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LekaFEV [45]
3 years ago
7

What is the measure of angle ABC below if arc AC measures 98°?

Mathematics
2 answers:
ra1l [238]3 years ago
8 0
Per the central angle theorem, central angles (such as ABC in your picture) have the same degree measure as the arc it intercepts. If you are given that ABC is a central angle, that would be the correct answer. I hope this helps!
Georgia [21]3 years ago
7 0
262, your welcome bud, have a good day
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Factor completely 3x 2 + 2xy - y 2
sergij07 [2.7K]

Answer:

Final answer is (3x-y)(x+y).

Step-by-step explanation:

Given expression is 3x^2+2xy-y^2.

Now we need to factor the given expression 3x^2+2xy-y^2 completely. Let's use factor by grouping method.

3x^2+2xy-y^2

=3x^2+3xy-xy-y^2

=3x(x+y)-y(x+y)

=(3x-y)(x+y)

Hence final answer is (3x-y)(x+y).

5 0
3 years ago
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Which statement is true about the function f(x)= -x?
Oxana [17]

Answer:

Step-by-step explanation:

The domain of the graph is all real numbers.

8 0
3 years ago
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Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i
True [87]

wheee



Compute each option


option A: simple interest


simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)


and I=PRT

P=principal

R=rate in decimal

T=time in years


so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10


A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years




Option B: compound interest

for interest compounded yearly, the formula is

A=P(1+r)^t

where A=final amount

P=principal

r=rate in decimal form

t=time in years


given

P=15000

r=4.1% or 0.041

t=10


A=15000(1+0.041)^{10}

A=15000(1.041)^{10}

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account





in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0
3 years ago
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What is the solution to the system of equations?
MariettaO [177]

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

=

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

 

7 0
2 years ago
A car travels 12 miles on 0.3 gallon of gas, How far can it travel on 1 gallon?
oksano4ka [1.4K]

Answer:

40 miles

Step-by-step explanation:

1 divided by 0.3 x 12=40


8 0
2 years ago
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