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galina1969 [7]
3 years ago
9

What is the exact value of x

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0
X is also the height of △XYZ

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State whether the given measurements determine zero, one, or two triangles. A = 80°, a = 24, b = 50
Arte-miy333 [17]
We know that
applying the law of sines
a/sin A=b/sin B---------> a*sin B=b*sin A
<span>A = 80°, a = 24, b = 50
sin B=[b*sin A]/a-----> sin B=50*sin 80/24-----> sin B=2.0517

the sines value </span><span>can not be greater than 1
hence

the answer is
zero triangles</span>
4 0
3 years ago
Read 2 more answers
You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%
xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20

The present value of your winnings is $102,677.20.

8 0
3 years ago
Find the measure of
Butoxors [25]

Step-by-step explanation:

angles a,f,g form a triangle

sum of angles in ∆ = 33 + 112+ a = 180

145 + a = 180

a = 35°

7 0
2 years ago
What is the value of x in the diagram?
dalvyx [7]

Answer:

x = 30

Step-by-step explanation:

here 50 is hypotenuse as it is opposite of 90 degree.

x and x + 10 are the two other smaller sides of a right angled triangle respectively.

using pythagoras theorem,

a^2 + b^2 = c^2

x^2 + (x + 10)^2 = 50^2

x^2 + x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 = 2500

2x^2 + 20x + 100 - 2500 = 0

2x^2 + 20x - 2400 = 0

2(x^2 + 10x - 1200) = 0

x^2 + 10x - 1200 = 0

x^2 + (40 - 30) - 1200 = 0

x^2 + 40x - 30x - 1200 = 0

x(x + 40) - 30(x + 40x) = 0

(x + 40)(x - 30) = 0

either x + 40 = 0          OR x - 30 = 0

x = 0 - 40

x = -40

x - 30 = 0

x = 30

x = -40,30

since the length and distance is not measured in negative ur answer will be 30

credit goes to sreedevi102

thank u very much . At first i was wrong and giannathecookie i m really sorry

3 0
3 years ago
Read 2 more answers
Todd buys 3 CDs at $16.99 each and a DVD that costs $24.99. He pays
VikaD [51]

Answer:

$24.04

Step-by-step explanation:

3 x $16.99 = $50.97

1 x $24.99 = $24.99

$24.99 + $50.97 = $75.96

$100 - $75.96 = $24.04

5 0
3 years ago
Read 2 more answers
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