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2 years ago

Find m1 and m2 . Tell which theorem can be used. m1 = by the… m2 = by the…

Mathematics

1 answer:

harkovskaia [24]2 years ago

3 0

122° and angle 1 are alternate interior angles and hence they are equal.

m1 = 122°

122° + angle 2 = 180° [sum of co interior angles is 180°]

angle 2 = 180° - 122°

m2 = 58°

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If arc SQ = 84° and ∠RPS = 26°, what is the measure of arc RS? need answer asap thank you

Lera25 [3.4K]

Answer:

$arc\ RS=136\°$

Step-by-step explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

In this problem

m∠RPS= $26\°$ ------> external angle

m∠RPS= $\frac{1}{2}(arc\ RS-arc\ SQ)$

we have

m∠RPS= $26\°$

$arc\ SQ=84\°$

substitute the values

$26\°=\frac{1}{2}(arc\ RS-84\°)$

Solve for arc RS

$52\°=(arc\ RS-84\°)$

$arc\ RS=52\°+84\°=136\°$

3 0

3 years ago

Read 2 more answers

A plane intersects a sphere with a volume of about 44.6 cubic meters through the center of the sphere. What is the area of the c

san4es73 [151]

From the above definition, we can say that the cross-section, as a result of the plane intersecting the sphere through its centre, will be a circle with the radius "r" same as that of the given sphere. Thus, the area of the cross section is 15.2 m²

5 0

2 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Len [333]

Answer:

In the operation, simplify

9-a² = (3-a)(3+a)

Factorize

4a²-4a-24-------------------divide each term by 4

a²-a-6-------------------------factorize

a²-3a+2a-6

a(a-3)+2(a-3)

(a+2)(a-3)

Factorize

a²-6a+9

a²-3a-3a+9

a(a-3)-3(a-3)

(a-3)(a-3)

Rewrite operation as

$\frac{8}{(3-a)(3+a)} /\frac{(a+2)(a-3)}{(a-3)(a-3)}$

Multiply by the recipricol

$\frac{8}{(3-a)(3+a)} *\frac{(a-3)(a-3)}{(a+2)(a-3)}$

cancel the similar terms

$\frac{8}{(3-a)(3+a)} *\frac{(a-3)}{(a+2)}$

6 0

2 years ago

Dina and Masha started out on a 12 mi bike path at the same time. When Dina reached the end of the 12 mi, Masha still had 3 mi l

Anna35 [415]

Answer:

6 mph

Step-by-step explanation:

Use formula

$D=r\cdot t,$

where

D = distance

r = rate

t = time

In your case,

D = 12 mi

D = 12 mi

r = 8 mph

t = ?

So,

$12=8t\\ \\t=\dfrac{12}{8}=\dfrac{3}{2}=1.5\ hours$

<u>Masha:</u>

D = 12 - 3 = 8 mi

r = ?

t = 1.5 hours

Then

$9=1.5r\\ \\r=\dfrac{9}{1.5}=\dfrac{90}{15}=6\ mph$

6 0

2 years ago

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(x+14)-(8-2x) equivalent to

kipiarov [429]

We are given the expression (x + 14) - (8 - 2x). The question is asking us to simplify this expression, and we can do that by first using the distributive property. This gives us x + 14 - 8 + 2x. Now, just combine like terms, which gives us 3x + 6. Therefore, the answer to your query is 3x + 6. Hope this helped and have a phenomenal day!

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3 years ago