Given that GJ=70.2, JH=26, and GK=70.2, find the measure of JK

Given That GJ=70.2, JH=26, And GK=70.2, Find The Measure Of JK

Answers

Answer 1

Answer:

52

Step-by-step explanation:

The two sides (GJ and GK) are congruent, and the angle of ∠GHJ is 90°.

It means JH ≅ HK.

JH = 26 so you multiply 2.

26 x 2 = 52

JK = 52

Answer 2

The measure of the side JK is 52 units if the GJ=70.2, JH=26, and GK=70.2 after applying the Pythagoras theorem.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

GJ=70.2, JH=26, and GK=70.2,

In the right angle triangle JHG:

GH = √(GJ² - JH²)

GH = √(70.2² - 26²)

GH = 65.20

Similarly, applying Pythagoras' theorem in the triangle GHK:

HK = √(GK² - GH²)

HK = √(70.2² - 65.20²)

HK = 26.01

JK = JH + HK

JK = 26 + 26.01

JK = 52.01 = 52

Thus, the measure of the side JK is 52 units if the GJ=70.2, JH=26, and GK=70.2 after applying the Pythagoras theorem.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ2


Related Questions

The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2

Answers

Answer:

A. [tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]

Step-by-step explanation:

Given, slope formula = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

To find an equivalent equation, let's make [tex] y_1 [/tex] the subject of the formula.

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Cross multiply

[tex] 1(y_2 - y_1) = m(x_2 -x_1) [/tex]

[tex] y_2 - y_1 = m(x_2 - x_1) [/tex]

Subtract [tex] y_2 [/tex] from both sides

[tex] y_2 - y_1 - y_2 = m(x_2 -x_1) - y_2 [/tex]

[tex] - y_1 = m(x_2 - x_1) - y_2 [/tex]

Divide both sides by -1

[tex] \frac{- y_1}{-1} = \frac{m(x_2 -x_1) - y_2}{-1} [/tex]

[tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]

I need you guys help on dis...like I don’t even know anymore.

Explain if you can please!!

Answers

Jus Use a Caculater bro

what is the coefficient of y in 1 x 4 + 7y

Answers

Answer: The coefficient, which in this case is the numerical coefficient, is 7. Hope this helps (:
The coefficient would be 7. The coefficient means the number before a variable. In this case the variable is Y and the number before it is 7. Hope this helps, please mark brainlist?

Match the angle in parallelogram WXYZ with a congruent one
∠XWZ

Answers

Step-by-step explanation:

Opposite angles in a parallelogram are congruent.

Therefore Angle XWZ = Angle XYZ. (D)

Answer:

D)XYZ

Step-by-step explanation:

I am pretty sure that's the answer

Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?

Answers

Answer:

Emily is going to spend $285

Step-by-step explanation:

You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.

Find the value(s) of the variable(s). Write your answer(s) in simplest radical form.

Answers

Answer:

Step-by-step explanation:

12). By applying Pythagoras theorem in the given right triangle,

      Hypotenuse² = (Leg 1)² + (Leg 2)²

      x² = 7² + 7²

      x² = 2(7)²

      x = [tex]\sqrt{2(7)^{2} }[/tex]

      x = [tex]7\sqrt{2}[/tex]

13). By sine rule,

      sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]\frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}[/tex]

      y = [tex]\frac{18\sqrt{3} }{\sqrt{3} }[/tex]

      y = 18

      By cosine rule,

      cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

      [tex]\frac{1}{2}=\frac{x}{y}[/tex]

      x = [tex]\frac{y}{2}[/tex]

      x = [tex]\frac{18}{2}=9[/tex]

14). By applying Pythagoras theorem in the given right triangle,

      12² = x² + x²

      144 = 2x²

      72 = x²

      x = √72

      x = 6√2

5x + 4y = 20 on a graph

Answers

Answer:

5x + 4y = 20 on a graph

Step-by-step explanation:

discover the pattern and continue 1,2,4,7,11,16,_,_,,_,_

Answers

Answer:

Step-by-step explanation

To go from 1 to 2, you add one. To go from 2 to 4 you add two. To go from 4 to 7, you add three. Then you add 4. Then you add 5 and so on.

b)
Work out the size of one interior angle.
NEED HELP WITH B
thanks everyone

Answers

Sum of interior angles of a pentagon = 540 degrees

So 540/5 = 108 degrees
A single interior angle of a pentagon is 108 degrees

(-z-8)-(6z-5)
HELP FAST

Answers

A is your answer -7z-3

She ran 52.16 seconds per 400 meters, how fast was she running in meters per hour?

Answers

Answer:

27607.36 meters per hour

Step-by-step explanation:

400/52.16 = 7.66871165644

7.66871165644 meters per second

7.66871165644 × 60 = 460.122699386 meters per minute

460.122699386 * 60 = 27607.3619632 meters per hour

27607.3619632 meters per hour

Determine whether the function is linear or nonlinear. y−1/x=11 *

Answers

Answer:

vjhghjsbzkcbjhvdhmvh

Step-by-step explanation:

Model the unknown number problem by writing in algebraic expression. Jonas shared a bag of trail mix equally with 10 of his teammates. T-11 t/11 11t t+11

Answers

Answer: its t over 11. T/11

Step-by-step explanation:

I took the assignment

Answer:

b

Step-by-step explanation:

What is 2i-3=2(6-i)+7i as a fraction or decimal or whole number

Answers

Answer:

i = - 5

Step-by-step explanation:

Given

2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side

2i - 3 = 12 - 2i + 7i

2i - 3 = 12 + 5i ( subtract 5i from both sides )

- 3i - 3 = 12 ( add 3 to both sides )

- 3i = 15 ( divide both sides by - 3 )

i = - 5

For the function w, w(3) = -2 and w(-2) = 8. If y = w(x), what is the value of y when
x = -2?

Answers

Answer:

6

Step-by-step explanation:

i took the test on edge

What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?

Answers

Answer:

(-6,0.5)

Step-by-step explanation:

(-9 + -3)÷2= -6

(-4 + 5)÷2=0.5

(-6,0.5)

– 2y – 10 = x
- 10x - y = -14

Answers

Answer:

hey there guys ^^

Step-by-step explanation:

Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.

Write an equation to find the number of overtime hours she worked on the second day, x.

Answers

Answer:

146.25 divided by 2

Step-by-step explanation:

what happens to the value of the expression 80_h as h increases from a small positive number to a large positive number​

Answers

Answer:

It decreases

Step-by-step explanation:

Hope you don't need an explanation, it decreases is the real answer.

convert 4 miles to feet
A. 21,120
B. 21,000
C. 22,000
D. 20,210

Answers

Answer: A. 21,120

Step-by-step explanation: Good luck! :D

The correct answer is A
A. 21,120

PleSe please help powaseee

Answers

Yes, similar
All triangles = 180°
So 120+26=146
180-146=34
Therefore all angles are the same for each triangle.


Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?

Answers

Model B is wider Bc it’s 7.25 ft

Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determine how many points, t, Tyler scored?​

Answers

Answer:

[tex]t-223=409[/tex]

Step-by-step explanation:

Since Kiran scored 223 fewer points in a computer game than Tyler, Tyler's score can be represented as:

[tex]k+223=t[/tex], where [tex]t[/tex] is Tyler's score and [tex]k[/tex] is Kiran's score.

Since Kiran scored 409 points, we can set [tex]k=409[/tex]:

[tex]409+223=t[/tex].

Re-arranging this, we get:

[tex]\fbox{$t-223=409$}[/tex].

Answer:

h

Step-by-step explanation:

j

On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it and then person B walks up shortly after and picks another novel?

Answers

On a shelf there are 60 novels and 20 poetry books. Person A chooses a book at random off the shelf and leaves with it. Shortly after, Person B chooses another book at random. Calculate: 1)The probability that the book selected by Person B is a novel? = A picks a novel and B picks a novel OR A picks poetry and B picks novel =( 60/80*59/79) + ( 20/80* 60/59) = 0.75 2)

Please help! Please show work.

Answers

Answer:

c is the correct option

Step-by-step explanation:

6*2/3=4

20 divided by 2/3=30

Lee read 1/6 of book on monday and another 1/3 of it on tuesday ,he took another 4 days to finish reading the book he read the same number of pages on each of the days ,what fraction of the book did he read on each of these days?

Answers

Answer:

1/8

Step-by-step explanation:

Let

The total fraction of the book read = 1

The remaining 4 days be represented as= x

Hence:

1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days

1 = 1/6+ 1/3 + x

x = 1 - (1/6+ 1/3)

x = 1 - (1 + 2/6)

x = 1 - (3/6)

x = 1 - 1/2

x = 1/2

The fraction of the book read in 4 days = 1/2

To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:

1/2 ÷ 4 days

= 1/2 × 1/4

= 1/8

Therefore, the fraction of the book that was read on each of the 4 days is 1/8

Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.​

Answers

Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

       10y + 10   = 60

                  10y = 60 - 10

                 10y = 50

                    y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

HOPE THIS HELPS YOU

MARK AS BRAINLIEST

6. The diameter of a circle is 9 feet. What is the measure of its circumference? Round to the nearest tenth.
A. 28.3 ft

B. 63.6 ft

C. 4.5 ft

D. 14.1 ft

Answers

Answer:

A.

[tex]C= 28.3 \ \ feet[/tex]

Step-by-step explanation:

Formula for Circumference is

[tex]C=2\pi r[/tex]

We know radius is half of diameter

[tex]r=\frac{d}{2} \\r=\frac{9}{2}[/tex]

[tex]C=2(3.14)\frac{9}{2}[/tex]

[tex]C=(3.14)9\\C=28.3 feet[/tex]

A new tablet was originally $180. It was on sale for 10% off the original price. The amount of the tablet after 10%

Answers

So first, find 10% of 180. 10% of 180 is 180/10 which is 18. Take £18 away from £180 which is £162. The price of the tablet after 10% is £162

Answer:

$162

Step-by-step explanation:

10% of 180 is 18

180-18=162

At a restaurant your bill is $32. You have a coupon for 15% off. You are in Idaho and they charge you 7% tax. (Discount before tax) What is the final cost of your meal after your discount and with tax included? Round to the nearest cent.

Answers

Answer:

the answer is 25.30

Step-by-step explanation:

1. first you subtract the 15% from the bill that comes out to $27.20

2. next subtract the 7% tax from the $27.20 to get your answer

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