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Maru [420]
2 years ago
11

n ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles? ΔXYZ ≅ ΔTUV ΔXYZ ≅ ΔVU

T No congruency statement can be made because only two angles in each triangle are known. No congruency statement can be made because the side lengths are unknown.
Mathematics
2 answers:
Nikolay [14]2 years ago
6 0

Answer:

<em><u>D. No congruency statement can be made because the side lengths are unknown.</u></em>

Step-by-step explanation:

I JUST TOOK THE TEST!!!!

lions [1.4K]2 years ago
5 0
The triangles are similar because corresponding angles are congruent, however no congruency statement can be made because the side lengths are unknown.

The 4th selection is appropriate.
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What is the present value of a $50,000 decreasing perpetuity beginning in one year if the discount rate is 7% and the payments d
Trava [24]

Answer:

Present Value = $1666666.67

Step-by-step explanation:

Present Value of a Growing Perpuity is calculated using the following formula

PV =D/(r - g)

Where D = Dividend

r = Discount Rate

g = Growth rate

D = $50,000

r = 7%

r = 7/100

r = 0.07

g = 4%

g = 4/100

g = 0.04

PV = D/(r-g)

Becomes

PV = $50,000/(0.07-0.04)

PV = $50,000/0.03

PV = $1,666,666.67

So the Present Value of the perpuity is $1,666,666.67

4 0
2 years ago
If two lines are perpendicular describe the relationship between their slopes
Aloiza [94]
Perpendicular lines have slopes that are negative reciprocals. example: line a has a slope of 2/3, line b has a slope if -3/2 if they are perpendicular.
7 0
2 years ago
Which of these is longest distance 0.1203km or 123m or 1230cm or 12030mm
bogdanovich [222]
<h3>Answer: 123 meters is the longest </h3>

============================

Work Shown:

Convert everything to the same unit. I'm going to convert everything to meters

0.1203 km = 120.3 meters (multiply by 1000)

1230 cm = 12.3 meters (divide by 100)

12030 mm = 12.03 meters (divide by 1000)

------------------

The four distances we have are: 120.3 meters, 123 meters, 12.3 meters, 12.03 meters. We see that 123 meters is the longest.

7 0
2 years ago
Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00p
siniylev [52]

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

7 0
2 years ago
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times
bija089 [108]

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10^{-12}

Step-by-step explanation:

We are finding the quotient of the expression below in scientific notation

\dfrac{9.6X10^{-8}}{3.2X10^4} \\=\dfrac{9.6}{3.2}X10^{-8-4}\\ =3 X 10^{-12}

The following conclusions can be drawn

B.The power of 10 in the solution is –12, the difference of the original exponents.

C.The coefficient is 3, which is greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10^{-12}

7 0
2 years ago
Read 2 more answers
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