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3 years ago

Simplify the equations:8(y-x)-2(x-y) HELP ASAP!!

Mathematics

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer:

simplified equation is 10y-10x

Step-by-step explanation:

8(y-x) -2(x-y)

multiple 8 and 2 by the corresponding parentheses

8y-8x -2x +2y

10y -10x

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Two similar triangles are shown.

galina1969 [7]

correct answer is reflect ,

4 0

3 years ago

Read 2 more answers

ILL GIVE BRAINLIEST!! please answer this and tell me how you got it for the calculations on the side. there's also a bonus quest

In-s [12.5K]

Answer:

Height of Flagpole: 24.03 feet

Length between tip of flagpole and tip of shadow: 46.67 feet

Step-by-step explanation:

So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):

tanθ = opposite/adjacent

tan(31°) = h/40

40tan(31°) = h

24.03442476 = h

h ≈ 24.03

Therefore, the height of the flagpole is about 24.03 ft.

As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):

a² + b² = c²

(40tan(31))² + (40)² = c²

577.6535736 + 1600 = c²

2177.6535736 = c²

46.66533589 = c

c ≈ 46.67

Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.

7 0

3 years ago

Two polygons are similar. What is the correct similarity statement?<br>

joja [24]

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

6 0

3 years ago

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Quadrilateral ABCD is inscribed in a circle. Angle B measures (x – 5)°, and angle D measures (3x + 5)°. Find x.

zepelin [54]

Answer: x = 45

Step-by-step explanation:

Quadrilaterals inscribed in a circle have all four vertices on the circle.

A unique property of these types of quadrilaterals is their angle measures: Opposite angles of inscribed quadrilaterals will always add up to 180 (they are supplementary angles).

As such, the inscribed quadrilateral ABCD has opposite angles at AC and BD. Because the quadrilateral is inscribed, this means that the angles A + C and the angles B + D will equal 180 degrees. We can represent the angles measures for B and D in an equation where B + D = 180:

$(x-5)+(3x+5)=180\\\\4x = 180\\\\x=45$

When x = 45, the angle B is 40 degrees and the angle D is 140 degrees.

7 0

3 years ago

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A cylinder has a volume of 225π inches 3 . What is its height, if its radius is 10 inches?

masya89 [10]

V=(225pi) in
r=(10in)
h=?

v=r2hpi
h=2,25in

4 0

4 years ago