Help plssssssssssssssss

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles

The measure of ∠B is 44°

Reason:

The known parameters are;

The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC

ΔABC ~ ΔACD,

∠A = 48°

BC = CD

Required:

The measure of angle ∠B

Solution:

ΔBDC is an isosceles triangle

Let x, represent ∠B

Therefore, ∠BDC = x, by base angles of an isosceles triangle

Given that  ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;

∠ADC = 2·x by exterior angle of a triangle theorem

Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x

Which gives;

48° + x + 2·x = 180° sum of angles in a triangle theorem

[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]

∠B = x = 44°

The measure of ∠B = 44°

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Answer:

I know I'm late to answer this but its 10 [tex]\frac{5}{6}[/tex] I hope this helps :D

Step-by-step explanation:

Answer:

m - 19 = 58

Step-by-step explanation:

Knowing that the word "difference" relates to subtraction, you should know that the equation involves a minus sign.

The problem also tells us that 58 is the difference. Basically, the word difference means the answer to a subtraction problem. So 58 is the answer to this equation.

However, we are not done yet. It says to use "m" to represent Matt's age. Thus, we can write our equation as:

m - 19 = 58.

The variable "m" goes first instead of 19 because the answer would no longer be 58. For instance, let's say m is 18, 19-18 is equal to 1...not 58.

Therefore, the correct equation is:

m - 19 = 58

Hope this helps!! :D

Answer:

How long should it take to finish a 25-question test? If you give students an average of 30 seconds to one minute to answer the questions, then the average time to finish a test of this size would be around 15-30 minutes. Of course, some questions would take more time and some less.

Step-by-step explanation:

The average speed of the runner is 12.7 mph and 20.4 km/h

Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from  hours and minutes into minutes and finally hours, since hours is what we need. So, we have

2hr = 120mins

+ 4 mins = 124 mins

124 mins ÷ 60 hour/mins = 2.06 hours.

This means that the runner finished the race in 2.06 hours.

If we are to find the average speed in mile per hour, we have

Average speed = distance ran ÷ time taken

Average speed = 26.2 ÷ 2.06

Average speed = 12.7 mph

From the speed in mph, we can directly convert it to km/hr by saying

1 mph = 1.609 km/h

12.7 mph = 12.7 * 1.609 = 20.4 km/hr

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Explanation:

Move the decimal point to the right one spot for each value

-3.2 turns into -32

0.8 turns into 8.0 which is the same as 8

That means the given fraction is the same as -32/8 which simplifies into -4

Answer:

- a/b

Step-by-step explanation:

Answer:

Datas are not given...............

Answer:

there is no data? pls give data

Answer:

the triangle is isosceles triangle. so, the two angles of the same side are equal.

(5x)°=40°

x = 40/5

x = 8

40° +40°+(2y+20)°=180°

80 + 2y +20 =180°

100° +2y =180°

180°-100°=2y

80° = 2y

80°/2= y

40 = y

Answer:

the shorter man

Step-by-step explanation:

224 cm minus 174.21 = 49.79

49.79/5.56= approximately 9 standard deviations from the mean.

174.21 minus 97.8= 76.41

76.41/5.56= approximately 14 standard deviations from the mean.

bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.

Answer:

Step-by-step explanation:

What percent is 29 dollars out of 122.50 and what percent of 122.50 is it?

What percent is 28.50 dollars out of 122.50 and what percent of 122.50 is it?

What percent is 33 dollars out of 122.50 and what percent of 122.50 is it?

What percent is 32 dollars out of 122.50 and what percent of 122.50 is it?

Note: all results are rounded to the nearest hundredths

Answer:

The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.

Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius.   Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

The other answers (in order) equal 5, 1 and 1/5, and 2, so the only other option left is 1/5.

-11.9 -1 = -12.9

Your answer is negative 12.9

Answer:

-12.9

Step-by-step explanation:

Hope this helps you! :)

A fraction whose numerator and denominator have the same value.

Step-by-step explanation:

I'm not sure but i believe is that one

The best definition of the term "reciprocal" is: A fraction that is the multiplicative inverse of the given fraction. The correct option is option B

The reciprocal of a fraction is obtained by swapping the numerator and the denominator of the fraction. It is a number that, when multiplied by another number, results in a product of 1. For example, the multiplicative inverse of 2 is 1/2, because 2 × 1/2 = 1. In general, if a number "a" has a multiplicative inverse "b," then a × b = 1. However, not all numbers have multiplicative inverses.

Reciprocals are also knowns as multiplicative inverse. Multiplicative inverses are essential in various mathematical operations and concepts, including fractions and solving equations involving division.

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Answer :

square of 5 is 25 .

4

Step-by-step explanation:

5/7 × 0.25 = 5/7 ÷ a

25/100 = 1/a

25a = 100

a = 100/25

a = 4

Answer:

43/7

Step-by-step explanation:

6  1/7

First, you need to multiply 6 by 7, then add 1

43/7

Answer:

[tex]\frac{43}{7}[/tex]

Step-by-step explanation:

6 x 7 + 1

there is 6 whole fractions so it would be [tex]\frac{7}{7}[/tex] 6 times then add the [tex]\frac{1}{7}[/tex]

which would be [tex]\frac{43}{7}[/tex]

hopefully that made sense!

Answer:

angle 3- 131

angle 2- 112

angle 5- 37

angle 1- 80

angle 4- 80

hope this helps :)- please crown me brainliest!!!

Step-by-step explanation:

<2=63°+49°= 112°.

hope this helps you.

Answer:

32 trips.

Step-by-step explanation:

It's a proportion question.

7/84 = x/384

84x = 7*384

84x = 2688

Divide both sides by 84 to isolate x.

x = 2688/84

x = 32

So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.

(I apologize if the answer is wrong!)

Answer: Do you have a pic of the question if you do give and  give brainliest for it alright

Step-by-step explanation:

The exact volume of a general Cone is [tex]\frac{8\pi}{3}[/tex]

To solve this problem, we will make use of the second theorem of Pappus. This theorem is concerned with finding the volume produced when a plane shape is rotated around an axis ( the volume of the solid of revolution ).

The theorem states:

The volume of a solid of revolution obtained by rotating a lamina F (the triangle) about a non-intersecting axis (the y-axis) lying in the same plane is equal to the product of the area A of the lamina F and the distance d traveled by the centroid of F.

That is

[tex]V=A\times d[/tex]

When the centroid travels, it forms a circumference d given by,

[tex]d=2\pi r[/tex]

Therefore

[tex]V=A\times 2\pi r[/tex]

From the diagram below,

The vertices (or, corners) of the triangle are A(0, 0), B(1, 0), and C(0,8).

G is the centroid of the triangle. The centroid of the triangle is the geometric center of the triangle. The centroid would be the balance point if a pin were to be used to balance the triangle.

r is the distance from the centroid to the axis of rotation ( the y-axis in this case). It is like saying the radius of rotation.

The things we need to find are A (the Area) and r.

Calculate A:

[tex]A=\frac{1}{2} \left| \Delta \right|[/tex]

          [tex]\Delta = \left|\begin{array}{cc} x_{B}-x_{A} & y_{B}-y_{A} \\ x_{C}-x_{A} &y_{C}-y_{A}\end{array}\right|= \left|\begin{array}{cc} 1-0 & 0-0 \\ 0-0 & 8-0\end{array}\right|= \left|\begin{array}{cc} 1 & 0 \\ 0 & 8\end{array}\right|[/tex]

          [tex]\Delta =8\times 1 -0\times 0=8[/tex]

[tex]A=\frac{1}{2} \left|8\right|=\frac{1}{2}\times 8=4[/tex]

Calculate r:

[tex]r=\overline{x}=\frac{x_A+x_B+x_C}{3}=\frac{0+1+0}{3}=\frac{1}{3}[/tex]

Finally, Calculate the volume, V:

[tex]V=A\times 2\pi r=4 \times2\pi\times\frac{1}{3}=\frac{8\pi}{3}[/tex]

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Answer:

-7 x 21

this adds up to 14 and multiplies -147

The equation of the line is represented in table number 2. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the y-intercept is 5. Then the equation is given as,

y = mx + 5

From the graph, the equation passes through (-4, -3). Then we have

- 3 = (-4)m + 5

- 8 = - 4m

m = 2

Then the equation is given as,

y = 2x + 5

The equation of the line is represented in table number 2. Then the correct option is B.

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

D (- 5, - 4 ) → D' (- 5, 4 )

E (- 5, - 2 ) → E' (- 5, 2 )

F (- 1, - 2 ) → F' (- 1, 2 )

G (- 1, - 4 ) → G' (- 1, 4 )

The value of y when x = 38 would be 9.5

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Given that  table represents a proportional relationship between x and y.

we just need to solve for the slope

Therefore,

k = x/y

k = 20/5

k = 4

when x = 38

y = 1.5x

y =(1.5) 38

y = 9.5

The value of y when x = 38 would be 9.5

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Answer:

3 cm

Step-by-step explanation:

area=length times width.

length=4

width must be 3 as 4x3=12

Answer:

21.15 ft

Step-by-step explanation:

18.7 - 14.3 = 4.4 = pool depth

25.55-4.4 = 21.15 = slide height

Answer:

The height of the tallest water slide is 58.55 feet.

Step-by-step explanation:

To find the height of the tallest waterslide, we need to add the height from the surface of the pool to the point where Dominic reached before going down the water slide and the height of the water slide itself.

Dominic jumped from a height of 14.3 feet above the surface of the pool and traveled 18.7 feet straight down into the water, so his total distance from the surface of the pool to the point where he started going up the water slide is:

14.3 feet + 18.7 feet = 33 feet

From there, he traveled up 25.55 feet to the top of the water slide, so the height of the tallest water slide is:

33 feet + 25.55 feet = 58.55 feet

Therefore, the height of the tallest water slide is 58.55 feet.