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4 years ago

12

× + 3 = 7 show how you got the answer

2 answers:

Mumz [18]4 years ago

6 0

Answer:

x=4

Step-by-step explanation:

x+3=7

First, subtract 3 from both sides

7-3=4

So x=4

CHECK:

Substitute x with 4

4+3=7

julia-pushkina [17]4 years ago

3 0

Answer:

7-3=x

x=4

Step-by-step explanation:

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Let (3x+24) represent the measure of an obtuse angle. what are the possible values of x?

Fofino [41]

An obtuse angle is an angle with more than 90 degrees and less than 180. so, we can add < 180 and > 90 to the expression, making it the inequality 180 < 3x + 24 > 90. we then solve.

3x + 24 > 90 and 3x + 24 < 180
3x > 66 and 3x < 156
x > 22 and x < 52

so x can be anything more than 22 and less than 52 (it cannot be 52 or more or 22 or less)

hope this helps!

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3 years ago

Sam is playing basketball and his position on a coordinate plane is given as (3,6). He dodges other players by moving 5

Diano4ka-milaya [45]

So to my calculations of copping the other guy it’s -1/-3

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3 years ago

Write an equation of the perpendicular bisector of the segment with endpoints Q(−2,0)

olga nikolaevna [1]

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Step-by-step explanation:

Given points are:

$Q(-2,0)\ and\ R(6,12)$

First of all, we have to find the slope of the given line

So,

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

$m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

$m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}$

The bisector will pass through the mid-point of QR

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)$

Slope-intercept form of equation is:

$y = m_2x+b$

Putting the value of slope

$y = -\frac{2}{3}x+b$

Putting (2,6) in the equation

$6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}$

So,

$y = -\frac{2}{3}x+\frac{22}{3}$

Hence,

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Keywords: Mid-point, equation of line

Learn more about equation of line at:

#LearnwithBrainly

3 0

3 years ago

Perform the Indicated operatlon.<br>(-10) ÷ (-20)<br>a)-2<br>b)2<br>c)1/2<br>d)-1/2

Nuetrik [128]

Answer:c

Step-by-step explanation of the

(-10)/(-20)

-1/(-2)

Negative sign result in positive result, so

1/2; c

4 0

4 years ago

A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit

zhuklara [117]

Answer:

25%

Step-by-step explanation:

let the MP be x

sp without vat =x-16%of x

= 21x/25

sp with VAT = 21x/25 +13% of 21x/25

rs 9492 = 2373x/2500

( 9492*2500)/2373=x

x = 10000

cp = ((21x/25 )*100)/100+5 ( 5= profit percent )

=8000

(10000-8000)×100%/8000

=25%

7 0

3 years ago