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3 years ago

using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)

Mathematics

1 answer:

Gwar [14]3 years ago

7 0

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

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Which postulate or theorem proves CFE and DFE are congruent SAS AAS SSS ASA

Lelu [443]

<h2>This would be the SSS theorem.</h2>

The reason would be because the diagram shows already that the two sides are congruent to the other two sides. The line in the middle is congruent to itself. (Reflexive Property) Because we now have three congruent sides, we can say that the SSS theorem proves the two triangles congruent

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3 years ago

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Can someone help me with this ?

telo118 [61]

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4 years ago

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Find the measure of angle b if angle a is 22 degrees and the whole angle is 300 degrees

Dima020 [189]

Answer:

$a = 278^{\circ}$

Step-by-step explanation:

Given

$b = 22^{\circ}$

$Whole\ Angle = 300^{\circ}$

Required

Find the measure of a

Since there is no diagram to support the question, we'll assume that:

$a + b = Whole\ Angle$

This gives:

$a + 22^{\circ} = 300^{\circ}$

Subtract 22 from both sides

$a + 22^{\circ}-22^{\circ} = 300^{\circ}-22^{\circ}$

$a = 300^{\circ}-22^{\circ}$

$a = 278^{\circ}$

6 0

3 years ago

in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the

Igoryamba

Answer:

n = 16

Step-by-step explanation:

The slope from the origin to each point must be equal

(0,0) and (n, 8)

m = 8/n

(0, 0) and (32, n)

m = n/32

Set the slopes equal

8/n = n/32

cross multiply

256 = n²

Take the square root of both sides

n = 16

8 0

2 years ago

I need help with my homework

maxonik [38]

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angle

The measure of any circle is 360°

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

∴ m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

∴ m of arc RQ = 10x + 30

∵ The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

∴ 10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

∴ x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

∴ The measure of the arc RQ is 160°

4 0

2 years ago