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andrezito [222]
3 years ago
12

Solve the proportional

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

10 / 4 = x + 8 / x - 1

[cross multiply]

10 (x - 1) = 4 (x + 8)

[distribute the factors]

10x - 10 = 4x + 32

+ 10 + 10

[add 10 to both sides to cancel out -10]

10x = 4x + 42

-4x -4x

[subtract both sides by 4x to cancel out 4x]

6x = 42

÷6 ÷6

[divide both sides by 6 to simplify 6x to x]

x = 7

________

x = 7 → 10 / 4 = x + 8 / x - 1 →

(7) + 8 / (7) - 1 → 15 / 6 →

15 ÷ 3 / 6 ÷ 3 → 5 / 2 →

5 × 2 / 2 × 2 → 10 / 4 = 10 / 4

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Answer:

  9x, 4y, -2

Step-by-step explanation:

The terms are the constants or products that make up the sum that is the polynomial. They are ...

  9x, 4y, -2

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4 years ago
Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshir
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25 + 0.3(25) is the same as (1 + 0.3) * 25
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Sweet corn of a certain variety is known to produce individual ears of corn with a mean weight of 8 ounces. A
Eva8 [605]
H0: μ = 8
H1: μ > 8

t = (8.25 - 8)/(0.8/sqrt(28)) = 1.654
t_table = 1.703

since t_calc < t_table, we accept H0, and conclude that the sample does not provide cnvincing evidence that the fertilizer had a positive impact on the weight of the corn ears at 0.05 level of significant.
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3 years ago
Find the area.<br> 5 cm<br> 5 cm<br> 16 cm---<br> 7 cm<br> 14 cm
zalisa [80]

Answer:

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Step-by-step explanation:

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3 years ago
A triangle has sides with lengths of 4, 12, and 13. Is it a right triangle
Iteru [2.4K]

Answer:

this is the anwser

Step-by-step explanation:

4 12 13 triangle

Obtuse scalene triangle.

Sides: a = 4   b = 12   c = 13

Area: T = 23.894

Perimeter: p = 29

Semiperimeter: s = 14.5

Angle ∠ A = α = 17.839° = 17°50'19″ = 0.311 rad

Angle ∠ B = β = 66.782° = 66°46'55″ = 1.166 rad

Angle ∠ C = γ = 95.379° = 95°22'46″ = 1.665 rad

Height: ha = 11.947

Height: hb = 3.982

Height: hc = 3.676

Median: ma = 12.349

Median: mb = 7.517

Median: mc = 6.144

Inradius: r = 1.648

Circumradius: R = 6.529

Vertex coordinates: A[13; 0] B[0; 0] C[1.577; 3.676]

Centroid: CG[4.859; 1.225]

Coordinates of the circumscribed circle: U[6.5; -0.612]

Coordinates of the inscribed circle: I[2.5; 1.648]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 162.161° = 162°9'41″ = 0.311 rad

∠ B' = β' = 113.218° = 113°13'5″ = 1.166 rad

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3 years ago
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