Determine the measure of the interior angle at vertex E.

Part-A:-

[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]

[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]

[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]

Now

[tex]\\ \sf\longmapsto (f.g)(3)[/tex]

[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]

[tex]\\ \sf\longmapsto -72+144+560[/tex]

[tex]\\ \sf\longmapsto 72+560[/tex]

[tex]\\ \sf\longmapsto 632[/tex]

Part-B:-

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]

[tex]\\ \sf\longmapsto 9+9-70[/tex]

[tex]\\ \sf\longmapsto 18-70[/tex]

[tex]\\ \sf\longmapsto -52[/tex]

Now

[tex]\\ \sf\longmapsto g(f(3))[/tex]

[tex]\\ \sf\longmapsto g(-52)[/tex]

[tex]\\ \sf\longmapsto 4(-52-3)[/tex]

[tex]\\ \sf\longmapsto 4(-55)[/tex]

[tex]\\ \sf\longmapsto -220[/tex]

Part:-C

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto 4(-2-3)[/tex]

[tex]\\ \sf\longmapsto 4(-5)[/tex]

[tex]\\ \sf\longmapsto -20[/tex]

Now

[tex]\\ \sf\longmapsto f(g(-2))[/tex]

[tex]\\ \sf\longmapsto f(-20)[/tex]

[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]

[tex]\\ \sf\longmapsto 400-60-70[/tex]

[tex]\\ \sf\longmapsto 400-130[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Part-D:-

[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]

[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]

[tex]\\ \sf\longmapsto 32-96+560[/tex]

[tex]\\ \sf\longmapsto -64+560[/tex]

[tex]\\ \sf\longmapsto 496[/tex]

Step-by-step explanation:

RF (green) = 34/(12+14+34) = 34/60 = 0.57

Answer:

72 x 3/7 < 72

Step-by-step explanation:

72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.

I hope this helps you out :).

Answer:

8.7 ounces

Step-by-step explanation:

3*(29/10)=8.7

Answer: a =  - 1/5 or a = -0.2

Step-by-step explanation:

-9a – 10 – 6a + 7 = 0

>> -9a-6a = 10-7

>> -15a = 3

>> -15a/ - 15 =3 / - 15 ( divide by -15 both side)

>> a = - 1/5 or -0.2

Histograms are used to graph the frequency of data, where the length of the bar represents the frequency.

The number of students that drank the recommended amount of water are 125

Given that

[tex]Recommended = 40\ or\ more[/tex]

The number of students who drank the recommended amount are students whose frequency (i.e. length of bars) is 40 or more

From the histogram (see attachment), only 2 bars are above the frequency of 40.

And the number of students in these bars are: 50 and 75

[tex]Total =50 + 75[/tex]

[tex]Total =125[/tex]

Hence, the number of students that drank the recommended amount of water are 125

Read more about histograms at:

https://brainly.com/question/14421716

Answer:

hope it helps, appreciate if you can give brainliests

Answer:

Inequality form:

-11< x < -4

Interval Notation:

(-11, -4)

Answer:

I think the answer may be C or 15

Step-by-step explanation:

Every square is a mile, I found out because there are 13 miles to get to school and it is 13 squares to get to the destination. I counted 15 squares from home to the store (I think)

If I am wrong it could be D, nonetheless its not A or B

Step-by-step explanation:

I think that should be 13 because if you draw a line from home to school it indicates that home to school and grocery store to school it's an isosceles triangle because two opposite sides of the home to school and the school to the grocery store are equal

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

13

Step-by-step explanation:

2(x – 3) + 3y

Let x=5 and y = 3

2(5 – 3) + 3*3

Parentheses first

2(2) +3*3

Multiply

4+9

Add

13

Answer:

THE ANSWERE IS POINT B

And the scale factor is 2/6 I'm not so sure of this one :-[

Step-by-step explanation:

Please give me brainliest I did help you right?

Answer:

Step-by-step explanation:

hope it help u

Answer:

I believe its A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

since it goes red and then blue the next step in the pattern will be Blue.  Also since it started out with just a line w/arrow, the next blue one would comeout the back of the red one with a line.  Thats my guess at least.  But it most deffinetly has to be A or C becuase the next color is blue

Answer:

9

Step-by-step explanation:

30 - (9+4 x 3)

30 - (9 + 12)

30 - 21

= 9

Answer:

your answer is 8

hope this helped

Answer:

8

Step-by-step explanation:

|-7 - 1|

=> |-8|

=> 8

' | | ' represents absolute value

Absolute value of -ve number is +ve

Absolute value of +ve number is + ve

Answer:

f(x) = √x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6 is the highest number that goes in to both numbers

Answer:  907.9 in^2

Step-by-step explanation:

The square has sides of 34 inches each.  A circle drawn in the center and touching the edges would have a diamenter of 34 inches, and thus a radius of (34/2) = 17 inches.  The area of a circle is pi*r^2.  Area = 3.14*(17)^2.  

Area of the circle = 907.9 in^2  That is the material cut from the square.

Answer:

5!=120 ways

Step-by-step explanation:

1st colour 5 ways

2nd colour 4 ways

3rd colour 3 ways

4th colour 2 ways

5th colour 1 way

total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways

Answer:

7/18

Step-by-step explanation:

Area of ABED = 49

Side lengths are 7, its a square

Since AD = 7, and AG = 9, DG = 2

DE = 7 and 2 x 7 = 14

14 is the area of the small blue region.

AC = 10, and AB = 7, so BC = 3

CF = BE = 7

3 x 7 = 21

21 is the area of the big blue region.

21 + 14 = 35

Area of the whole shape is 9 * 10 = 90

35/90 = 7/18

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

i hope it helped U

stay safe stay happy

Answer:

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Answer:

Since it is a double negative, you add the two together. First, you must find the LCD though. Which is 10. So you multiply the left side by 2. This comes out to 18/10 - (-6/10) but since there's two negatives, you add them, so it's 18/10 + 6/10 = 24/10 = 12/5

Step-by-step explanation:

The answer is 12/5 (top is explaining how I got there.)

Answer:

12/5

Step-by-step explanation:

9/5 - (-6/10)

Subtracting a negative is like adding

9/5 + 6/10

Simplify 6/10 by dividing the top and bottom by 2

9/5 + 3/5

12/5

Answer:

y- - 6 = -2(x-4)

y+6 = -2(x-4)

Step-by-step explanation:

Answer:

57.5

Step-by-step explanation:

First you would have to multiply following PEMDAS so

(1/4)(2)

=0.5

Then subtract 58 and 0.5

58-0.5

=57.5

and thats your answer

Answer:

57.5 or 57 1/2

Step-by-step explanation:

1. Start with 1/4*2 due to the ”order of operation rules”. You then get 1/2.

2. Then, continue to do 58-1/2 to get 57.5 or 57 1/2

Answer:

[89]<100/:

Step-by-step explanation:

Step-by-step explanation:

[tex]( {x}^{2} - 3x - 5) \div (x - 4)[/tex]

write in fraction

[tex] \frac{ {x }^{2} - 3x - 5}{x - 4} [/tex]

Answer:

12:36

Step-by-step explanation:

2 + 6 = 8

48/8 = 6

6 * 2 = 12

6 * 6 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

C . 13

Step-by-step explanation:

9x - 16 = 7x + 10   (KL AND LM ARE SAME)

Transpose

9x - 7x = 10 +16

2x = 26

x = 26 ÷ 2

x = 13

Answer:

1.36

Step-by-step explanation:

9.52/7

1.36 is the length of one of the 7 equal pieces