Answer:
arc GM = 77°
Step-by-step explanation:
full circle = 360°
arc GMH = arc GNJ, so:
arc GMH = (360°- 52°)/2 = 154°
because line MP is perpendicular to line GH, arc GM = arc MH
arc GM = 154°/2 = 77°
50 is the answer.
We know that 60% is equal to 0.60. We don’t need to write the extra 0 in the end, so we can just write 0.6
. So, the question is saying that 30 is 0.6 of the total number of marbles. This means that 30 is 0.6 times the total number of marbles.
To write this in equation form, I will use x to represent the total number of marbles:
30=0.6x
Now, we need to solve for x.
On one side of the equation we have only x, and in the other side we only have a number.
So, to solve it, we need to divide both sides of the equation by the coefficient on x, which is 0.6.
30/0.6 = 0.6/0.6x
Solve:
30/0.6 = x
x = 50
The answer is 50.
Answer:
D. 17/7
Step-by-step explanation:
Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7
Answer:
Look at the proof down
Step-by-step explanation:
The given is;
→ ∠1 and ∠2 form a linear pair
→ ∠1 ≅ ∠3
We want to prove;
→ ∠2 and ∠3 are supplementary
<em>We will write the proof in like a table</em>
1. ∠1 and ∠2 formed a linear pair ⇒ 1. Given
2. m∠1 + m∠2 = 180° ⇒ 2. Sum of angles on a straight line
3. ∠1 and ∠2 are supplementary angles ⇒ 3. Supplementary angles add up to 180°
4. ∠1 ≅ ∠3 ⇒ 4. Given
5. m∠2 + m∠3 = 180° ⇒ 5. Substitution method
6. ∠3 is a supplement of ∠2 ⇒ 6. Supplement of equal angles
7. ∠2 and ∠3 are supplementary ⇒ 7. Proved
