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3 years ago

Three times the greater of two consecutive odd integers is five less than four

Mathematics

1 answer:

Sergio [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Let the smallest integer (odd) be 2x + 1

Let the larger of the integers be 2x + 3

3*(2x + 3) = 4(2x + 1) - 5 remove the brackets

6x + 9 = 8x + 4 - 5 Combine

6x + 9 = 8x - 1 Add 1 to both sides

6x + 9 + 1 = 8x Combine

6x + 10 = 8x Subtract 6x

10 = 2x Divide by 2

10/2 = x

x = 5

So the smaller odd number is 2x + 1 = 2*5 + 1 = 11

And the larger off number = 2x + 3 = 2*5 + 3 = 13

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Need help simple explanation if possible

photoshop1234 [79]

Answer:

m < A = 60º

m < B = 30º

Step-by-step explanation:

The given sides on this triangle are: 6, $6\sqrt{3}$ , and 12

Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:

x, $x\sqrt{3}$ , 2x

We can line this up with the given sides. If x is 6, then 2x would be 12.

x : $x\sqrt{3}$ : 2x = 6 : $6\sqrt{3}$ : 12

Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.

m < B = 30º

Solving for < A:

Method 1) Sum of Angles in a Triangle

Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.

180º - 90º - 30º = 60º

m < A = 60º

Method 2) Using the second part of the proportion

Since m < A is across from the second largest side, we know that it is equal to $x\sqrt{3}$ ( $6\sqrt{3}$ in this question) or 60º in the angle proportion.

This means that m < A = 60º

Let me know if you have any questions!

4 0

2 years ago

Read 2 more answers

1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are

Aleksandr-060686 [28]

Answer:

Do you have any Images?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help answer please!!

12345 [234]

Answer:

h = 19.7 ft.

Step-by-step explanation:

Use the Pythagoras Theorem

$(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\\\(20)^2=(3.5)^2+(h)^2\\400=12.25+h^2\\400-12.25=h^2\\387.75=h^2\\$

Now we take square root on both sides,

$\sqrt{387.75} =\sqrt{h^2}\\19.69=h\\h=19.7\ ft\\$

so the value of h equals 19.7 ft.

6 0

2 years ago

Please help with this & show your working out to get brainliest. And please don’t trick me.

timurjin [86]

The lowest is the square root of 9 which is 3. After that is 3.15, 13/4 (3.25), 3 1/2 (3.50). My explanation would be: first I found out the square root of 9. Then divided 13 by 4.

7 0

2 years ago

Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the f

Illusion [34]

Answer:

$8\%$

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping $\frac{6}{75}=0.08$ of the total. To convert this to a percentage, multiply by 100: $0.08\implies 0.08\cdot 100=\boxed{8\%}$

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2 years ago

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