Answers
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
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
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
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]
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
A. 21,120
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
Determine whether the function is linear or nonlinear. y−1/x=11 *
Answers
Answer:
vjhghjsbzkcbjhvdhmvh
Step-by-step explanation:
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
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
– 2y – 10 = x
- 10x - y = -14
Answers
Answer:
hey there guys ^^
Step-by-step explanation:
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
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
So 540/5 = 108 degrees
A single interior angle of a pentagon is 108 degrees
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)
PleSe please help powaseee
Answers
All triangles = 180°
So 120+26=146
180-146=34
Therefore all angles are the same for each triangle.
A new tablet was originally $180. It was on sale for 10% off the original price. The amount of the tablet after 10%
Answers
Answer:
$162
Step-by-step explanation:
10% of 180 is 18
180-18=162
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
I need you guys help on dis...like I don’t even know anymore.
Explain if you can please!!
Answers
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:
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]
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
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 $27.20 to get your answer
5x + 4y = 20 on a graph
Answers
Answer:
5x + 4y = 20 on a graph
Step-by-step explanation:
Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determine how many points, t, Tyler scored?
Answers
Answer:
[tex]t-223=409[/tex]
Step-by-step explanation:
Since Kiran scored 223 fewer points in a computer game than Tyler, Tyler's score can be represented as:
[tex]k+223=t[/tex], where [tex]t[/tex] is Tyler's score and [tex]k[/tex] is Kiran's score.
Since Kiran scored 409 points, we can set [tex]k=409[/tex]:
[tex]409+223=t[/tex].
Re-arranging this, we get:
[tex]\fbox{$t-223=409$}[/tex].
Answer:
h
Step-by-step explanation:
j
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.
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
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
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.
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
(-z-8)-(6z-5)
HELP FAST
Answers
what is the coefficient of y in 1 x 4 + 7y
Answers
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: