MATHEMATICS HIGH SCHOOL

Given ∠ABE = 45° and ∠EAB = 63° in ΔABE and∠MNP= 72° and ∠NMP = 63° in ΔMNP. Are the two triangles, ΔABE and ΔMNP similar? If so, by what criterion?A) yes, by AA criterion
B) yes, by SAS criterion
C) yes, by SSA criterion
D) no, not possible to tell.

Answers

Answer 1
Answer: A.) Yes, by AA criterion.

Triangle ABE have these angles: 
∠ABE = 45° ; ∠EAB = 63° ; missing ∠ is 72°

Triangle MNP have these angles:
∠MNP = 72° ; ∠NMP = 63°; missing ∠ is 45°

AA criterion is "angle,angle" criterion. It means that the two triangles have at least two of their angles equal. Since a triangle have a total of 180°, when two of their angles are equal, the 3rd angle is also equal.

As you can see, both triangles have 45°, 63°, and 72° measurement of angles. Thus, they are similar.

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Factor x2 + 11x + 24A. (x + 6)(x + 4)
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Factor 2m2 + 27m + 70

A. (2m + 7)(m + 10)
B. (m + 10)(2m + 7)
C. (2m + 3)(m + 20)
D. (2m + 7)(m – 10)

Factor g2 – 64

A. (g – 1)(g + 64)
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Factor 49t2 – 9

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The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field?

A. t – 9
B. t – 5

Answers

Hello,

1) x²+11x+24=x²+8x+3x+24=x(x+8)+3(x+8)=(x+8)(x+3) ANSWER C

2)2m²+27m+70=2m²+20m+7m+70=2m(m+10)+7(m+10)
=(m+10)(2m+7) ANSWER A

3)g²-64=(g-8)(g+8) ANSWER B

4) 49t²-9=(7t-3)(7t+3) answer C

5)
t²-4t-45=t²+5t-9t-45=t(t+5)-9(t+5)=(t+5)(t-9)

l=t+5
==>w=t-9
answer A

Given : diagramStatements
1. Angle 1 & angle 2 form a linear pair
2. Angle 1 is supplementary to angle 2

State the two reasons.



I really don't understand this question and I have a test tomorrow

Answers

So a supplementary pair of angles would combine to form 180 degrees on the same line however linear pairs are two separate angles that don't have to be touching to form 180 degrees if combined. So it's like all linear pairs are supplementary angles but not all supplementary angles.

Write the ratio in its simplest form using the colon. 24 blue cars out of 48 cars.

Answers

Answer:

1:2

Step-by-step explanation:

24 : 48 simplified is 1 : 2

A science class planted a tree in the school courtyard that was 6 inches tall. It is growing 4 inches eachweek. Write a function rule for the height, h, of the tree based on the weeks, w, since it was planted.
(1 point)
h = 6w + 4
h = 4w + 6
h = 4w
h = 4w – 6

Answers

h = 6 + 4*weak

.,.,.,.,

In a classroom,1/6 of the students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students in the class.How many students are wearing a shirt other than a blue or white?

Answers

Total number of students in the class = 36
Number of students wearing blue shirts = (1/6) * 36
                                                                 = 36/6
                                                                 = 6
Number of students wearing white shirts = (2/3) * 36
                                                                  = 2 * 12
                                                                  = 24
Then
Number of students not wearing blue or white shirts in the class = 36 - (6 + 24)
                                                                                                        = 36 - 30
                                                                                                        = 6
So 6 students in the class are wearing a shirt other than a blue or a white shirt. I hope the procedure is clear enough for you to understand.

6 students

Further explanation

Given:

In a classroom,

  • ¹/₆ of the students are wearing blue shirts, and
  • ²/₃ are wearing white shirts.

There are 36 students in the class.

Question:

How many students are wearing a shirt other than a blue or white?

The Process:

Let us calculate the number of students who are wearing blue shirts and white shirts.

Blue shirts:

\boxed{ \ = (1)/(6) * 36 \ students \ }

\boxed{\boxed{ \ 6 \students \ }}

White shirts:

\boxed{ \ = (2)/(3) * 36 \ students \ }

We cross out 36 and 3 because they both can be divided.

\boxed{ \ = (2)/(1) * 12 \ students \ }

\boxed{\boxed{ \ 24 \ students \ }}

And now, we will find out how many students are wearing a shirt other than blue or white.

\boxed{ \ = 36 - 6 - 24 \ }

\boxed{\boxed{ \ 6 \students \ }}

- - - - - - - - - -

Quick Steps:

Step-1:prepare a proportion of students who wear a shirt other than blue and white

\boxed{ \ = 1 - (1)/(6) - (2)/(3) \ }

\boxed{ \ = (6)/(6) - (1)/(6) - (4)/(6) \ }

\boxed{\boxed{ \ (1)/(6) \ }}

Step-2: calculate how many students who wear a shirt other than blue and white

\boxed{ \ = (1)/(6) * 36 \ students \ }

\boxed{\boxed{ \ 6 \students \ }}

Learn more

  1. What is the area of the whole mosaic in square inches? brainly.com/question/982984
  2. What fraction of the box is left (Kim and Courtney)? brainly.com/question/37157
  3. What is the amount of apple juice in each bottle? brainly.com/question/5798698

Keywords: in  a classroom, 1/6 of the students, wearing blue shirts, 2/3, white shirts, there are 36 students, in the class, how many students, other than a blue or white, proportion

!!!!!!!!!! help me Find the  Angle   !!!! Help me solve this question very confused ! !!thank you

Answers

Angle 2 would also equal 75 degrees because it corresponds to angle 6 when lines are parallel.
I would say about 75 degrees I am not sure
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