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Allisa [31]
3 years ago
12

What’s the Value for k?

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

Step-by-step explanation:

The sum of the angles on a straight line is 180 degrees. Therefore,

Angle XYZ + angle MYZ = 180

Angle XYZ + 115 = 180

Angle XYZ = 180 - 115 = 65 degrees

The sum of the angles in a triangle is 180 degrees. It means that

Angle XZY + angle YXZ + angle MYZ = 180

Therefore,

4k + 5 + 6k + 10 + 65 = 180

4k + 6k + 5 + 10 + 65 = 180

10k + 80 = 180

10k = 180 - 80 = 100

Dividing the left hand side and the right hand side of the equation by 10, it becomes

10k/10 = 100/10

k = 10

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jok3333 [9.3K]
Your answer is gonna be 1/25
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2 years ago
Zack has a car. He wants to sell it for 60% off the current price.the market price is $500. How much money would he receive in e
Mariana [72]
Since Zack wants to sell his car for 60% off the current price of $500, he has to multiply 0.60 (60% in decimal form) by $500, which equals $300. Now, the next step is very important. He has to subtract $500 from $300 since $300 is the amount OFF. Once he does that, he will get $200.

- Hope I helped :)

- Learning is beautiful thing and a lifelong journey. 
8 0
3 years ago
6. Write the explicit formula for the geometric sequence of the height of the ball on the 10th bounce.First bounce: 54 inchescom
Nat2105 [25]

The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.

The explicit formular for the geometric sequence is shown as;

\begin{gathered} ar^{n-1} \\ \text{Where a is the first term in the sequence,} \\ r\text{ is the common ratio betw}een\text{ every successive term} \\ \text{And n is the nth term} \\ \text{The explicit formular for the height of the ball on the 10th bounce is;} \\ ar^{n-1} \\ 54\times(0.750)^{10-1} \\ 54\times(0.750)^9 \\ 54\times0.07508468\ldots \\ 4.0545 \end{gathered}

The explicit formula is shown as;

54 x (0.750)^9

The rest is simply to solve for the height on the 10th bounce

5 0
1 year ago
A pile of cards has 3 black cards and 5 red cards. Alex picks 6 cards out of the pile, without replacement. Which of the followi
scoray [572]

Answer:

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Step-by-step explanation:

4 0
2 years ago
A school survey reported that
kozerog [31]

The probability that the student has  a part-time job, given that they  have a cell phone is 5/8

<h3>What is probability</h3>

Probability is the likelihood or chance that an event will occur.

Given the following parameter:

  • Total student = 80%
  • Part-time jobs = 45%
  • Those with both a cell phone  and a part-time job = 30%

Student will cellphone only = 80 - 30 = 50%

The probability that the student has  a part-time job, given that they  have a cell phone is 50/80 = 5/8

Learn more on probability here: brainly.com/question/25870256

6 0
2 years ago
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