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Alecsey [184]
2 years ago
10

Which represents the solution set of 5 (x + 5) less-than 85

Mathematics
1 answer:
lapo4ka [179]2 years ago
5 0

Answer:

x < 12

Step-by-step explanation:

Step 1: Write out expression

5(x + 5) < 85

Step 2: Solve

5x + 25 < 85

5x < 60

x < 12

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Help!!
Xelga [282]

Answer:

D. 63%

Step-by-step explanation:

the white marble was picked out 41 of the 65 times, so 41/65

divide 41 by 65 in your calculator and you get .6307

then multiply it by 100 because it asked for a percentage and you get 63%

Ta-Da!

6 0
1 year ago
Read 2 more answers
Given: EL- tangent, EK- secant <br> Prove: EJ·LK = EL·LJ
drek231 [11]

Answer:

This is possible.

Step-by-step explanation:

We can say that m<E=m<E, because of the Reflexive Property

Then, we have angles JKL and ELJ, which are equal through the peripheral angle theorem.

With these two angles, we can say that triangles ELK and EJL are similar, by the Angle-Angle Postulate (AA).

Then we can create this ratio through the Corresponding Parts of Similar Triangles Theorem, (CPST), \frac{LK}{LJ} =\frac{EL}{EJ}.

With this ratio, we can cross multiply to get the desired result

EJ·LK=EL·LJ

Hope this helps with your RSM problem

Yup, i caught ya.

3 0
2 years ago
What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
Angelina_Jolie [31]

For this case we must find the value of the variable "x" of the following expression:

2 (3x-1) \geq4x-6

We apply distributive property to the terms within parentheses: 6x-2 \geq4x-6

We subtract 4x on both sides:

6x-4x-2 \geq-6\\2x-2 \geq-6

We add 2 to both sides:

2x \geq-6 + 2\\2x \geq-4

We divide between 2 on both sides:

x \geq \frac {-4} {2}\\x \geq-2

Answer:

x \geq-2

5 0
2 years ago
Read 2 more answers
A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far
qaws [65]

Answer: They will travel about 131.18 yards.

Step-by-step explanation:

Given : A football field is 120 yards long by 53 yards wide.

We know that a football field is rectangular in shape.

Each interior angle in a rectangle is a right angle.

Then, by Pythagoras theorem, we have

(Diagonal)² = (Length)² + (Width)²

If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-

(\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}

Hence, they will travel about 131.18 yards.

7 0
1 year ago
Kay buys 12 pounds of apples. Each pound costs $3.if she gives the cashier two $20 bills, how much change should she receive.
zlopas [31]

12 pounds x $3 = $36

$40 - $36 = $4

7 0
1 year ago
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