Answer:
C. 120
Step-by-step explanation:
The figure shows that angles BEC and KEC are congruent. Their measures are equal.
m<KEC = m<BEC
10x = 6x + 24
4x = 24
x = 6
m<BEK = 2m<KEC
m<BEK = 2 * 10x
m<BEK = 2 * (10)(6)
m<BEK = 2 * 60
m<BEK = 120
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (8, 4)
Point (3, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract:

- Simplify:

Answer:
To what?
Step-by-step explanation:
Answer:
The required co-ordinate is (-2, -5).
Step-by-step explanation:
For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be:
.
Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:

= (-2, -5)
The reflected point is (-2, -5).
Answer:
85 square inches
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo
My answer:
From the question, four congruent equilateral triangles with the following information:
=> The area of the quilateral triangle is:
=1/2*the base*the height
= 1/2*60.6*7
= 21.21 square inches
=> the surface area of Abby's decoration is:
= 4 * The area of the quilateral triangle
= 4*21.21
= 84.84 square inches
≈ 85 square inches
Hope it will find you well.