 17 cm

When we make a altitude it divides it into two right triangles and there is a property in which the altitude of the isoceles triangle divides the base in 2 equal halves

So the side of the right triangle will be x , 8 , 17

Using pythgoreus theorem

x²+8²=17²

x = √225

x = 15

So the altitude is 15 cm

Must click thanks and mark brainliest

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Mumz [18]

Answer:

m = 9  

It means that you are multiplying each of the values inside the parentheses by 2.

Step-by-step explanation:

2(m + 2) = 22

2m + 4 = 22

2m + 4 - 4 = 22 - 4

2m = 18                           -Divide both sides by 2

m = 9


3 0
3 years ago
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What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
AveGali [126]

Answer: \text{Area of the square shaped traffic sign }=16x^2+9+24x

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

Area= side^2

Therefore, the area of the side of the square shaped field is given by:-

Area=(4x+3)^2

We know that , (a+b)^2=a^2+b^2+2ab

Therefore,

(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x

Hence, \text{Area of the square shaped traffic sign }=16x^2+9+24x

3 0
3 years ago
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14. Team 8A is selling snacks at the football game to raise money for a field trip. They are selling popcorn for $2.50 and pretz
Mamont248 [21]

Answer:

  • 40 popcorns and 90 pretzels sold.

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Let the number of popcorns is x and pretzels is y.

Set up equations:

  • x + y = 130
  • 2.5x + 2y = 280

Solve by elimination, multiply the first equation by 2 and subtract from the second equation:

  • 2.5x + 2y - 2x - 2y = 280 - 2*130
  • 0.5x = 280 - 260
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  • x = 20/0.5
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Find y:

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5 0
1 year ago
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A 5-pound bag of sugar costs $3.90. What is the unit rate?
Dimas [21]
0.78 per pound is unit rate

Since 5lbs is $3.90, 0.78 is the cost of one pound.

3.90 divided by 5 is 0.78
7 0
2 years ago
Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below:
Nataliya [291]

Answer:

90° clockwise rotation or 270° anticlockwise rotation

Step-by-step explanation:

(x,y)=(y,-x)

<em>E(-6,-4)=E'(-4,6)</em>

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<em>G(-2,-6)=G'(-6,2)</em>

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Therefore, E prime is (-4,6), F prime is (-4,4), G prime is (-6,2) and H prime is (-7,7).

4 0
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