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Mekhanik [1.2K]

3 years ago

9

On a blueprint, the scale is 1/2 inch= 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 fee

t? Then find the scale factor.

1 answer:

dsp733 years ago

4 0

11 inches by 8.5 inches

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For each of the figures, write Absolute Value in the form |x-c|=d, where c and d are some numbers, to satisfy the solution set.

Vadim26 [7]

Answer:

$(a)$ $|0 - 8| = 8$

$(b)$ $|-4 - 6| = 10$

Step-by-step explanation:

Given

Attached number lines

Required

Express as: $|x - c| =d$

The two points on the number line represent x and c (in no particular) respectively.

Solving (a):

Let:

$x = 0$

$c = 8$

So:

$|x - c| =d$

$d =|0 - 8|$

Solve the expression in the absolute bracket

$d =|- 8|$

Remove absolute bracket

$d = 8$

So: the expression is;

$|0 - 8| = 8$

Solving (b):

Let:

$x = -4$

$c = 6$

So:

$|x - c| =d$

$d = |-4-6|$

Solve the expression in the absolute bracket

$d = |-10|$

Remove absolute bracket

$d = 10$

So: the expression is;

$|-4 - 6| = 10$

8 0

3 years ago

one angle has a measure that is less than 15 than two times a number. a second angle is three times the number. the angles are c

adell [148]

Answer:

27 degrees and 63 degrees

Step-by-step explanation:

Let n be the number.

Angle 1: 2n-15

Angle 2: 3n

If the angles are complementary they add up to 90.

Therefore we can write an equation.

2n-15+3n=90

Combine like terms

5n-15=90

Add 15 to both sides

5n=105

n=21

Now we plug 21 in for n and solve for the angles

Angle 1 = 2(21)-15

Angle 1 = 42-15

Angle 1 = 27

Angle 2 = 3(21)

Angle 2 = 63

4 0

2 years ago

Which equation represents a proportional relationship?

AnnyKZ [126]

Answer:

I think its "A"

3 0

3 years ago

Lisa want to ask her mom if he can buy ticket to the carnival with her friend if he saved 45.67 and each ticket cot 5.50 how man

olasank [31]

$8.00 if you round it up

4 0

3 years ago

Read 2 more answers

Given: is an angle bisector of ∠JMK<br><br><br>Prove: m

astraxan [27]

Answer:

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

Given: MN is angle bisector,

then

$\angle JMN \cong \angle NMK$ ....... [1]

Congruent angles are two or more angles that have the same measure.

then;

by definition of congruent angles

[1]⇒ $m\angle JMN = m\angle NMK$ ......[2]

By the Angle addition postulates states that if M is in the interior of ∠JMK then,

$m\angle JMN+m\angle NMK =m\angle JMK$ ......[3]

Now, by substitution property ; substitute the equation [2] in [3] we get;

$m\angle JMN+m\angle JMN =m\angle JMK$ ......[4]

Like terms terms whose variables are the same

Combine like terms in equation [4] we get

$2 \cdot m\angle JMN=m\angle JMK$ ......[5]

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 2 to both sides in equation [5] , we get

$m\angle JMN= \frac{1}{2} m\angle JMK$

5 0

3 years ago