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
Answer:
-5,-2,2,5
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
We remove the -4 by adding 4 to each side:
3y = -43 + 4
Now we simplify to give:
3y = -39
So now we divide both sides by 3 to give our answer of:
y = -39/3
y = -13
We can substitute this into the original equation to check our answer:
-4 + 3(-13) = -43
-4 + -39 = -43
✅
Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.
27x6x60=9,720 *You can use mental math by multiplying 27 by 6 and adding the 2 zeros to the end of the product*
