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zheka24 [161]
2 years ago
12

Congruency

Mathematics
1 answer:
maria [59]2 years ago
8 0

Answer:

a.)They are oppositely congruent

Step-by-step explanation:

This is because when they are oppositely fitted they match

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Slicing absolute value what is |-3x|=18?
kow [346]

|-3x|=18\iff-3x=18\ \vee\ -3x=-18\qquad|:(-3)\\\\\boxed{x=-6\ \vee\ x=6}

3 0
3 years ago
2. Garrett wants to know what percentage of students at his school would be interested in organizing a
tresset_1 [31]

Answer:

B

Step-by-step explanation:

This is because he would find the most students in the cafeteria. It is not A because not everyone goes to basketball games. It's not C because you're looking for where you will find the most students. And it's not D because thats local and he is trying to find how many students want to organize a club NOT random people at a movie theater.

8 0
3 years ago
(08.03) Consider the following pair of equations:
Luba_88 [7]

Substitution method is used to solve the linear system of equations for one or more variables.

Consider the first equation y = 3x + 3 -----(1)

In equation (1) plug in y=x-1, we get

x -1 = 3x + 3

Add -3x on both side , we get

x-3x -1 = 3x-3x +3

-2x-1=0 + 3

Now add +1 on both sides, we get

-2x-1+1= 3+1

-2x + 0 =4

Now divide both side by -2

-2x/-2= 4/-2

X= -2

Now put x=-2 in the the second equation,

y=x-1

y=(-2)-1

y=-3

Solution(-2,-3)

6 0
3 years ago
You are making 10 tons of concrete that is 37.9% cement by mixing a 25% cement mixture with a 68% cement mixture.
Mnenie [13.5K]
The 10 tons should have 37.9% cement.

Let the 25% mixture be x tons

Then the 68% mixture will be (10 -x) tons.

Using formula for mixtures:
Let p for percentage and w for weight in tons.

p₁w₁ + p₂w₂ = pw

25*x + 68*(10-x) = 37.9*10

25x + 680 - 68x = 379

680 - 43x = 379

680 - 379 = 43x

301 = 43x

43x = 301

x = 301/43

x = 7

Recall that x, was for the 25% mixture, 7 tons.

a) For the 68% mixture, = 10 - x = 10 -7 = 3 tons.

b) For the 25% mixture = x = 7 tons.  
6 0
3 years ago
Consider a left-tailed test, where the p-value is found to be 0.10. If the sample size n for this test is 49, then the t statist
tigry1 [53]

Answer:

df=n-1=49-1=48  

We know that the p value is 0.1, and since is a left tailed test would be given by:

p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

Step-by-step explanation:

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the true mean is lower than specified valu \mu_o, the system of hypothesis would be:  

Null hypothesis:\mu \geq \mu_o  

Alternative hypothesis:\mu < \mu_o  

Compute the test statistic  

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can find the degrees of freedom for this test given by:

df=n-1=49-1=48  

We know that the p value is 0.1, and since is a left tailed test would be given by:

p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

3 0
3 years ago
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