What is m∠N?

A. 19°
B. 68°
C. 95°
D. 112°

Answer:

BD = 12.1 (nearest tenth)

Step-by-step explanation:

∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.

BD divides ∆ABC into two equal parts.

Apply trigonometric ratio to find BD.

Reference angle = <BAD = 60°

Adjacent = AD = 7

Opposite = BD

Thus, we would have:

tan 60 = opp/adj

Tan 60 = BD/7

7*Tan 60 = BD

12.1 = BD

BD = 12.1 (nearest tenth)

Answer:

36/90 * 100 = p

(p is percent sold that were pastrami)

Step-by-step explanation:

First, 36/90 (part over whole), simplifies to 40/100. We can multiply that by 100 to get a percentage. And that is your equation.

Answer:

-2

Step-by-step explanation:

Here, we want to select a value that makes the expression wrong

The correct answer will be a negative number

Thus, we have it that;

2(-2) > 3(-2)

-4 > -6

Answer:

5X=90

Step-by-step explanation:

5x=90

5x=90

5    5

x=18

Answer:

4

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90°

∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )

Thus

∠ A and ∠ B are complementary angles

Answer: They are complementary

Step-by-step explanation: took the test on edge!

9514 1404 393

Answer:

  20.9 inches

Step-by-step explanation:

The perimeter length is the sum of the lengths of the two straight edges and that of the curved edge.

  P = r + r + rα . . . . . where α is the central angle in radians

35° is (35°/180°)π radians, about 0.6109 radians

Then the perimeter is ...

 P = r(2 +α) = (8 in)(2 +0.6109) ≈ 20.9 in

The perimeter of the slice is about 20.9 inches.

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

Answer:

90

Step-by-step explanation:

you add 15 each time

75+15=90

Answer:

105

Step-by-step explanation:

sequence number x 3 = S1

S1 x 5 = S2

21 x 5 = 105

Answer:

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

Answer:

1,000

Step-by-step explanation:

Answer: what is a and c

Step-by-step explanation:

We need a and c to solve for b.

Answer:

79

Step-by-step explanation:

Supplementary are angles that will add up to 180. So to find the missing angle we do 180 - 101 and get 79.

hope this helps (:

Answer:

the formula = y = mx+c,

if slope is -5 and y intercept is 8,

y = -5x+8

or

y= 8-5x

Answer:

what have we nothing to go buy

Answer:

y=(-4/3)x+2

Step-by-step explanation:

we have two points (3,-2) and (0,2)  given from the statement

the equation of the lines is:

y=mx+b

m=slope

m=(y2-y1)/(x2-x1)

m=(2-(-2))/(0-3)

so we have the slope is

m=4/-3  =-4/3  =-1.3333

we need to find "b"

using the point (0,2)

we have :

2=m*0+b

2=b

finally, we have  

the answer is y=(-4/3)x+2

Answer:

True , because all properties preserved under dilation from triangle abc to a'b'c'.

Step-by-step explanation:

Given : A triangle abc is dilated by a factor of 2/3 , result triangle a'b'c'

To find :After dilation,  properties of triangle abc and a'b'c' is true or false.

Solution:

          Dilation of a triangle are result either decrease or increase the corresponding length of triangle , its depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of triangle.here scale factor is 2/3 so corresponding sides of triangle a'b'c' decreases.

So, dilation of triangle are not congruent but similar to the original triangle abc

Therefore , basic properties of triangle preserved under dilation of triangle by a scale factor.

Answer:

true

Step-by-step explanation:

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The triangle is equilateral, so each side is equal to the others:

  5x = 3x +6

  2x = 6 . . . . . . . subtract 3x

  x = 3 . . . . . . . . divide by 2

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Answer:

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8

Answer:

16/35

Step-by-step explanation:

From the question we are given:

total number of cupcakes needed for the school dance = 140 cupcakes

Lucy made 35cupckes

JoJo made 42 cupcakes

Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes

Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes

Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140

Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35

Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35

Answer:

16/35

Step-by-step explanation:

Answer :

(1) The radius of a circle is 1.5 m.

(2) The diameter of a circle is 28 ft.

(3) The radius of a circle is 10 in.

(4) The circumference of circle is 47.14 m.

(5) The circumference of circle is 44 yd.

Step-by-step explanation :

Part 1:

Given: d = 3 m

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]

The radius of a circle is 1.5 m.

Part 2:

Given: r = 14 ft

Now we have to determine the diameter of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Diameter of a circle = [tex]Radius\times 2[/tex]

Diameter of a circle = [tex]14ft\times 2=28ft[/tex]

The diameter of a circle is 28 ft.

Part 3:

Given: d = 20 in

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]

The radius of a circle is 10 in.

Part 4:

Given: d = 15 m

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

where,

C = circumference

d = diameter

So,

[tex]C=\frac{22}{7}\times 15m[/tex]

[tex]C=47.14m[/tex]

The circumference of circle is 47.14 m.

Part 5:

Given: r = 7 yd

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

or we can write,

[tex]C=\pi (2\times r)[/tex]

where,

C = circumference

d = diameter

r = radius

So,

[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]

[tex]C=44yd[/tex]

The circumference of circle is 44 yd.

Answer:

[tex]consider \: triangle \: BDE \\m<BCD = m<BED \\ angles \: of \: triangle \: sum \: up \: to \: 180 ° \\ (14x + 4)° + 55° + 51° = 180° \\ 14x = 180° - (4 + 55 + 51)° \\ 14x = 70° \\ x = \frac{70}{14} \\ x = 5[/tex]

Answer:

x = 5

Step-by-step explanation:

all angles at corners in parallelogram must add to 360

bcd = 51 thus angle at opposite corner (bed) must also equal 51

adding = 51 + 51 = 102

angles at ebc and edc are also equal to each other

edf = 55 and cbf = 55

adding 55+55 = 110

360 - 110 - 102 = 148

divide by 2 for angles ebf and cfd

148/2 = 74

now solve

14x + 4 = 74

14x = 70

x = 5

Answer:102

Step-by-step explanation:

Answer:

Alicia's weekly income is $750

Step-by-step explanation:

ok so to find the weekly income we have to see which of this options gives $90 when you multiply by 12%.

0.12 x 1080 = 129  too high❌

0.12 x 780 = 93  close❌

0.12 x 102 = 12.24  too low❌

0.12 x 750 = 90  correct answer✅

Answer:

well 25x4=100 so multiply 23 by 4 and that would be 92 so you would have an A or 92%

Step-by-step explanation:

First, you want to find the unit rate, or how much Han earns per hour

You can do this by setting up an equation

x= amount earned per hour

4x= 33          Initial equation

4x/4 = 33/4   Isolating the variable

x = 33/4 = 8 1/4 = 8.25    The unit rate

Now you want to set up a new equation to find out how much he makes for 7 hours

x= amount earned per hour

y = total amount earned

y = 7x    Initial equation

y = 7 ( 8.25)   Substitution

y = 57.75  The answer

Han earns $57.75 for every 7 hours

Checking the answer....

y = 7x

57.75 = 7x    Substitute y instead

57.75/7 = 7x/7

8.25 = x

Your answer should be correct

Hope this helps!!!

Answer: See explanation

Step-by-step explanation:

The best player on a basketball team makes 95​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 95% × 40

= 95/100 × 40

= 0.95 × 40

= 38

The​ second-best player makes 90​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 90% × 40

= 90/100 × 40

= 0.90 × 40

= 36

The​ third-best player makes 80​% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:

= 80% × 40

= 80/100 × 40

= 0.80 × 40

= 32

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]

   = [tex]\sqrt{8^2+(y+3)^2}[/tex]

Given distance between points is 10, then

[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3