Hi Bre,

Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
- ...
- ∡4 ⇔ ∡8

We're given the angle of ∡7, which is 114°. We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.

From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°

-Hope this helps!

6 0

3 years ago

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Rewrite 7.25 as a mixed number in lowest terms. 7 25/100 7 2/5 7 1/5 7 1/4

Galina-37 [17]

7.25 = 7 and 25/100 = 7 and 1/4

4 0

4 years ago

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13(x - 3)=39 what is answer

artcher [175]

X = 6 after distributing then adding 39 to both sides and then divide by 13

8 0

3 years ago

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Question: is 1 > 0.99999999...? Prove algebraically.

Crazy boy [7]

No. We claim that $1=0.\overline{9}$ and use algebra to prove the statement.

Let $x=0.\overline{9}$ . Multiply this by ten to get $10x=9.\overline{9}$ . Subtract the initial equation to give $9x=9$ and divide by $9$ to see that $x=1$ . Substituting into the original equation gives $1=0.\overline{9}$ , proving the desired statement.

6 0

3 years ago