Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem

Which Reason Is Missing In Step 2?CPCTCdefinition Of Supplementary Anglestriangle Parts Relationship

Answers

Answer 1

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

What are Similar Triangles?

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

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Related Questions

A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice ​

Answers

The bag of rice is 30 kg and the bag of sugar is 10kg
30kg is 20kg more than 10kg
Then 10kg+50kg = 60kg
Which is twice the 30kg bad of rice

c/-5=17


pls help asap!!​

Answers

Answer:

c=-85

Step-by-step explanation:

17*-5=c

17*-5=-85

HELPPP PLEASE AAAAAAAAAAAAAAAAA

Answers

Answer:

The second option: 4 1/2 x = 22 1/2

Step-by-step explanation:

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Answer:

Answer:

The second option: 4 1/2 x = 22 1/2

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Step-by-step explanation:

In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.

How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
A
8 ounces

B
12 ounces

C
12.5 ounces

D
20 ounces

Answers

Answer:

12.5

Step-by-step explanation:

for people who don't get another  quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.

Ounces of yogurt need for 10 ounces of blueberries is 8 ounce

Given that;

Ratio of ounces of blueberries to ounces of yogurt = 4:5

Find:

Ounces of yogurt need for 10 ounces of blueberries

Computation:

Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]

Ounces of yogurt need for 10 ounces of blueberries = 2[4]

Ounces of yogurt need for 10 ounces of blueberries = 8 ounce

So, Option "A" is the correct answer to the following question.

Learn more:

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Plz help me I really need help

Answers

Answer:

it 2 parts away

Step-by-step explanation:

Answer:

(0,0)  (20, 10)  (40,10)   (60,40)  (100,0)

 A          B           C            D           E

Step-by-step explanation:

If Mrs. Bugarin has 30 oranges and 20 are rotten, what percent of oranges are not rotten?

Answers

Answer:

6 percent

Step-by-step explanation:

i believe this is the answer

Find the slope of the line that passes through (4, 2) and (1, 6).

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (4, 2)

Point (1, 6)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{6-2}{1-4}[/tex]Subtract:                       [tex]m=\frac{4}{-3}[/tex]Rewrite:                        [tex]m=\frac{-4}{3}[/tex]

What is a positive infinitesimal quantity?

Answers

Answer:

it is a number that is a infinite in its size (infintely big,infintely small, ect.)

Step-by-step explanation:

a great example of this is the number 0

I’ll give brainlest to the first one who answer the one my mouse is on it’s not that one!

Answers

Answer:

The answer is A

Step-by-step explanation:

At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza?

Answers

Answer:

There were 5 toppings on his pizza.

Step-by-step explanation:

From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:

c=17.50+2.35x, where:

c is the total cost

x is the number of toppings

Now, you can replace the total cost with $29.25 and solve for x:

29.25=17.50+2.35x

29.25-17.50=2.35x

11.75=2.35x

x=11.75/2.35

x=5

According to this, the answer is that there were 5 toppings on his pizza.

HELPPPPPPPPPPPP PLSSSSSS

Answers

Answer:

(x, y) → (x + 8, y - 3)

Step-by-step explanation:

To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.

Let's say we take the point D (0, -1).

(-1, 0) → (7, -3)

Change in x = 7-(-1)

                    = 7 + 1

                    = 8

Change in y = -3-0

                    = -3

Thus, the change is (x + 8, y - 3)

Help me I am going to dye I have bean on the same question for 20 min! Brooo I'm in 6th grade and don't know what multiply 6 and 42 using distributive property is OMG HELP ME

Answers

Answer:

6 * 42 = 6 * (20 + 22)

= (6 * 20) + (6 * 22) = 120 + 132 = 252

Step-by-step explanation:

Here, we want to multiply 6 by 42 using distributive property

In this case, we can have the distributive property as;

a * ( b + c) = ab + bc

Thus, we can represent 42 as (20 + 22)

so 6 * 42 becomes 6 * (20 + 22)

Using the distributive property, we have

(6 * 20) + (6 * 22)

= 120 + 132 = 252

Dhdgxgxgxg g g gg gxxgdgd

Answers

Answer:

B

Step-by-step explanation:

4:6 = 2:3

2:3 = 2:3

8:12 = 2:3

4:5 = 4:4

find the common ratio and explicit formula for 2, 3, 4.5, 6.75,

Answers

Step-by-step explanation:

r=3/2=(4.5)/3=3/2

it is geometric, so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=2 , r=3/2    

So  explicit formula:

a(n)=2*(3/2)^(n-1)

hope this helps

Answer: B

Step-by-step explanation:

on edge warm-up

What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?

Answers

Answer:

A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where:

(h,k) is a point through which the line passes.

The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.

Two perpendicular lines with slopes m1 and m2 satisfy the equation:

[tex]m_1m_2=-1[/tex]

We'll find the slope m1 of the given line and then solve the above equation for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]

Now we calculate the second slope:

[tex]\displaystyle m_2=-\frac{1}{2}[/tex]

We use the point-slope form, given the point (6,-7):

[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]

Operating the parentheses:

[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]

Simplifying:

[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]

A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]

A florist has 2,550 flowers to make into small bouquets. She wants 6 flowers in each bouquet.
How many bouquets can she make? You may find using Place Value Sections to solve the problem
helpful. Drag and drop each number into the correct box to complete the division.
425 flowers
6
2,550 A
30
-
2400
120
- 30
0
0
30
400
20
5
2400
425
150

Answers

Answer:

The answer is 425

Step-by-step explanation:

Place value would be...

400

20

5

or 400+20+5

Sorry I couldn't help too well!

Hope this helps!! Brainliest is appreciated!! Happy Holidays!!!

Can anyone give me a few reasons why school cafeteria food is bad

Answers

Answer:

the food is always bad

Step-by-step explanation:

and second they give you like not that much to eat anyways.

A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
0.706 ounces
0.768 ounces
7.06 ounces
7.68 ounces

Answers

Answer:

0.768 would be the amount of pretzels in ounces

Step-by-step explanation:

24% of 32 =0.768

how i got 24%?

24% of 100= 24

feel free to like and give brainliest

Answer:

D

Step-by-step explanation:

there is also a D is its not any just say none so i know its d pls dont joke ima get kicked out the class is i dont do good​

Answers

Answer:

b

Step-by-step explanation:

son

A store charges customers $85 for a video game. This is 170% of what the store paid for the game.

How much did the store pay for the game?

How much money does the store profit (make) off of the sale of a video game?

Answers

Answer:

100÷170×85=$50

85-50=$35

What is the slope of a line that is perpendicular to a line whose slope is -1/3.

Answers

Answer:

3

Step-by-step explanation:

the perpendicular slope is the negative reciprocal.

-1 divided by -1/3 = 3

9. Find the missing Angle, show your
work

Answers

Answer:

30 degrees

Step-by-step explanation:

Since a triangle's angle measures add up to 180, you need to set up an equation to find the missing side.

130+20+? = 180

150+?=180

180 minus 150 is 30 so the missing side is 30 degrees

Answer:

30 degrees

Step-by-step explanation:

All three angles in a triangle always add up to be 180 degrees.

Add 20 and 130 to get 150. Then, subtract 150 from 180 to get 30 degrees.

Can someone plss help

Answers

Answer:

it's answer is B. 9/100

A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.

Answers

Answer:

16

Step-by-step explanation:

its an ocosilse triangle cause of the 1 apat distance so 16 is the anser

Answer:

the 3rd angel is 120

the two exterior angels can be, 60 and 152

Step-by-step explanation:

the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.

the exterior angel is gained by adding two nonadjacent angles or the remote angels.

...........................

Answers

12.72 is the answer
Hope this helps

Please Help!!
Simplify the expression (-3i)(-4i)

Answers

Answer:

......................................................................................

Step-by-step explanation:

Answer:

i=-12

Step-by-step explanation:

A suitcase marked at $40 was sold at $32. What was the percentage of discount for the suitcase?

Answers

Answer:

Step-by-step explanation:

32/40

=0.8

so it's 20% off since it's a decay.

What is the x intercept for 6x - 7y = 42

Answers

Answer:

(7,0)

Step-by-step explanation:

Answer:

x = 7 (7,0)

Step-by-step explanation:

6x - 7y = 42

cancel out the y

6x -7 (0) = 42

6x = 42

divide both sides by 6

x = 7

Hope this helps!!!

What is -12.25 / (1.4)?
A. -13.65
B. -8.75
C. 8.75
D. 13.65

Answers

Answer:-8.75

Step-by-step explanation:

Answer:

C. -8.75

Step-by-step explanation:

Ultimately, you are dividing a negative number by a positive number which makes the answer negative.  The only way the answer can be positive if it's dividing by two negatives or two positives.  You can also assume that since the divider is greater than 1, it is usually less than the first number for this statement which makes your answer -8.75.

Mr. Yasger pays $174 every 4 months for guitar lessons. At this rate, how much will he pay for 3 years of guitar lessons? (Hint: How many months are in a year?)

Answers

There are 12 months in a year so if he pays every 4 months, he pays 3 times a year or $522 in total for a year (174 x 3 = 522). If he has pays that for three years it would be $1,566 (522 x 3).
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