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spayn [35]
3 years ago
13

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

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Which operation should be done first to find the value of the expression: 18 + 5 x 42 = 2
Neko [114]

Answer:

Multiplication

Step-by-step explanation:

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

If you have both multiplication/division or addition/subtraction left, ALWAYS work left to right.

Since there are no parentheses or exponents you do the multiplication first

6 0
3 years ago
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What is the answer to 2(9+7)
FrozenT [24]

Answer: 32

Step-by-step explanation:

1.) Write the initial equation: 2(9+7)

2.) Add the values in the parentheses: 2(16)

3.) Multiply the value in the parentheses by 2: 2(16) = 32

5 0
3 years ago
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It is now twenty-seven minutes past six. What time will it be in 3 hours and 25 minutes?
stealth61 [152]

Answer:

9:52

Step-by-step explanation:

First, let's rewrite "twenty-seven minutes past six", into a standard digital clock form. We could write 6:27. Now, it's easier to see that if we add 3 hours first, we would get to 9:27. And then if we add 25 minutes, we will get to 9:52.

5 0
3 years ago
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Triangle ABC had a perimeter 18 cm
Anna007 [38]

Answer:

Use pythagoreum theorem to determine whether it is or isn't since I'm not really sure myself but here's my calculations.

Step-by-step explanation:

We need to find AC.

Picture a triangle called ABC. AB is one side and BC the other while AC is the hypotenuse.

AC=

ac =  \sqrt{ab ^{2}  +  {bc}^{2} } \\ ac = \sqrt{ {7}^{2} }  +  {3}^{2}  \\ ac =  \sqrt{49 + 9}  \\ ac =  \sqrt{58 }  \\ ac = 7.6

Round up the 7.6 to a whole number and you get AC=8. To get perimeter of a triangle simply add the sides together to get 18.

Not really sure about my answer but hope this helped.

5 0
2 years ago
. Each of the following has 9 as a factor except<br> A) 18018 B) 18 081 C) 81 180<br> D) 81 181
Arlecino [84]

Answer:

d

Step-by-step explanation:

81181÷9=9020.111111

every other number has a whole number as an answer not a decimal

4 0
3 years ago
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