Answer:
m/_A=112°, m/_B=68°, m/_C=112°
Step-by-step explanation:
m/_A is 112° since consecutive /_s in a parallelogram are supplementary therefore 180°(<- supplementary sum)-68°(<- m/_D)=112°(<- m/_A, and m/_C), and in a parallelogram, one main property is opposite /_s are congruent therefore m/_B is congruent to m/_D so m/_B=68°.
Hopefully, this helps you out, have a great day!
Answer:
B = 42.9°
C = 87.1°
c = 7.4
Step-by-step explanation:
In this problem we are given two sides and one angle of a triangle ABC. The given values are:
a = 9
b = 8
A = 50°
In this case, there wil be only one solution, because the side opposite the given angle (side a) is longer than side b that was also given.
Calculating, let's the the law of sines.
Taking for A & B, we have:
Let's cross multiply
(sin 50°)(8) = 9 sinB
Solving further,
B = 42.9°
Since the total angle of a triangle is 180°, to find C, we have:
C = 180 - 50 - 42.9
C = 87.1°
To find the length of c, let's also use the sine formula.
Cross multiplying
8c = 87.1 sin 42.9
c = 7.4
Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle. Step 3 would be to add those two together.
Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12
C = 25.12 ÷ 2
C = 12.56
Perimeter = 12.56 x 3 = 37.68
Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32
Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68
Final Answer: 69.68
Hope this helped!
Cheers,
Izzy
240 miles/ 8 miles is not a rate if im not mistaken if im wrong someone correct me
Answer:
yhtgree
Step-by-step explanation: