Can someone help me it’s due today . I will gratefully appreciate your help !

Answer:

Step-by-step explanation:

From the picture attached,

Given:

GH║KL and J is the midpoint of HK.

To Prove:

ΔGHJ ≅ ΔLKJ

       Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

    Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

We have to prove the statement, ∠GHJ = ∠LKJ

Given; GH || KL, J is the midpoint of HK.

To prove; ∠GHJ = ∠LKJ

Given; J is the midpoint of HK,

By definition midpoint of a segment,

The midpoint is the middle part of the line segment J, it is equidistant from both endpoints it is the centroid of the segment of the endpoints.

JH ≅ HK

Then, by the property of alternate interior angles,

∠JKL≅ ∠JKH

Therefore, by the property of vertically opposite angles,

When two lines intersect they form four angles. Vertical angles are the angles that are opposite to each other. Any two intersecting lines form two pairs of vertical angles that are opposite to each other.

∠GJH ≅ KJL

By ASA congruence theorem,

When two triangles are congruent to each other - If two angles and the involved side of one triangle is equivalent to the two angles and the included side of the other triangle.

ΔGHJ ≅ ΔLKJ

Hence Proved.

For more details refer to the link.

https://brainly.com/question/1751208

Answer:

Isosceles Triangle Theorem

Step-by-step explanation:

An isosceles triangle is a tringle that has a pair of congruent sides and a pair of congruent angles. If the triangle has two congruent angles its isosceles. So therefore, you would use the Isosceles Triangle Theorem.

The Isosceles triangle theorem is used to determine if the base angles of a triangle are congruent.

"The angles that have the base as one of the side of triangle. "

"It is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure."

For given question,

We need to find the theorem that is used to determine if the base angles of a triangle are congruent.

We know that the Isosceles triangle theorem states that 'If two sides of a triangle are congruent, then angles opposite those sides are congruent.'

In isosceles triangle any two sides of the triangle are equal in length.

If we draw the angle bisector for an angle between two equal sides, then we get two triangles.

Then by SAS congruence postulates we can prove that both the triangles  are congruent and so the base angles of a triangle are congruent.

Therefore, an Isosceles triangle theorem is used to determine if the base angles of a triangle are congruent.

Learn more about  Isosceles triangle theorem here:

https://brainly.com/question/16888071

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Answer:

1000 grams of fish= 1500 calories

1334 grams of fish= 2001 calories

1 gram of fish= 1.5 calories

Answer:

1/4 x

Step-by-step explanation:

from 1 to 3 is 2, and from 2 to 6 is 4

2/4 simplifies to 1/2

can i get brainliest please?

Answer:

the answer is  0.21

Step-by-step explanation:

because 6+1+4+10=21 remember this

Answer:

Deal A is best

Step-by-step explanation:

Given

Deal A:

3/4 lb for $2.50

Deal B:

2/10 lb for $5.25

Required

Which deal is the better

To do this, we simply calculate the lb/dollar ratio

i.e.

[tex]Ratio = \frac{Amount}{Size}[/tex]

For Deal A:

[tex]Ratio = \$2.50/\frac{3}{4}lb[/tex]

[tex]Ratio = \$2.50 * \frac{4}{3}lb[/tex]

[tex]Ratio = \frac{\$10}{3}lb[/tex]

[tex]Ratio = \$3.33/lb[/tex]

For Deal B:

[tex]Ratio = \$5.25/\frac{2}{10}lb[/tex]

[tex]Ratio = \$5.25 * \frac{10}{2}lb[/tex]

[tex]Ratio = \frac{52.5}{2}lb[/tex]

[tex]Ratio = \$26.25/lb[/tex]

The better deal is the least expensive:

Hence: Deal A is better

Answer:

The equation is y = [tex]-\frac{4}{3}[/tex] x + 3

Step-by-step explanation:

The form of the equation is y = m x + b, where

∵ The slope of the line is [tex]-\frac{4}{3}[/tex]

∴ m = [tex]-\frac{4}{3}[/tex]

→ Substitute it in the form of the equation above

∴ y =  [tex]-\frac{4}{3}[/tex] x + b

∵ The y-intercept = 3

∴ b = 3

→ Substitute it in the equation above

∴ y = [tex]-\frac{4}{3}[/tex] x + 3

∴ The equation is y = [tex]-\frac{4}{3}[/tex] x + 3

Answer:

1.6 × 2.20=3.52

Step-by-step explanation:

Multiplying to get your answer.

Answer:

The width is 2.5 inches

Step-by-step explanation:

Here, we want to state the width of the deck in the drawing given the scale for the actual scale to the scale drawing.

The given ratio is 7 ft to 1 in

Now we will have 17.5 to x in

x * 7 = 17.5 * 1

7x = 17.5

x = 17.5/7

x = 2.5 inches

Answer: c = 5n

Step-by-step explanation:

Cost of movie ticket = $5 per person

Number of people attending the movie = n

The total cost c, will be the multiplication of the cost of movie ticket per person by the total.number of people attending the movie. This will be:

c = 5 × n

c = 5n

Answer:

90

Step-by-step explanation:

5*-9=-45

-45*-2=90

Answer:

90

Step-by-step explanation:

Let's solve this step by step:

(5) · (-9) · (-2)

First, there are two negatives in this equation. They will cancel each other out, to simply make 9 · 2:

5 · 9 · 2 =

Now, we do the multiplication:

5 · 9 · 2 = 45 · 2 = 90

90 is the answer!

Answer:

y = 2x - 3

Step-by-step explanation:

Since the line needs to be parallel, you can take the slope of the other equation and input it into y = mx + b:

y = 2x + b

Next, to have it intercept at the given coordinates, input the coordinates into the equation and solve for b:

-1 = 2 ( 1 ) + b

-1 = 2 + b

-1 - 2 = b

-3 = b

Now input the "b" value into the equation and you have the answer:

y = 2x - 3

Answer:

10 inches

Step-by-step explanation:

Answer:

x=2 y= negative6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

0 ≤ x ≤ 5

Step-by-step explanation:

I used the Desmos calculator

Answer: 10x+14

Step-by-step explanation: In a equation like this one you just add like terms. So 10 and 4 are added and make 14. Since there are no like terms for 10x then you just leave it be.

Answer:

4

Step-by-step explanation:

Answer:   y=-2/3x-5

Step-by-step explanation:

Answer:

125,000

Step-by-step explanation:

Given that :

Sequence of three numbers chosen from 0 to 49 inclusive

Since numbers can be repeated ; hence numbers do not have to be different ;

Number of digits between (0 - 49 inclusive) = 50 digits.

Thus, there are equal number of possible choices for each of the three numbers, which is equal to the Number of digits :

1st number = 50

2nd = 50

3rd = 50

Hence,

(50³). = 50 * 50 * 50 = 125,000

Answer:

4/3

sorry if its wrong. i tried

Answer:

yes

Step-by-step explanation:

Answer:

1,2,4,8 GCF=8

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

math and stuff like that

Answer:

the answer is -71

Step-by-step explanation:

because if you do the math 9+10-100+10=-71

Answer:

x= -2

Step-by-step explanation:

5x -2 = -10+45=35

Answer:

The only way it could work is if there was a -2

Step-by-step explanation:

Answer: $4

Step-by-step explanation:

25-5=20. 20/5=4

Answer:

4

Step-by-step explanation:

25-5=20 if you can get 5 out of 20 which you can will equal 4 if you divided it

Answer:

10.7 cm

Step-by-step explanation:

A= bh

[tex]\sqrt{115}[/tex] = 10.7 cm

Step-by-step explanation:

x2+15x-23=0

17x-23=0

so a=0 , b=17 & c= -23

and complete it on the calculator

first click 9 ,3 ,=&=

and click mode 5,3

Answer:

they are similar because they both are equilateral triangles  

Step-by-step explanation:

they are both equilateral triangles because there sides added together equal 60 degrees, but they are not congruent because to be congruent they need to be the same shape AND size

hope this helps :)

- may i get brainliest