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lapo4ka [179]
3 years ago
8

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are

the coordinates of B' after the translation?
Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

B' = (-3,6)

Step-by-step explanation:

Given

A(4,5)

B(0,5)

C(3,-1)

<em>Translation: 3 units left and 1 unit right</em>

Required

Determine the new coordinates of B

Write out the coordinates of B

x = 0

y = 5

When a function is shifted to the left, we have to subtract the unit from the x value of the function;

<em>Shifting by 3 units left, the new x becomes </em>

<em />New\ x = 0 - 3<em />

<em />New\ x = -3<em />

<em />

When a function is shifted upward, we have to add the unit to the y value of the function;

<em>Shifting by 1 unit up, the new y becomes </em>

New\ y = 5 + 1

New\ y = 6

Hence, the new coordinates of B is

B' = (-3,6)

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Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,
MariettaO [177]

Answer:

ΔPTS≅ΔRTA by AAS axiom of congruency

Step-by-step explanation:

Consider ΔPQA and ΔRQS

∠PQA=∠RQS     (Vertically Opposite Angles)

∠QAP=∠QSR     (Complementary of two equal angles, ∠RAT and∠PST)

Due to angle sum property of a triangle, we come to the conclusion that

∠APQ=∠SRQ

Consider ΔPTS and ΔRTA

TA=TS  (Given)

∠RAT=∠PST(Given)

∠APQ=∠SRQ (Proved above)

Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.

8 0
3 years ago
on the football team, two out of every seven players are seniors. if the team has 84 players, how many are not seniors.
zaharov [31]

There are 60 players on football team that are not seniors.

Step-by-step explanation:

<u>Method 1:</u>

Given

Total students = 84

Also given that

2 out of 7 are seniors

Which is 2/7

So in order to find the total number of seniors we will multiply the whole number of students to 2/7

Senior\ students = \frac{2}{7} * 84\\= 24

So there are 24 seniors on the football team.

Players that are not seniors = 84 - 24 = 60

There are 60 players who are not seniors.

<u>Method 2:</u>

We can divide the total number by 7, to get how many sets of 7 players will be there

= 84/7 = 12

Now,

Multiplying 12 with 2 will give us the number of seniors in football team.

12*2 = 24 seniors

So,

Not seniors =84-24 = 60

Keywords: Percentage, Units

Learn more about percentage at:

  • brainly.com/question/4710621
  • brainly.com/question/4767370

#LearnwithBrainly

7 0
3 years ago
Ricky walked a total of 4 3/4
Helga [31]

Answer:

19

Step-by-step explanation:

Is he stop every 1/4 mile you get 19

There are 4 1/4 miles in every mile. 4x4(Equation of total 1/4th's in 4 miles) is 16. Add 3 more 1/4th's to get 19

Hope this helps!

7 0
3 years ago
In the equation 8x - 1=3x+4 the variable x represents the same value. Which value of x is the solution of the equation x = 0 1 2
OleMash [197]

the AnSwEr is

12 because 8x - 1=3x+4 the variable x represents the same value and x= 0

7 0
3 years ago
4/3 b + 2 equals 4 - 1/3 be​
DIA [1.3K]

I do not understand what you are asking but I am going to assume that you are trying to simplify the equation.

First, write the equation.

(4/3)b + 2 = 4 - (1/3)b

Add (1/3)b to each side.

(5/3)b + 2 = 4

Subtract 2 on each side.

(5/3)b = 2

Divide by (5/3) on each side

b = 1.2

b = 1.2 is your final answer.

3 0
3 years ago
Read 2 more answers
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