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zalisa [80]
3 years ago
10

Please need help asap!!

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Draw a line from Y through the center of the circle to the opposite edge. Label the opposite edge T. ZYT = 90o. That's a property of a tangent line and a diameter touching the tangent point.

ZYX = 60o Given

TYX + ZYX = 90o Property of a diameter and circles. That's

TYX = 90 - 60

TYX = 30.

The arc measurement between T and X = 60o Property of a central angle and an angle whose vertex is on the circumference sharing the same endpoints of chord are related by a ratio of 2:1.

The rest of the arc = 120o. The rest of the arc is 180 - 60 = 120. The rest of the arc is XYZ which is 120o

Arc XYZ is bisected by YW. Therefore Arc XW = 120/2 = 60

The answer is A.


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Given F ( x ) = -2/3 x - 4 What is the zero of this function?
sineoko [7]

Answer:

-4

Step-by-step explanation:

f(0)=(-2/3)(0) - 4

= - 4

5 0
3 years ago
Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one
agasfer [191]

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

4 0
4 years ago
Is (x+7) a factor of f(x)= x^3-3x^2+2x-8
nikklg [1K]

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

6 0
4 years ago
What is the probability that you and your friend are both chosen?
WINSTONCH [101]

Answer:  \frac{2}{35}

Step-by-step explanation:

Given: The total number of ways of to choose 3 contestants out of 7 (including me and my friend)=35..................> Total outcomes.

Favorable outcomes = 2

Then the probability that me and my friend are both chosen =\frac{\text{favorable outcomes }}{\text{Total outcomes}}

Thus , the probability that me and my friend are both chosen =\frac{2}{35}

5 0
3 years ago
Read 2 more answers
Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783, which equation could be used to fi
stepladder [879]
(2x+1)=Jeremy´s age
(2x+3)=Sam´s age.
we suggest this equation:
(2x+1)(2x+3)=783
4x²+6x+2x+3=783
4x²+8x-780=0
x²+2x-195=0

We solve this quadratic equation:
x=[-2⁺₋√(4-4*1*(-195))]/2=(-2⁺₋28)/2

x₁=(-2-28)/2=-15 this solution is not valid.
x₂=(-2+28)/2=13

Jeremy´s age=2x+1=2*13+1=27
Sam´s age=2x+3=2*13+3=29



7 0
3 years ago
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