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bazaltina [42]
2 years ago
12

How do you solve this step by step?

Mathematics
2 answers:
SashulF [63]2 years ago
5 0

ΔIJK ≈ ΔPQR => ∡I = ∡P =>

=> 3X + 4 = 72 - X

3X + X = 72 - 4

4X = 68

X = 68 : 4

X = 17

Licemer1 [7]2 years ago
4 0

Answer:

since the triangles are congruent, and you're given the measures of \angle I \text{and} \angle P which are "corresponding part of the congruent triangles" so they must be equal

hence,

m\angle I = m\angle P \\ \implies 3x+4=72-x \\ \implies 4x=68 \\ \implies x=17°

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Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par
ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

8 0
2 years ago
You work two jobs. You earn $9.45 per hour as a salesperson and $11.34 per hour stocking shelves. Your combined earnings this mo
konstantin123 [22]

Answer:

11.34x + 9.45y = 141.75

y = (141.75 - 11.34x)/9.45

y = -1.2x + 15

Draw a straight line only in the first quadrant connecting these points:

(0,15)

(12.5,0)

6 0
3 years ago
Find the midpoint of the line segment with the endpoints (1, 0) and (2, -10).
Mariulka [41]

Answer:

\bigl(\frac{3}{2},-5\bigr)

or in decimal form

(1.5,-5)

Step-by-step explanation:

The midpoint of the line with endpoints (x_1,y_1) and (x_2,y_2) is \bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr). just take the average between the points

so given the points (1,0) and (2,-10)

x_1=1

y_1=0

x_2=2

y_2=-10

the midpoint is found as follows:

\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)

\bigl(\frac{1+2}{2},\frac{0-10}{2}\bigr)

\bigl(\frac{3}{2},\frac{-10}{2}\bigr)

\bigl(\frac{3}{2},-5\bigr)

or in decimal form

(1.5,-5)

7 0
3 years ago
Solve<br>4(2x - 3) = 6x + 2​
Aleks [24]
X=7 hope it helps!!!!
8 0
2 years ago
Read 2 more answers
keith made $306.00 for 18 hours of work at the same rate how many hours would he have to work to make $204.00
Mice21 [21]
306 / 18 = 17
So he's on $17 / hour

$204 / $17 = 12.
Therefore he'd make $204 in 12 hours.
4 0
3 years ago
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