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tatuchka [14]
3 years ago
9

The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4).

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0
The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4). The coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis <span>Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4). The answer is  letter B.</span>
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If mZBAC = (7x + 1) º and<br> mZBCA = (52 + 9) . what is the<br> measure of the vertex angle?
nata0808 [166]
<h3>Answer:  122 degrees</h3>

==========================================================

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

  • angle A = 7x+1 = 7*4+1 = 28+1 = 29
  • angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

3 0
2 years ago
Please make it correct..I need to pass this...
Sergio [31]
Simplify them all down to 5 then solve
6 0
2 years ago
Read 2 more answers
Simplify 3(6g+2) -5g
tresset_1 [31]

Answer:

13g +6

Step-by-step explanation:

3(6g+2) -5g

Distribute

18g +6 - 5g

Combine like terms

13g +6

4 0
2 years ago
Noah is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $2 per mi
d1i1m1o1n [39]

Answer:

$10.50

Step-by-step explanation:

We can make an equation

2.50+2x=?

x=4 because we are riding 4 miles.

so it's 2.5+2*4=?

let's solve

2.5+8=$10.50

8 0
2 years ago
Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second tr
dem82 [27]

Answer:

92.31 km

Step-by-step explanation:

Combined speed = 50+80

= 130 km/hour

Time = 100/130 = 10/13 hours to collide

Speed × time = distance

distance = 10/13 × 120

= 92.30769231 km

7 0
3 years ago
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