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lisov135 [29]
3 years ago
6

What’s the length of IG

Mathematics
2 answers:
stira [4]3 years ago
6 0

Answer:

Therefore,

Length of IG is 16 units.

Step-by-step explanation:

Given:

ΔGHI

∠I ≅ ∠H

GH = 16

HI = 5

To Find:

IG = ?

Solution:

In ΔGHI

∠I ≅ ∠H          ..............Given

Base angles are equal.

∴  ΔGHI is an Isosceles Triangle  

∴ GH ≅ IG  .............Property of an Isosceles Triangle

But GH = 16    ...Given

∴ IG = 16 .........Transitive Property

Therefore,

Length of IG is 16 units.

lyudmila [28]3 years ago
4 0

Answer:

IG = 16 units

Step-by-step explanation:

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What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.
alukav5142 [94]

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

3 0
2 years ago
The chance of winning a big lottery prize is about 10^-8, and the chance of being struck by lightning in the u.s in any given ye
NISA [10]
10^-8 would be .000000001 I believe lightning would be the correct answer because .00000001 is bigger than 10^-8 hope this is correct 

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3 years ago
The braking distance, in feet of a car a Travling at v miles per hour is given.
irakobra [83]

The braking distance is the distance the car travels before coming to a stop after the brakes are applied

a. The braking distances are as follows;

  • The braking distance at 25 mph, is approximately <u>63.7 ft.</u>
  • The braking distance at 55 mph,  is approximately <u>298.35 ft.</u>
  • The braking distance at 85 mph,  is approximately <u>708.92 ft.</u>

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

Reason:

The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

25 mph = 36.66339 ft./s

D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.

At 25 mph, the braking distance is approximately <u>63.7 ft.</u>

At 55 mph, the braking distance is given as follows;

55 mph = 80.65945  ft.s

D = 2.6 + \dfrac{80.65945^2}{22} \approx 298.35 \ ft.

At 55 mph, the braking distance is approximately <u>298.35 ft.</u>

At 85 mph, the braking distance is given as follows;

85 mph = 124.6555 ft.s

D = 2.6 + \dfrac{124.6555^2}{22} \approx 708.92 \ ft.

At 85 mph, the braking distance is approximately <u>708.92 ft.</u>

b. The speed of the car when the braking distance is 450 feet is given as follows;

450 = 2.6 + \dfrac{v^2}{22}

v² = (450 - 2.6) × 22 = 9842.8

v = √(9842.2) ≈ 98.211 ft./s

The car was moving at v ≈ <u>98.211 ft./s</u>

Learn more here:

brainly.com/question/18591940

8 0
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Five less than half of a number in a equation
Sholpan [36]

It would be .5x-5= because it says 5 less so it would be subtract 5 from half of x.

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3 years ago
the surface area of a sphere is found using the formula SA=4πr^2 where r is the radius. if the surface area of a sphere is 144π
IgorC [24]
144= 4. 3.14.r²
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r= 3.38
7 0
3 years ago
Read 2 more answers
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