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Alla [95]
1 year ago
5

Ray AT bisects ZMAR If mZMAT= (6x-4) and mZRAT = (2x+8)", what is the mZMAR

Mathematics
1 answer:
telo118 [61]1 year ago
6 0

The measure of m<MAR= 28 de

<h3>What is angle bisector?</h3>

Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts.

Given:

AT bisects <MAR

and, m<MAT= (6x-4) and and m<RAT = (2x+8)

As, <MAR is bisected by ray AT.

So,

<MAT = <RAT

6x-4= 2x+8

6x- 2x = 8+4

4x = 12

x= 3

So, <MAT = 6x-4= 6*3-4= 14

and, <RAT = 2x+8 = 14

Hence, MAR= <MAT + <RAT = 14+14=28

Learn more about angle bisector here:

brainly.com/question/28557178

#SPJ4

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In a survey, 56 percent of people surveyed stated truthfully that they were married, while 30 percent of the people surveyed who
lilavasa [31]

Answer:

15 surveyed

Step-by-step explanation:

8 0
3 years ago
Simplify this expression: -2x + 3 – (5 – 6x). Can someone pls explain how to do this dont just give the awnser
Verizon [17]

Answer:

-2x + 3 – (5 – 6x) = 4x - 2

Step-by-step explanation:

The given expression is :

-2x + 3 – (5 – 6x)

We need to simplify the above expression. First opening the brackets.

-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x

Taking like terms together,

= -2x+6x + 3 -5

= 4x - 2

So, the simplified expression is 4x - 2.

5 0
2 years ago
Cheryl is now x years old. Her cousin is ⅓ Cheryl’s age. Find her cousin’s age in terms of x.
nikklg [1K]

x/3= her cousins age

4 0
3 years ago
The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c
ivanzaharov [21]

Answer:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma= 500 represent the population standard deviation

n represent the sample size  

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The confidence2 level is 98% or 0.98 then the significance level would be \alpha=1-0.98=0.02 and \alpha/2=0.01, the critical value for this case would be z_{\alpha/2}=2.326, replacing into formula (b) we got:

n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94

So the answer for this case would be n=94 rounded up to the nearest integer

8 0
3 years ago
an article when sold at a profit of 5% yields rupees 50 more than when sold at a loss of 5% what was the cost price of the artic
ziro4ka [17]

I'm going to assume that the question should say “at a profit of 5%”.

Restate question in the form of a equation.

Let C = the cost price of the item.

C + 0.705 C = C - 0.05 C + Rs 50

0.05 C = - 0.05 C + Rs 50

0.10 C = Rs 50

C = Rs 500

The cost price of the item is Rs 500

I hope this help you

6 0
3 years ago
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