FIND THE MEASURE OF ARC AD

Answer:

m∠1 = 147°

Step-by-step explanation:

(5x-2)° and ∠1 are supplementary to each other, which means they add up to 180°. However, we don't know the measure of ∠1. So, we need to solve for x to figure out angle (5x-2)°'s measure. Therefore:

(8x+1)°+(5x-2)°+90°=180°

8x+1+5x-2+90=180

13x+89=180

13x=91

x=7

This means the measure of angle (5x-2)° is 33°, making the measure of ∠1 equal to 147°.

Answer:

90 mph

Step-by-step explanation:

To get miles per hour ([tex]m/h[/tex]), we just need to divide. [tex]360/4[/tex] gives us [tex]90/1[/tex], meaning the train travelled 90 miles in one hour. This is the same as going 90 mph. Hope that explained things :)

Answer:

B

Step-by-step explanation:

(x+34)+(2x+2)=180

3x+36=180

3x=144

x=48

Answer:

4 sqrt(7)

Step-by-step explanation:

sqrt(112)

We know sqrt(a*b) = sqrt(a) sqrt(b)

Look for perfect squares

sqrt(16*7)

sqrt(16)sqrt(7)

4 sqrt(7)

Answer:

4√7

Step-by-step explanation:

√112

we know that ( a × b) = √a √ b

[tex] \small \sf \: \sqrt{16 \times 7} [/tex]

√16 × √7

4√7

Answer:

6 and 3

Step-by-step explanation:

6 · 3 = 18

6 + 3 = 9

Answer:

Solution given:

volume of pyramid =⅓area of base×height

=⅓*1*1*1=⅓=0.33yd³

the volume of the pyramid

0.33yd³

y = x ^2 /8

Vertex: ( 0 , 0 ) Focus: ( 0 , 2 ) Axis of Symmetry: x = 0 Directrix: y = − 2

Answer:

go and di

Step-by-step explanation:

radius stops halfway thru the shape

Answer:

(a) 12.3 x 45 = 554

(b) 6.7/8.9 = 0.753

Answer:

The maximum is at (1,3)

Step-by-step explanation:

The maximum value of the function is at the vertex

The maximum is at (1,3)

Max value of the given function = 3

Answer:

see below

Step-by-step explanation:

The steps are +2 then *4 then -8 then ÷2

Input  is 5

5 +2 =7 *4 = 28-8 = 20 ÷2 = 10     Output is 10

Input  is 9

9 +2 =11 *4 = 44-8 = 36 ÷2 = 18     Output is 18

Input  is 14

14 +2 =16 *4 = 64-8 = 56 ÷2 = 28     Output is 28

Input  is 18

18 +2 =20 *4 = 80-8 = 72 ÷2 = 36     Output is 36

Input  is 23

23 +2 =25 *4 = 100-8 = 92 ÷2 = 46     Output is 46

Input  is 7.5

7.5 +2 =9.5 *4 = 38-8 = 30 ÷2 = 20     Output is 20

Input  is 11.54

11.54 +2 =13.54 *4 = 54.16-8 = 46.16 ÷2 = 23.08     Output is 23.08

Answer:

Output:

5 + 2 x 4 - 8 ÷ 2 = 9

9 + 2 x 4 - 8 ÷ 2 = 13

14 + 2 x 4 - 8 ÷ 2 = 18

18 + 2 x 4 - 8 ÷ 2 = 22

23 + 2 x 4 - 8 ÷ 2 = 27

7.5 + 2 x 4 - 8 ÷ 2 = 11.5

11.54 + 2 x 4 - 8 ÷ 2 = 14.54

Answer:

x=3

Step-by-step explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3

Answer:

A. x = 3

Step-by-step explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

Answer:46

Step-by-step explanation:

Answer:

Step-by-step explanation:

take x degree as reference angle

using tan rule

tan x=opposite/adjacent

tan x=6/8

tan x=0.75

x=tan 37

x=37 degree

Answer: 47

Step-by-step explanation:kelskdkekdkekdkeksk

Answer: 26 and 31.5

Step-by-step explanation: it litterally shows it in the picture

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]

Answer: 3

Step-by-step explanation: you have to add then you have to subtract s

Answer:

AB ≈ 8.77

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{AB}[/tex] ( multiply both sides by AB

AB × sin20° = 3 ( divide both sides by sin20° )

AB = [tex]\frac{3}{sin20}[/tex] ≈ 8.77 ( to the nearest hundredth )

Step-by-step explanation:

D) 15

i hope this helps ...

Answer:

the right answer is 15.

Step-by-step explanation:

(6x-10)°+(6x+10)°=180°

or,6x°-10°+6x°+10°=180°

or,12x°=180°d

x=15°

Answer:

money earned = 110

Step-by-step explanation:

Money earned * percent saved = money saved

money earned * 30% = 33

Change to decimal form

money earned * .30 = 33

Divide each side by .3

money earned = 33/.3

money earned = 110

Answer:

(x - 9)(x + 2)

Step-by-step explanation:

x² - 7x - 18

x² + 2x - 9x - 18

x(x + 2) - 9(x + 2)

(x - 9)(x + 2)

Answer:

9.2

Step-by-step explanation:

Using the pythagoras therorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 _+ x^2

100 = 16 + x^2

x^2 = 100 - 16

x^2  = 84

x = √84

x = 9.2

Hence the value of x is 9.2

Answer:

Step-by-step explanation:

125=2x+17(being vertically opposite angle)

125-17=2x

108/2=x

54=x

Answer:

Step-by-step explanation:

Corresponging angles:

1 = 5

4 = 8

2 = 6

3 = 7

Alternate interior angles:

3 = 5

4 = 6

Alternate exterior angles

2 = 8

1 = 7

Supplementary angles

5+4 = 180°

6+3 = 180°

1 + 8 = 180°

2 + 7 = 180°