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Gennadij [26K]
2 years ago
13

Use substitution to solve the system. 2x-5(3x-7)=22

Mathematics
2 answers:
givi [52]2 years ago
8 0
I hope it’s helpful. y = 2x + 5 x = 1
katovenus [111]2 years ago
3 0
2x+5x=1 I hope this is helpful and sorry if I’m wrong
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Clara estimates that the length of a hiking trail is 10 km. She later learns that its actual length is 12 km. What is the percen
Reil [10]
Hold on im figuring it out now

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Coverline%7BAB%7D" id="TexFormula1" title="\overline{AB}" alt="\overline{AB}" align="absmidd
ad-work [718]

Answer:

B: 65°

Step-by-step explanation:

Step 1:

AB ║ ED      Given

Step 2:

∠E = 65°      Given

Step 3:

∠ABC = 65°    Alt. Int. ∠'s   ( Alternate Interior ∠'s)

Answer:

B: 65°

Hope This Helps :)

8 0
3 years ago
Read 2 more answers
Dennis is cutting construction paper into rectangles for a project he needs to cut one rectangle that is 12 inches times 15 1/4
Nataly_w [17]

Answer:

Dennis need 288.91 square inches of construction paper for his project.

Step-by-step explanation:

Dennis is cutting construction paper into rectangles for a project.

He needs to cut one rectangle that is 12 inches times 15 1/4 inches

First convert the mixed fraction to improper fraction

15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}

So the area of 1st rectangle is

A_1 = 12\times \frac{61}{4} = 183 \: in^{2}

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""

The symbol " means inches

First convert the mixed fraction to improper fraction

10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}

10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}

So the area of 2nd rectangle is

A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}

The total construction paper needed for this project is

A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}

Therefore, Dennis need 288.91 square inches of construction paper for his project.

6 0
3 years ago
There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0
3 years ago
If you pay $43 for a set of Pokémon cards online that were listed for $40 what is the tax percent you were charged
Alex777 [14]

Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

3 0
2 years ago
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