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lara31 [8.8K]
2 years ago
5

Rhombus JKLM is shown below. Find m∠KLM.

Mathematics
1 answer:
lianna [129]2 years ago
7 0

Answer:

Option D

Step-by-step explanation:

Properties of a rhombus,

1). Diagonals of a rhombus bisect the opposite angles.

2). Sum of adjacent two angles of a rhombus is 180°.

By property (1),

Diagonal JL will bisect the angles ∠MJK and ∠KLM.

Therefore, m∠KLM = 2(5x + 3)°

Similarly, diagonal KM will bisect the angles ∠JKL and JML.

Therefore, m∠JKL = 2(9x - 11)°

By property (2),

2(9x - 11)° + 2(5x + 3)° = 180°

9x - 11 + 5x + 3 = 90

14x - 8 = 90

14x = 98

x = 7

Since, m∠KLM = 2(5x + 3)°

                        = 2(5×7 + 3)°

                        = 76°

Therefore, Option D will be the answer.

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Answer:

Hope that help you mark me brinilylist

Step-by-step explanation:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pound of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for the number of pounds (P) and cost (C)  we can graph the points from that table to get the final graph.

The Attached graph is the final graph.

3 0
2 years ago
Please help me on this
timama [110]

Answer:

ANSWER IS C,,, 0

Step-by-step explanation:

the J+8 is basically going along with that the answer J+8 could be LESS than or equal to 8 if we pick any other number its going to be GREATER than 8 an we want LESS than 8,,,hope this helps.

8 0
2 years ago
A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195, ho
Thepotemich [5.8K]

The time spent by the repairman there will be 3 hours so the correct answer is option D.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.

The time will be calculated as:-

Total amount =  $195

Now the fixed consulting cost will be $60 and will be deducted from the

total amount.

Variable cost = 195 - 60 = 135

The $45 per hour charge so for $145 the time will be:-

Time = 135 / 45

Time =  3 Hours

Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.

To know more about relations follow

brainly.com/question/25862883

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6 0
1 year ago
The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
Ilia_Sergeevich [38]

Answer:

(0.0757;0.1403)

Step-by-step explanation:

1) Data given and notation

Republicans =115

Democrats=331

Independents=54

Total= n= 115+331+54=500

\hat p_{ind}=\frac{54}{500}=0.108

Confidence=0.98=98%

2) Formula to use

The population proportion have the following distribution

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

The confidence interval for the population proportion is given by this formula

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

We have the proportion of independents calculated

\hat p_{ind}=\frac{54}{500}=0.108

We can calculate \alpha=1-conf=1-0.98=0.02

And we can find \alpha/2 =0.02/2=0.01, with this value we can find the critical value z_{\alpha/2} using the normal distribution table, excel or a calculator.

On this case z_{\alpha/2}=2.326

3) Calculating the interval

And now we can calculate the interval:

0.108 - 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.0757

0.108 + 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.1403

So the 98% confidence interval for this case would be:

(0.0757;0.1403)

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2 years ago
How do I solve number five and what is the answer?
Gre4nikov [31]

Answer:C

Step-by-step explanation:

You convert 17.5 to a decimal that is 0.175 and 0.175 as a fraction is 7/40

3 0
2 years ago
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