If DEF=GJH, find each missing measure

a) DF =

d) F =

b) JH =

|||

e) m&G =

c) GJ =

f) m =

I need help it’s due in 20 minutes:(

Answers

Answer 1

Congruent triangles have equal corresponding sides and angles.

The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]

The given parameters are:

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]

[tex]\mathbf{EF = 14m}[/tex]

[tex]\mathbf{D E = 19m}[/tex]

[tex]\mathbf{GH = 16m}[/tex]

[tex]\mathbf{\angle D = 34^o}[/tex]

[tex]\mathbf{\angle H = 105^o}[/tex]

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.

So, we have:

[tex]\mathbf{DF = GH}[/tex]

This gives

[tex]\mathbf{DF = 16m}[/tex]

Also, we have:

[tex]\mathbf{JH = EF}[/tex]

This gives

[tex]\mathbf{JH = 14m}[/tex]

Also, we have:

[tex]\mathbf{GJ = DE}[/tex]

This gives

[tex]\mathbf{GJ = 19m}[/tex]

The following angles are also congruent

[tex]\mathbf{\angle F = \angle H}[/tex]

This gives

[tex]\mathbf{\angle F = 105^o}[/tex]

Also, we have:

[tex]\mathbf{\angle G = \angle D}[/tex]

This gives

[tex]\mathbf{\angle G = 34^o}[/tex]

The measure of angle J is then calculated using

[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]

This gives

[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]

[tex]\mathbf{\angle J + 139= 180^o}[/tex]

Subtract 139 from both sides

[tex]\mathbf{\angle J = 41^o}[/tex]

Read more about congruent triangles at:

https://brainly.com/question/4364353

If DEF=GJH, Find Each Missing Measurea) DF =d) F =b) JH =|||e) M&G =c) GJ =f) M =I Need Help Its

Related Questions

Which of the following ordered pairs
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Answers

The ordered pairs  that make this equation true is (4, 10)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the linear equation: y = 10x - 30:

At (1, -12): y = 10(1) - 30 = -20 ≠ -12

At (8, 1): y = 10(8) - 30 = 50 ≠ 1

At (4, 10): y = 10(4) - 30 = 10

At (6, 20): y = 10(6) - 30 = 30 ≠ 20

The ordered pairs  that make this equation true is (4, 10)

Find out more at: https://brainly.com/question/13911928

What is a_50 of the arithmetic sequence 45, 40, 35, 30.

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Answer:

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Step-by-step explanation:

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Answer:

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

Step-by-step explanation:

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Step-by-step explanation:

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Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?

Answers

Mr. Smith needs to buy 56 sweets for the whole class to have two pieces of the sweets.

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

2x - 6 + 4x - 12 = 6x - 18

First, distribute the 4 and then combine the like terms to get 6x - 18.

Answer:

x=-2

Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.

(2x-6)+4(x-3)

(2x-6)+4x-12

Then we combine like terms.

(2x-6)+4x-12

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Finally we divide both sides by 6.

6x-18

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PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3

1- how much time will it take for elena to pay back all the money she borrowed

Answers

Answer:

Well according to the graph it took Elena 6 weeks to pay her brother back

Step-by-step explanation:

Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.

3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks

What is the value of x?


A hexagon (6 sides)

133°
112°

120°
128°
100°


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Answers

Answer:

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Answer:

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4) SSS Postulate

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Answers

Answer:

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Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
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Answers

From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.

The average rate of change of a function p(x) over an interval [a,b] is given by:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

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The average daily change in the share price from d = 5 to d = 20 is of 11.

A similar problem is given at https://brainly.com/question/20732437

Could you please help me
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Answers

Answer:

25.5 divided by 100 =255.Then 255-50+60 =255-110=145 therefore x=145

you are welcome

regards

reedemk

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Answer:

−  4    −  8

Step-by-step explanation:

The lines represented by the equations 4y + 4x = 8 and y - x = -2 are
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Answers

Answer:

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Answer:

286 2/3 km

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Answer:

See answer below

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(A fraction)

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The answer is B!

Tell me if you want me to explain!

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2. The width of a rectangle is 8 more inches than the length. The perimeter is 56 inches.
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Answers

Answer:

length=10inches

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Step-by-step explanation:

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Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.​

Answers

Solving the inequality, it is found that the correct interpretation of the solution is:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

The amount x of miles they can still travel is modeled by the following inequality:

[tex]221 + x \leq 304[/tex]

To solve it, we treat it similarly to an equality, hence:

[tex]x \leq 304 - 221[/tex]

[tex]x \leq 83[/tex]

Hence:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

A similar problem is given at https://brainly.com/question/11713066

The answer prior to this is WRONG. The correct answer is "at most 83" miles.

what is the answer??????​

Answers

Answer:

1) B. 1 1/32

2) A. 1.8

Solution:

2 3/4 as an improper fraction is 11/4.

2 2/3 as an improper fraction is 8/3.

11/4 ÷ 8/3

11/4 ÷ 3/8 (reciprocal method)

11/4 × 3/8 (change the operation to multiplication)

11/4 × 3/8 = 33/32 (multiply)

33/32 ⇒ 1 1/32 (simplify)

1 4/5 as an improper fraction is 9/5.

9/5 ⇒ 1.8

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Answer:

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Step-by-step explanation:

That is not rounded. Just straight, plain, 30 percent.

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