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o-na [289]
2 years ago
14

What is x + 3 = 10??

Mathematics
2 answers:
bulgar [2K]2 years ago
7 0
X + 3 = 10
x + 3 - 3 = 10 - 3
x = 7
SOVA2 [1]2 years ago
7 0
The answer to your problem or question is x = to 7
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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
Match the reasons with the statements in the proof to prove DF = EF, given that DEF is a triangle by definition and angles 3 and
icang [17]

Answer with explanation:

Given:

In Δ DEF, ∠3=∠4.

To prove:→ DE=E F

Proof:

1.  ∠3=∠4------[Given]

2. →∠1 and ∠ 3 are Supplementary to each other.

(a)⇒∠1 + ∠ 3=180°

 →∠2 and ∠ 4 are also Supplementary to each other.

(b)⇒∠2 + ∠ 4=180°

                                     --------------------[Exterior sides in opposite rays]

3. From 1 , a and b

 ⇒∠ 1 = ∠ 2-------[Two Angles Supplementary to equal Angles are equal to each other]

4. \Bar{DE}=\Bar{E F}

 If two angles of a Triangle are equal , then side opposite to these angles are equal.

6 0
3 years ago
Mrs. barney earns $80 for tutoring for 2 hours. If she gets a 10% raise, how much does she now earn per hour.
olga_2 [115]

Answer:$88


Step-by-step explanation:

multiply 80 dollars by 10% then add that answer to 80 dollars and that gives you 88 dollars


8 0
3 years ago
Three research departments have 9 , 6 , and 8 members, respectively. Each department is to select a delegate and an alternate to
erastova [34]
The should be 158 ways, because 9*8+8*7+6*5=158.
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Given n//m <br>prove m and 3 = m angle 5 ​
Alla [95]

Answer:

7

Step-by-step expla

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