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Evgen [1.6K]
3 years ago
11

Write an algebraic expression in standard form for the shaded area of the following shape

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

x² + 7x + 12

Step-by-step explanation:

The area of a rectangle = length × width

here length = x + 4 and width = x + 3, hence

A = (x + 4)(x + 3)

Each term in the second parenthesis is multiplied by each term in the first parenthesis.

A = x(x + 3) + 4(x + 3) ← distribute each parenthesis

A = x² + 3x + 4x + 12 ← collect like terms

A = x² + 7x + 12 ← in standard form

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The figure below shows a rectangle ABCD having diagonals AC and DB. ​
Keith_Richards [23]

Answer:  b) ΔADC ≡ ΔBCD by SAS

<u>Step-by-step explanation:</u>

Step 1: AD = BC                     SIDES are congruent

Step 2: ∠ADC ≡ ∠BCD          ANGLES are congruent

Step 3: DC = DC                    SIDES are congruent

The proof is using Side-Angle-Side (SAS)

Look at the angles in step 2.  These are the triangles you are proving congruency for: ΔADC ≡ ΔBCD

4 0
3 years ago
If mrs. rodriguez eats 14 crackers a day. how many crackers will she eat in 3 weeks?
solong [7]
14 x 7=98
98 x 3= 294
8 0
3 years ago
Read 2 more answers
Use the table to write a linear function that relates y to x.
blsea [12.9K]

Answer:

y = - \frac{2}{3} x

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table

m = \frac{-4-2}{1-(-8)} = \frac{-6}{1+8} = \frac{-6}{9} = - \frac{2}{3}

the ordered pair (0, 0 ) indicates the line crosses through the origin, then

c = 0

y = - \frac{2}{3} x + 0 , that is

y = - \frac{2}{3} x ← equation of linear function

4 0
2 years ago
I have a box of 24 different types of cup cakes. 1⁄2 of the cupcakes are vanilla. 1⁄8 of the cupcakes are strawberry. And the re
AlexFokin [52]

Answer:

21 7/8 is choclate

1/2 or 2 is vanilla

1/8 is strawberry

Step-by-step explanation:

1/2 x 4 is is 2

1/8 < 2

2 of the cupcakes (into eights) are vanilla from which a dominatorof 8

2 plus 1/8 is 2 1/8

24 - 2 1/8 is 21 7/8

8 0
3 years ago
Which of the following angles is not coterminal with the other three?
jekas [21]

9514 1404 393

Answer:

  b.  17°

Step-by-step explanation:

All of the angles are 2nd-quadrant angles except 17°, which is a 1st-quadrant angle.

  17° is the odd angle

__

When you compute ...

  mod(angle, 360), you get 163, 17, 163, 163.

4 0
3 years ago
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