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vaieri [72.5K]
3 years ago
13

Geometry question help me

Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0

Answer:

225

Explanation:

∠ADC is a right angle [definition of altitude]. ∠ADC = 4x - 10, and since all right angles are 90° >> 4x - 10=90 >> 4x -10+10= 90+10 >> 4x=100 >> 4x/4=100/4 >> x=25.

BD+DC=BC [Between-ness of points] >> 4x + 5x -3=BC >> we know that x=25, so by substitute property >> 4*25+5*25 -3=BC >> 100+125 -3=BC >> 222=BC

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Solve the system of equations by graphing<br>2x+y=8<br>x+3y=9​
natima [27]

9514 1404 393

Answer:

  (x, y) = (3, 2)

Step-by-step explanation:

The attached graph shows the solution.

  (x, y) = (3, 2)

3 0
2 years ago
The population of a small town in Ohio was 3,800 people in I. It has slowly been decreasing at a rate of 25% per year. What will
MrRa [10]

Answer:

676 assuming the population is 3800 in 2019. If it's a different year then change t.

Step-by-step explanation:

P(t) = P_{0} (1+r)^t \\\\P(6) = 3800(1-.25)^6 \\=P(6) = 3800(.75)^6\\=676


3 0
2 years ago
Sharon was going through the financial records of her company. The profit earned by the company, p(t), over time t, in years, fo
FromTheMoon [43]
For this case what we must do is find a quadratic function that is already factored.
 This is because in the factored quadratic equations, it is easier to observe the zeros of the function.
 In this case, the zeros of the function represent the time at which the company did not make any profit.
 We have the following equation:
 p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
 We observed that there was no gain in:
 t = 3
 t = 5
 The other roots are discarded because they are negative
 Answer:
 
a.p (t) = 40 (t - 3) (t + 2) (t - 5) (t + 3)
5 0
3 years ago
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
juin [17]

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}

\frac{x}{9}=\frac{16}{x}

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

5 0
3 years ago
50 POINTS FOR THIS 1 QUESTION I JUST NEED THE ANSWER
Oksana_A [137]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

5 0
2 years ago
Read 2 more answers
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