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Zepler [3.9K]
2 years ago
14

Statements

Mathematics
1 answer:
vazorg [7]2 years ago
6 0

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

CBD = ABD

and

CBD + ABD = 90

Substitute CBD for ABD in CBD + ABD = 90

CBD + CBD = 90

2CBD = 90

Divide both sides by 2

\frac{2CBD}{2} = \frac{90}{2}

CBD = \frac{90}{2}

CBD = 45

Hence, it is proved that CBD = 45

<em>Follow the above explanation and use it to answer your question properly</em>

You might be interested in
How do you get the equation of the line in fully simplified slope-intercept form?​
Igoryamba

Answer:

y= -2/5 x -4

Step-by-step explanation:

So the equation is y=mx+b. Where m=slope and b=y-intercept. To find b, you would see at what point does the line cross the y axis. That would be at -4 so, -4 would be the b or y-intercept. To find m, you would take two points on the line and use this equation:

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

If you were using the points, (-10,0) and (0, -4) the equation would be:

m=(-4-0) / (0+10)

So, m= -2/5

The equation of the line would end up being:

y= -2/5 x -4

4 0
3 years ago
45 points for first most detailed / accurate answer:
Bas_tet [7]
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions. 

I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.

With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:

V=pi(r^2)(h)

we then solve the corresponding height per candle. Let us let the value of pi be 3.14.

Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for 

r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in

b. each candle should sell for $15.00 each

($20+$100)/8=$15.00

c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
7 0
2 years ago
Explain your answer, please
Molodets [167]

.1.Scale Factor of Triangle STU to Triangle PQR= 1.5

2.Scale Factor of Trapezoid EFGH to Trapezoid JKLM =2

3. about 90 armadillo

1.Side ST: 15 ÷ Side PQ: 10 = 1.5

2.Side JM: 14 ÷Side EH: 7 = 2

3.843/7=120.428571429

843/4=210.75

210.75-120.428571429=90.321428571

This rounds to 90 armadillo

Hope this helps :3 ❤

8 0
3 years ago
Read 2 more answers
Answer all three please having trouble
Alona [7]

Answer:

1) b 243

Sorry, I couldn't figure out the other two..

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
As.
Natalka [10]

9514 1404 393

Answer:

  • 4/13 h ≈ 0.308 h
  • 22 9/13 km ≈ 22.7 km

Step-by-step explanation:

Mary and Amaruk are starting 35 -15 = 20 km apart. Their closing speed is 40 +25 = 65 km/h. The time it will take to close the gap between them is ...

  t = (20 km)/(65 km/h) = 20/65 h = 4/13 h ≈ 0.308 h

They will pass each other after 4/13 hours, about 18 minutes 28 seconds.

__

In that time, Mary will have increased her distance from Hall Beach by ...

  d = (4/13 h)(25 km/h) = 100/13 km = 7 9/13 km

Her distance from Hall Beach when she passes Amaruk will be ...

  15 km + 7 9/13 km = 22 9/13 km ≈ 22.7 km . . . . . distance from Hall Beach

6 0
3 years ago
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