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VLD [36.1K]
3 years ago
5

2. Find mzR and mzS. 89° R 157 T Р

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

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Find the slope of each line defined below and compare their values. Down-drop Less than, greater than, equal to.​
Agata [3.3K]

Answer:

\displaystyle equal\:to \\ Line\:B: 1 \\ Line\:A: -1

Step-by-step explanation:

Starting from the y-intercept of \displaystyle [0, -2],you do \displaystyle \frac{rise}{run}by either moving one block <em>south</em> over one block <em>west</em> or one block <em>north</em> over one block <em>east</em> [<em>west</em> and <em>south</em> are negatives].

Now, for Line <em>A</em>, we need to convert this <em>Linear</em><em> </em>Standard Equation to Slope-Intercept Form, \displaystyle y = mx + b,where the slope is represented by <em>m</em>:

x + y = 3

- x - x

__________

\displaystyle y = -x + 3

So, the slope of Line <em>A</em> is \displaystyle -1,and since −1 is less than 1, <em>less than</em> would be the answer, HOWEVER, they BOTH have some slope of 1, so since −1 is the negative <em>absolute</em><em> </em><em>value</em><em> </em>of 1, <em>equal</em><em> </em><em>to</em><em> </em>will be the answer.

I am joyous to assist you anytime.

4 0
3 years ago
Manny spent $36 on 30 bottles of soda. how much would he spend on 12 bottles
viva [34]

Answer:

He would spend $14.40 on 12 bottles.

7 0
2 years ago
Please help ASAP!
Fudgin [204]

Amplitude:

we can see that

maximum value is 3

minimum value is -1

so,

A=\frac{max-min}{2}

A=\frac{3+1}{2}

A=2

Period:

It is time completed after which value repeats itself

so, we get

T=\pi -0

T=\pi

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option-D............Answer

5 0
3 years ago
If r = -\sqrt{2}, and a5 = \sqrt{2}, what is the first term of the sequence?
shepuryov [24]

Answer: C

<u>Step-by-step explanation:</u>

Let x represent the first term (a₁)

a₁ = x

a₂ = x(-√2)  = -x√2

a₃ = -x√2(-√2)  = 2x

a₄ = 2x(-√2)   = -2x√2

a₅ = -2x√2(-√2)   = 4x

Since it is given the a₅ = √2, then we  can solve: 4x =√2

Divide both sides by 4 to get: x = \frac{\sqrt{2}}{4}

this can also be written as: \frac{1}{4}\sqrt{2}

6 0
3 years ago
What is the simplest form of this expression? (x + 7)(3x − 8) A. 3x2 + 2x − 15 B. 3x2 + 29x − 1 C. 3x2 − 29x − 56 D. 3x2 + 13x –
Lorico [155]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>D. 3x² + 13x - 56</em>

▹ Step-by-Step Explanation

(x + 7)(3x - 8) (<em>Using FOIL method)</em>

x * 3x - 8x + 7 * 3x - 7 * 8

3x² - 8x + 7 * 3x - 7 * 8

3x² - 8x + 21x - 56

3x² + 13x - 56

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

3 0
3 years ago
Read 2 more answers
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