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Ugo [173]
2 years ago
12

Find the measure of angle 1

Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

Answer:

44°

Step-by-step explanation:

8x - 4 = 6x + 8 (This is because they are corresponding angles)

8x - 6x = 8 + 4

2x = 12

x = 12 ÷ 2

x = 6

6x + 8 = angle 1 (Vertically opposite angles are equal)

Substitute the value of x in the equation '6x +8' to get the size of the angle.

6 × 6 + 8

36 + 8 = 44°

Angle 1  =  44°

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Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
2 years ago
What conclusion can be made based on this multiplication problem?
Mademuasel [1]

Answer: Your answer is D

Step-by-step explanation: pls mark me as brainiest and 7 x 3 = 21 or 21 / 3 = 7

4 0
2 years ago
Write y= x^2 - 4x + 6 in vertex form . NEED ASAP!! please !!
worty [1.4K]
First, complete the square.
y = (x^2 - 4x + 4) + 2
y = (x - 2)^2 + 2
There you go. Have a nice day! :)
6 0
3 years ago
Solve the following inequality:
ad-work [718]

Answer:

The answer is option 3.

Step-by-step explanation:

In order to solve the inequality, you have to get rid of -3 by adding 3 to both sides :

k - 3 \leqslant 9

k - 3 + 3 \leqslant 9 + 3

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4 0
3 years ago
Da<br> A<br> Solve the equation 2x^2+3=0
Anika [276]

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Solving quadratics

<u>Algebra II</u>

Imaginary root i

  • √-1 = i

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x² + 3 = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 3 on both sides:                        2x² = -3
  2. [Division Property of Equality] Divide 2 on both sides:                                  x² = -3/2
  3. [Equality Property] Square root both sides:                                                    x = ±√(-3/2)
  4. Simplify:                                                                                                             x = ±i(√6 / 2)
4 0
3 years ago
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