Which angles are congruent?? (Look at the picture)

Need answer asap

Kobotan [32]

Step-by-step explanation:

the area of a rectangle is

length × width.

so, in our case, it is

1/3 × 2/3 = (1×2)/(3×3) = 2/9 yd²

8 0

2 years ago

A white card has an 8 on one side and an unknown number on the other side.A red card has a 4 on one side with a different unknow

FromTheMoon [43]

Answer:

(10,5) and (9,6)

Step-by-step explanation:

•White card has 8 on one side and an unknown value on the other side. Let's take unknown value as p, i.e

Outcome of white card = (8, p)

•Red card has 4 on one side and unknown an the other side. Let's take q as the unknown figure on red card. I.e

Outcome of red card (4, q)

When the two cards are flipped the possible sum of their values will be:

•12 (8+4);

•8+q;

•4+p; and

•p+q

We are given that their sum values are 12, 13, 14 and 15

Therefore, let's now assume the following:

• 8+q = 13, or 8+q=14,

•4+p = 14, or 4+p = 13

Solving, we now have:

R1) 8+q = 13 => q= 13-8 = 5

or

R2) 8+q = 14=> q=14-8 = 6

W1) 4+p = 14 => p=14-4 = 10

or

W2) 4+p =13 => p=13-4 = 9

From the calculations, we can deduce that the two possible pair of values for the unknown nubers are:

(10,5) and (9,6)

5 0

4 years ago

Read 2 more answers

M ÷ n - 3 (m + n) with m=-10 and n=-2

avanturin [10]

Given:
m/n-3(m+n)
m=-10 and n=-2

Solving:

-10/-2-3(-10-2) Since m=-10 and n=-2, we substitute them in for the values since they have an equal relationship.

Now, follow Orders of Operations: PEMDAS

-10/-2-3(-12) Simplify parentheses (P)
There are no Exponents (E)
Multiplication (M) and Division (D) are =, so we do whatever operation comes from the left to right.
-10/-2=5 Division comes first on the left.
therefore:
5-3(-12)

-3(12)=-36, Multiplication is last on the right.
therefore:
5-36

5-36=-31 After M/D, we do Addition and Subtraction, which are also =, so we do them left to right.

Therefore -10/-2-3(-10-2)=-31

3 0

3 years ago

From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and Dunlop, pg 265. A thermostat used in an electri

Leviafan [203]

Answer:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

Step-by-step explanation:

Information given

data: 202.2 203.4 200.5 202.5 206.3 198.0 203.7 200.8 201.3 199.0

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=201.77$ represent the sample mean

$s=2.41$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =200$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to determine if the true mean is equal to 200, the system of hypothesis are :

Null hypothesis: $\mu = 200$

Alternative hypothesis: $\mu = 200$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic is given by:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

4 0

3 years ago

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented

Lilit [14]

The complete question is;

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?

A) They are parallel because their slopes are the same

B) They are not parallel because their slopes are the same

C) They are parallel because their slopes are opposite reciprocals

D) They are not parallel because their slopes are opposite reciprocals

Answer:

Option D: They are not parallel because their slopes are opposite reciprocals

Step-by-step explanation:

Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.

Now, the general formula for slope intercept is;. y = mx + c.

Where m is the slope and c is the y - intercept.

This means the slope of bamby is - 4 while that of Primrose is 8.

The slopes are not the same and so options A and B are not correct.

Now, -4 is an opposite reciprocal of 8/-2.

But an opposite reciprocal means that both lines on the graph are perpendicular to each other.

Thus, option C is wrong because they are not parallel.

So correct option is D.

7 0

3 years ago