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vladimir1956 [14]
3 years ago
9

Line segment AB has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A′B′

. What is the length of A′B′?
1 unit
2 units
3 units
5 units
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0
The length of a'b' is the same as ab because it is the same image so it is 3 units
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HELP NEEDED ASAP WILL GIVE 5 STAR RATING AND BRAINLIEST!
stealth61 [152]

Answer:

The answer to your question is: ∠K   = 138°

Step-by-step explanation:

m∠N = 42°

m∠K = ?

The sum of all the internal angles in a quadrangle equals 360°

then

        ∠N + ∠L + ∠M + ∠K = 360°

        ∠N = ∠ L   and ∠M = ∠K

So, 2 ∠N + 2 ∠K = 360

Substitution

       2 (42) + 2 ∠K = 360

       84  + 2 ∠K = 360

       2 ∠K = 360 - 84

       2 ∠K = 276

      ∠K  = 276 / 2

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8 0
2 years ago
Three consecutive integers have a sum of 78. find the inte
VMariaS [17]
Let the 3 numbers be x,x+1,x+2
Given sum of those 3 consecutive integers are 78
X+x+1+x+2=78
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3(x+1)=78
X+1=26
X=26-1
X=25

Therefore the numbers are 25,26,27
5 0
3 years ago
Read 2 more answers
For each question, each pair of triangles are similar but not drawn to scale. Calculate any lettered lengths.
Karolina [17]

Answer:

a. 20

b. 5

Step-by-step explanation:

The scale factor is 5 because 6×5=30

a. 4×5=20

b. 25÷5=5

8 0
2 years ago
There are 12 pizzas on the table. Each pizza is cut into pieces. Each piece is
IRINA_888 [86]

Answer:

tgere would be 72 slices.

Step-by-step explanation:

12/1÷1/6

12/1×6/1

72/1

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3 years ago
Graph the function.
RideAnS [48]

Answer:

\displaystyle{y=-3x-1}

Step-by-step explanation:

I have two methods: <u>standard-learning</u> which will explain overall mathematically - basically formula, etc. - while the other one <u>trick-tips</u> method will rely on choices rather mathematical calculations but with explanation on <em>why</em> and <em>how.</em>

<h3>Standard-Learning</h3>

First, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.

When we have finally picked two points, we will be using them for <u>slope calculation</u>. This part is <u>crucial</u> for finding an equation of a line because a line has to contain slope in its equation.

To calculate the slope, we use rise over run formula which is:

\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}

Note that \displaystyle{\Delta} is delta - in both mathematic and physics, it means <u>changes in</u>.

So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that \displaystyle{(x_2,y_2)=(-1,2)} and \displaystyle{(x_1,y_1)=(0,-1)}.

Therefore, our slope will be:

\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}

Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.

From the slope-intercept form:

\displaystyle{y=mx+b}

Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:

\displaystyle{y=-3x-1}

<h3>Fast Way (Trick-Tips)</h3>

Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.

Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.

Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.

Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.

So choice 4 is cut off and now we have choice 2 as the answer.

Learn More:

brainly.com/question/27514958 - Find the line equation with given points

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