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3 years ago

Can a Math expert please solve this and explain their answers. Thanks

Mathematics

1 answer:

Rudik [331]3 years ago

3 0

Answer:

B
152°
B
A

Step-by-step explanation:

The measure of an arc is twice the measure of the inscribed angle that subtends that arc. A tangent is a special case where the chord that is one leg of the inscribed angle has a length of zero.

1. Short arc LJ is 2a°. Short arc LK is 2b°. Then arc JLK is 2(a+b)°, and short arc JK is ...

arc JK = 360° -2(a +b)° . . . . . matches choice B

2. Long arc WY is twice the measure of "inscribed" angle WYZ, so is ...

long ard WY = 2(104°) = 208°

Then short arc WY is ...

arc WXY = 360° -208° = 152°

3. The arc measures are double those of the corresponding inscribed angles. We can add up the arcs around the circle:

(arc AB +arc BC) = 2×70° = 140° . . . inscribed angle relation

(arc BC +arc CD) = 2×98° = 196° . . . inscribed angle relation

arc AB + arc BC +arc CD +arc DA = 360° . . . . sum around the circle

Adding the first two equations with arc DA, we have ...

(arc AB + arc BC) +(arc BC +arc CD) +arc DA = 360° +arc BC

140° +196° +80° = 360° +arc BC

416° -360° = arc BC = 56° . . . . . matches choice B

4. Angle C and angle A are supplementary in this inscribed quadrilateral.

angle C = 180° -98° = 82° . . . . . matches choice A

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3 years ago

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Find the area pf a trapezoid with a base of 26.7 ft , a height of 15.4 and top of 9.9 ft

evablogger [386]

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3 years ago

Find the length of chord QS 1)5 2)33 3)21 4)32

Harrizon [31]

Answer:

Length of Chord QS = 33

Step-by-step explanation:

Length of Chord QS:

QW X WS = PW = WR

12(4x + 1) = 14(3x + 3)

48x + 12 = 42x + 42

48x - 42x = 42 - 12

6x = 30

x = $\frac{30}{6}$ = 5

∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33

The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

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3 years ago

A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . How long is each side of th

MariettaO [177]

Answer: The length of each side of the building block is 0.56 feet

Step-by-step explanation:

A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . Each of the building blocks has 6 faces which are squares, 8 vertices and 12 edges.

Since a square has all sides to be equal sides,

The volume of the cube = the volume of the building block =

Product of length,L, width, W and height, H.

Volume of the building block = L × W × H

Since length = width = height,

Volume of cube = L^3

From the information given,

Volume of a building block = 125/729ft cubed

L^3 = 125 / 729

Taking cube root of both sides of the equation,

L = cube root of 125/729

L = 5/9

= 0.56 feet

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3 years ago