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3 years ago

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics

2 answers:

velikii [3]3 years ago

7 0

Answer:

x = 27

Step-by-step explanation:

Since AC and DE are parallel lines, then

∠ BAD = ∠ EDF= 2x ( corresponding angles )

The sum of the 3 angles in Δ BAD = 180°, thus

2x + 2x + 72 = 180, that is

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

ICE Princess25 [194]3 years ago

3 0

Answer:

x = 27

Step-by-step explanation:

hope i helped

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What number is 150% of 92

Setler79 [48]

The answer is 138 because 92 * 150= 13,900 and 1*100= 100.
Then you divide 13,800 by 100 and get 138.

So the answer is 138.

Hope that helped. :) :0 :p :D :d

6 0

3 years ago

Read 2 more answers

Whats the solution of y = x +2 2x - 5y = 2

aleksandr82 [10.1K]

Answer:

x = -4, y = -2

Step-by-step explanation:

substitute for y

2x - 5(x + 2) = 2

distribute -5

2x -5x - 10 = 2

solve

-3x - 10 = 2

add 10 on both sides

-3x = 12

divide by -3

x = -4

now substitute for x in the equation y = x + 2

y = -4 + 2

y = -2

7 0

2 years ago

Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).

Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4 23 - 70 16

↓ - 32 72 - 16

---------------------------------

4 - 9 2 0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

8 0

3 years ago

2) Evaluate the given numerical expression. A) 9 B) 12 C) 14 D) 21

eduard

Answer:

$\boxed{\sf{14}}$

Step-by-step explanation:

$\boxed{\underline{\text{ORDER OF OPERATIONS:}}}$

Use the order of operations.

Note: PEMDAS or BODMAS stands for:

PEMDAS

Parentheses
Exponents
Multiply
Divide
Add
Subtract

BODMAS

Brackets
Order
Divide
Add
Subtract

First, do parentheses.

3+6*(5+4)÷3-7

(5+4)=9

$\Longrightarrow: \sf{3+6* 9\div 3-7}$

Do multiply and divide.

6*9=54

54/3=18

Then, rewrite the problem down.

$\Longrightarrow: \sf{3+18-7}$

Add.

$\sf{3+18=21}$

$\sf{21-7=\boxed{\sf{14}}$

$\Longrightarrow: \boxed{\sf{14}}$

Therefore, the correct answer is "C. 14".

I hope this helps, let me know if you have any questions.

8 0

2 years ago

Find the distance between (-7,-2) and (11,3)

jarptica [38.1K]

Answer:

The answer is

<h2> $\sqrt{349} \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7,-2) and (11,3)

The distance between the points is

We have the final answer as

<h3> $\sqrt{349} \: \: units$ </h3>

Hope this helps you

5 0

3 years ago