In the picture below A II b and m<23
angle measures
112°. Find the remaining

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

From calculation, length BC can be found by the formula;

[tex]BC=\sqrt{a^2+b^2-2*a*b*cosA}[/tex]------where a=b=4 in , cos A = cos 60°

[tex]BC=\sqrt{4^2+4^2-2*4*4*cos60}[/tex]

BC = 4 in

Answer:

bc = 4

Step-by-step explanation:

Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

Answer:

#1:  A

#2:  2

I apologize if its wrong

Answer: A, 5

Explanation:

Simply create an slope-intercept equation using the given information. The initial fee is $5, which is the y-intercept and $2.75 every stop, which is our slope. The equation is y = 2.75x+5. Since this is an inequality and she's looking for the most amount of stops she can take before maximizing her budget, it needs to be a less than or equal to sign. Change the equation to be 5+2.75S≤21. Subtract 5 from both sides to get 2.75S≤16. Divide 2.75 to both sides to get S≤5.82. This would be estimated to around 5 stops, which would be the largest amount of stops.

Answer:

Cost of each individual book = $10.5

Step-by-step explanation:

Given:

Cost of 3 book set = $24.81

Amount save = $6.69

Find:

Cost of each individual book

Computation:

Assume:

Cost of each individual book = a

Total cost = 3a

So,

Total cost = $24.81 + $6.69

Total cost = $31.5

So,

3a = $31.5

a = $10.5

Cost of each individual book = $10.5

Answer:

4.7

Step-by-step explanation:

Given equation y=4.7x

constants of proportionality = y/x

so, y/x = 4.7

therefore, answer is 4.7

Answer:

The slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Step-by-step explanation:

From the line equation, let us take two points

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]

[tex]m=\frac{1-2}{4-0}[/tex]

[tex]m=-\frac{1}{4}[/tex]

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

[tex]-\frac{1}{-\frac{1}{4}}=4[/tex]

Thus, the slope of a line that is perpendicular to the line

shown in the graph is = 4

Hence, option 'd' is true.

Answer: x=2y=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the equation into mx+b format.

y=-1/2x + 6

Then, graph the line using the slope and y-intercept.

Answer:

a letter or a word of any kind

Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form

Step-by-step explanation:

Answer:

They will never cost the same.

Step-by-step explanation:

Answer:

2.5x +13.6 = 2x +14.6 (set them equal to each other and subtract 2x from both sides)

0.5x +13.6 = 14.6 (subtract 13.6 from both sides)

0.5x = 1 (divide both sides by 0.5)

x= 2

at two toppings they will cost the same

Step-by-step explanation:

Answer:

[tex]x=\frac{7}{2}[/tex]

Step-by-step explanation:

Step-by-step on how to solve it is in the image below.

Hope this helps! :)

Answer:

hi here is answers

Step-by-step explanation:

Exact Form:  x = 7/2

Decimal Form: x = 3.5

Mixed Number Form x = 3 1/2

hope this helps, have a great day

Answer:

14 x

Step-by-step explanation:

Answer: x= 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A and C

Step-by-step explanation:

m+5n(9−p)−6−rsquar(2.718282)d

Distribute:

=m+(5n)(9)+(5n)(−p)+−6+−2.718282adqr2su

=m+45n+−5np+−6+−2.718282adqr2su

Answer:

=−2.718282adqr2su−5np+m+45n−6

Answer:

C, D

Step-by-step explanation:

Answer:

Insects in Bookers collection = 50 insects

Insects in Reginald collection = 137 insects

Step-by-step explanation:

Total insects collected = 187

Reginalds collection are thirty-seven more than twice the number in Bookers collection.

Let

Insects in Bookers collection = x

Insects in Reginald collection = 2x + 37

How many insects are in Bookers collection?

Total insects collected = Bookers collection + Reginald collection

187 = x + (2x + 37)

187 = x + 2x + 37

187 = 3x + 37

187 - 37 = 3x

150 = 3x

Divide both sides by 3

x = 150 / 3

= 50 insects

Insects in Bookers collection = x

= 50 insects

Insects in Reginald collection = 2x + 37

= 2(50) + 37

= 100 + 37

= 137 insects

Total = 50 + 137

= 187 insects

Answer:

-28k - 36

Step-by-step explanation:

8k - 9(4k+4)

distribute -9 into the ( )

8k - 36k -36

combine 8k and - 36k to get - 28k

-28k-36

hope this helps!!!

Answer: 7/21 is the answer because 7 * 2 = 14 and 21*2=42

Step-by-step explanation:

Answer:

7/21

Step-by-step explanation:

This Correct Answer

Answer:

(0, 2)

Step-by-step explanation:

Given the following

coordinate A (-6, 5)

Coordinate C (4, 0)

Ratio is 2:3

Required

Coordinate of B

Using the midpoint formula expressed as;

M(X,Y) = [(ax1+bx2/a+b), ay1+by2/a+b]

x1 = -6, y1 = 5, x2 = 4 and y2 = 0

a = 2  b = 3

Get X;

X = ax1+bx2/a+b

X = 2(-6)+3(4)/2+3

X = -12+12/5

X = 0/5

X = 0

Get Y;

Y = ay1+by2/a+b

Y= 2(5)+3(0)/2+3

Y = 10/5

Y = 2

Hence the coordinate of B is at (0, 2)

Answer:

the answer is (-2,-3)

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

If J and K are complementary, then J + K = 90. If J is 18 less than K, then:

J = K - 18. Now we have a system. We'll sub in K - 18 for J to the first equation:

K - 18 + K = 90 and

2K - 18 = 90 and

2K = 108 so

K = 54

Now that we know K, we'll sub in to find J:

J + 54 = 90 so

J = 36

Answer:

the number on the left is half of the amount of the number next to it on the right, so the next three terms are 64, 128, 256

Step-by-step explanation:

ex 4x2=8 8x2=16 16x2=32

Answer:

The answer should be $143

Answer:

88888

Step-by-step explanation:

6201005050

Answer:

a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm.

Step-by-step explanation:

so I'd say 21

Answer:

first one is proportional, second is not. (not sure how to answer the number thing lol)

Step-by-step explanation: