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lana [24]
3 years ago
5

The three altitudes of ΔABC intersect at point F. Point F is the

Mathematics
2 answers:
dalvyx [7]3 years ago
6 0

Answer:

The answer would be D-orthocenter

Step-by-step explanation:

The definition for orthocenter is the point where 3 altitudes of a triangle intersect. (inside my math vocab)

zlopas [31]3 years ago
5 0
D.) Orthocenter.....
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The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square​ centimeters, find
mr Goodwill [35]
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)
6 0
3 years ago
In ∆ABC, m∠ACB = 90°, m∠A = 40°, and D ∈ AB such that CD is perpendicular to side AB. Find m∠DBC and m∠BCD.
podryga [215]

Answer:  ∠B = 50°

               ∠BCD = 40°

<u>Step-by-step explanation:</u>

ACB is a right triangle where ∠A = 40° and ∠C = 90°.

Use the Triangle Sum Theorem for ΔABC to find ∠B:

∠A + ∠B + ∠C = 180°

40° + ∠B + 90° = 180°

         ∠B + 130° = 180°

                  ∠B = 50°

BCD is a right triangle where ∠B = 50° and ∠D = 90°.

Use the Triangle Sum Theorem for ΔBCD to find ∠C:

∠B + ∠C + ∠D = 180°

50° + ∠C + 90° = 180°

         ∠C + 140° = 180°

                  ∠C = 40°

8 0
3 years ago
Write the equation of the line that passes thriugh the points (3,-2) and (5,-9)?
Tanya [424]

Answer:

y = -7/2x + 17/2

Step-by-step explanation:

Slope = (-9 - - 2)/(5 - 3)

= -7/2

y-intercept: -2 - (-7/2)(3)

= -2 + 21/2 (-2*2+21)/2

= 17/2

4 0
2 years ago
Please answer correctly !!!! Will mark brainliest !!
jek_recluse [69]

Answer:

h(u)=-7/6u

Step-by-step explanation:

To write a formula for v in terms of u, you need to first isolate v.

4u+8v=-3u+2v

Add 3u to both sides:

7u+8v=2v

Subtract 8v from both sides:

7u=-6v

Divide both sides by -6:

v=-7/6u

Hope this helps!

5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!! ITS DUE TODAY!!!!!!!
mixer [17]

Answer:

$5.83 in taxes.

Step-by-step explanation:

Discounted price of pants: 23.50 × (1 - 0.3) = 16.45

Discounted price of shirts: 16.25 × (1 - 0.25) = 12.1875

Discounted price of hats: 9.75 × (1 - 0.15) = 8.2875

2 pants, 3 shirts, and 1 hat:  16.45(2) + 12.1875(3) + 8.2875(1) = 77.75

Sales tax: 77.75 × 0.075 = 5.83125

Rounded to nearest cent: $5.83 in sales tax

4 0
2 years ago
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