Answer:
The measure of the arc PJ is 
Step-by-step explanation:
step 1
Find the measure of angle L
we know that
In a inscribed quadrilateral opposite angles are supplementary
so
we have
substitute
step 2
Find the measure of arc KJ
we know that
The inscribed angle measures half that of the arc comprising
so
substitute the values
step 3
Find the measure of arc PJ
we know that
The inscribed angle measures half that of the arc comprising
so
substitute the values
The answer is B.) one
Hope this helps :)
Answers:
1.) 18 lemons
2.) 80 minutes
Explanation:
Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.
Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.
If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.
For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.
This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).
If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.
Hope this helps :)
check the picture below.
make sure your calculator is in Degree mode.
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
