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dsp73
3 years ago
11

ABC is a straight line.

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0

Answer:

Step-by-step explanation:

What is known....AC=75      AB=4 times BC   AB+BC=AC

4(BC)+BC=75        Add like numbers

4(BC)+BC=5BC

5(BC)=75       get the variable(BC) alone by dividing both sides by the number(5)

5(BC)/5=75/5  Then simplify....5(BC)/5=(BC)  and 75/7=15

(BC)=15

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Firlakuza [10]
Hey there! :D

Use the distributive property.

a(b+c)= ab+ac

6(9x+2)+2x

54x+12+2x

56x+ 12 <== equivalent expression

I hope this helps!
~kaikers
4 0
3 years ago
What is the value of x​
Len [333]

Answer:

X=70

Step-by-step explanation:

Interior angles of parallel line sum up to be 180° so:

45+(2x-5)=180

45+2x=185

2x=140

x=70

3 0
3 years ago
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Answer:

c. 45d+.25m

Step-by-step explanation:

3 0
3 years ago
Two angles of a quadrilateral are of measures 75° and 117° respectively and the other two angles are equal find the measure of e
insens350 [35]

<u>Answer:</u>

<u>Step-by-step explanation:</u>

The sum of interior angles of a quadrilateral is 360°.

If we consider the measure of one of the unknown angles to be x°, we can set up the following equation:

x + x + 75^\circ + 117^\circ = 360^\circ

Now we can solve for x:

⇒ 2x + 192^\circ = 360^\circ

⇒ 2x = 360^\circ - 192^\circ        [subtracting 192° from both sides]

⇒ 2x = 168^\circ

⇒ x = \frac{168^\circ}{2}                      [dividing both sides by 2]

⇒ x = \bf84^\circ

Therefore, the other two angles each have a measure of 84°.

4 0
2 years ago
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