Which of the following could be used to prove the triangles are congruent?

Which point is the image of B(3, 7) after a reflection in the x-axis?

galben [10]

option B is the answer.

B)B'(3,-7)

3 0

3 years ago

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Each set of three points is collinear. Find each missing x- or y-value. Enter each answer to the nearest hundredth. (6, 10.2), (

Dima020 [189]

Considering that the points are part of the same linear function, the missing x-value is given by:

a. 1.1.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we are given points (6, 10.2) and (1.5, 3.45), hence the slope is:

m = (10.2 - 3.45)/(6 - 1.5) = 1.5.

Hence:

y = 1.5x + b.

When x = 6, y = 10.2, hence we use it to find b as follows:

10.2 = 1.5(6) + b

9 + b = 10.2

b = 1.2.

Hence the function is:

y = 1.5x + 1.2.

The value of x when y = 2.85 is given by:

y = 1.5x + 1.2.

2.85 = 1.5x + 1.2.

1.5x = 1.65.

x = 1.65/1.5

x = 1.1.

Hence option A is correct.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0

2 years ago

A toy manufacturer surveyed 50 of their employees about their vacation plans. It was found from the Random sample that 20 employ

german

Answer:

236 employees will be expected to go on two vacations

Step-by-step explanation:

kindly see the attached file for more explanation

5 0

3 years ago

Can someone please help me with one or both of these problems, I'm so confused but the assignment is due soon!!

Firlakuza [10]

Answer:

First question: 1270

Second question: 4080

Step-by-step explanation:

Here is the Sum formula:

$S_{n}=\frac{n}{2}(a_{1}+a_{n})$

where n represents the number of terms, and

$a_{1}$ is the first term, and $a_{n}$ is the last term.

Let's look at the first question:

k is the first number of the sequence, 5, and 20 is the last number of the sequence.

You can find the first term ( $a_{1}$ ) by substituting k in the formula for 5.

3(5)+26=15+26=41

You can find the last term ( $a_{n}$ ) by substituting k for 20 into the formula.

3(20)+26=60+26=86

now, knowing there are 20 terms in total, $a_{1} =41$ , and $a_{n} =86$ , we can put it into the Sum formula.

$S_{20}= \frac{20}{2} (41+86)$

$S_{20}= \frac{20}{2} (127)$

$S_{20}= 10 (127)$

$S_{20}= 1270$

Answer to the first question: 1270

Next question:

Even though the given formula uses n as the variable, this problem works the same way as the previous one.

Substitute n in the formula for k, which is 5 to find the first term: 14(5)+29=99

Substitute 20 for n to find the second term: 14(20)+29=309

Now assemble the Sum formula:

$S_{20}= \frac{20}{2} (99+309)$

$S_{20}= \frac{20}{2} (408)$

$S_{20}= 10(408)$

$S_{20}=4080$

Answer to the second question: 4080

5 0

3 years ago

Which expression is equivalent to 6(3x+4)

quester [9]

The answer is B......

3 0

3 years ago

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