All categories

3 years ago

Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is °.

Mathematics

1 answer:

kondaur [170]3 years ago

5 0

Answer:

180 degrees

Step-by-step explanation:

Supplementary means the 2 angles sum equals 180 degrees.

You might be interested in

N is an odd number.

nikitadnepr [17]

Answer:

True:

Step-by-step explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

$3^{2} -1=9-1=8$

Plug 3 into B:

$3(3-1)=9-3 = 6$

Plug 3 into C:

$(3-2)^{2} = 2^{2} = 4$

Plug 3 into D:

$3^{2} +2 = 9+2=11$

Plug 3 into E:

$3(3-2) = 9-6 = 3$

Plug 3 into F:

$(3-2)^{2}=1^{2} =1$

3 0

2 years ago

What numbers do you multiply to find 900 this partical product

Bad White [126]

You mean square root of 900?

I gotcha covered

7 0

2 years ago

Six times a number is at least four less than eight times the number. If x represents the number, which will help find the numbe

jeyben [28]

Answer:

The inequation 6x ≥ 8x - 4 can be used to find the solution.

The solution is x ≤ 2

Step-by-step explanation:

If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4

6x ≥ 8x - 4

Solving the inequation;

Subtracting 6x each side:

0 ≥ 8x - 6x -4

Summing 4 each side

4 ≥ 2x

Dividing by 2 each side

2 ≥ x

2 greater or equal than x is the same as:

x ≤ 2

5 0

4 years ago

) The National Highway Traffic Safety Administration collects data on seat-belt use and publishes results in the document Occupa

asambeis [7]

Answer:

We conclude that there is a difference in seat belt use.

Step-by-step explanation:

We are given that of 1,000 drivers 16-24 years old, 79% said they buckle up, whereas 924 of 1,100 drivers 25-69 years old said they did.

Let $p_1$ = population proportion of drivers 16-24 years old who buckle up .

$p_2$ = population proportion of drivers 25-69 years old who buckle up .

So, Null Hypothesis, $H_0$ : $p_1-p_2$ = 0 {means that there is no significant difference in seat belt use}

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq$ 0 {means that there is a difference in seat belt use}

The test statistics that would be used here Two-sample z proportion statistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of drivers 16-24 years old who buckle up = 79%

$\hat p_2$ = sample proportion of drivers 25-69 years old who buckle up = $\frac{924}{1100}$ = 84%

$n_1$ = sample of 16-24 years old drivers = 1000

$n_2$ = sample of 25-69 years old drivers = 1100

So, test statistics = $\frac{(0.79-0.84)-(0)}{\sqrt{\frac{0.79(1-0.79)}{1000}+\frac{0.84(1-0.84)}{1100} } }$

= -2.946

The value of z test statistics is -2.946.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a difference in seat belt use.

4 0

3 years ago

G is the centroid of triangle ABC.

AleksAgata [21]

Answer:

x = 37
DG = 22
AG = 44
AD = 66

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

(x+7) = 2(x -15)

x + 7 = 2x - 30 . . . . eliminate parentheses

37 = x . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Of course, AD = AG +GD = 44 +22 = 66

7 0

3 years ago

Read 2 more answers