Answer:
(3·x + 6) + (7·x + 4) = 180 --> x = 17
3·17 + 6 = 57
Answer D is correct.
Answer:
(A) 49
Explanation:
Given that the fractions are in their simplest form. So below the denominator cannot be a multiple of 3, 4, 5.
Breakdown:
Looking at option A (49), it is not a multiple of 3, 4, 5. So k can be 49.
Option B (50) is a multiple of 5. An even number like 4 so can be simplified.
Option C (51) is a multiple of 3 so can be simplified more. 3/51 = 1/17.
Option D (52) is an even number like 4 so can be simplified. 4/52 = 1/13.
Answer:
The measure of angle PQR is 74 degrees
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Bisect an angle means divide the angle into two equal parts in
measures
- Ex: If angle ABC is bisected by a ray BD then:
- Angle ABC is divided into two equal parts in measure
m∠ABD = m∠CBD and
m∠ABC = m∠ABD + m∠CBD
- So we can say measure of angle ABC is twice measure of angle
ABD or twice measure of angle CBD
*<em> Lets solve the problem</em>
- Julio bisects angle PQR and labels a point on the bisector as S
∴ m∠PQS = m∠RQS
∴ m∠PQR = m∠PQS + m∠RQS
∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)
- He measures angle PQS with a protractor and find its measure is
37 degrees
∵ m∠PQS = 37°
∴ m∠PQR = 2 × m∠PQS
∴ m∠PQR = 2 × 37 = 74°
∴ The measure of angle PQR is 74 degrees
I think each girl had 8.1 points may be wrong
