I can't tell what it wants to say in the first part, but I'll do A and B for you.
Because all triangle angles add to 180 degrees, you know that angle PMU is 180-21+35 which is 124.
So a) is 124 degrees
And for b) you take the straight line and you know its 180 degrees. Knowing that angle UMP adds up to 180 degrees when added to PMU which is 124, then you subtract 180 - 124
So b) is 56 degrees.
Hope this helps
Also I can help you with the first 4 if I can see the question.
Answer: the total square footage is
850 ft³
Step-by-step explanation:
The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be
10 × 15 = 150 ft³
The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be
20 × 25 = 500 ft³
The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be
10 × 10 = 100 ft³
Also, the volume of the sunroom would be
10 × 10 = 100 ft³
Therefore, the total square footage is
150 + 500 + 100 + 100 = 850 ft³
ANSWER

EXPLANATION
The area of the given triangle can be calculated using the formula,

Where b=54yd , c=54yd,and A=27° is the included angle.
We plug in these values to get;


The correct answer is D.
Answer:
See below in bold.
Its the second choice.
Step-by-step explanation:
The sides b and d are the legs of a 30-60-90 triangle so the sides are in the ratio 2 : 1 :√3 where 2 = the hypotenuse.
Here the hypotenuse = 10. Therefore:
10 = 2*5, so d = 1/2 * 10 and b = √3*5.
d = 5 , b = 5√3.
Now a , b and c are also the sides of a 30-60-90 triangle and we know that b = 5√3.
So a ( the hypotenuse = 2 * 5√3 = 10√3.
and c ( the longest leg) = 5√3 * √3 = 15.
Answer:
I'm pretty sure it's $5.00.