I'll start with the triangle figure.
Interior angles of a triangle is equal to 180°. The given triangle is an Isosceles triangle. It has 2 equal sides and 2 equal angles.
#7 is 69° because its vertical angle is 69°. Vertical angles are equal.
#8 is 111°. As I said, isosceles triangle has 2 equal angles. The angle that is beside #8 is 69°, equal to #7. So, 180° - 69° = 111°
Interior angles are already given except for #4. So, 180° - 69° - 69° = 42°
#3 is computed by 180° - 42° - 69° = 69°
#9 = 116° ; alternate interior angles are equal.
#10 = 180° - 116° = 64°
The last triangle looks like an equilateral triangle. It means that its sides and angles are equal.
360° / 6 = 60°
#1, #2, #5, and #6 = 60° each
#11 = 60° - equilateral triangle, all interior angles are equal.
#12 = 30°; 180° - 90° - 60° = 30°
Answer: x^#22
Step-by-step explanation: Cancel the common factor of
x^56 and x^24.
So your answer is x^32 I’m trying my best to explain the answer.
Answer:
30.1°
Step-by-step explanation:
Let A = angle of elevation
tan A = 55/95
A = arctan 55/95
= 30.1°
Well if he is filling one 3/4 quart bottle, then he must fill his measuring cup 3 times, so just multiply it by 5, and you have 15.
David needs to fill the measuring cup 15 times.
The answer to this question would be: 1 5/6
To change a decimal number into fraction, you need to divide the number on the right of decimal point with 1. In this case, the number is 0.83.
This number is hard since .83 doesn't have many factors. To find the answer you can try to multiply the decimal with some number until it close to 1(no decimal left)
0.83* 2= 1.66
0.83* 3= 2.49 ---> close to half, if you find this number, you can try to double it
0.83* 4= 3.32
0.83* 5= 4.15
0.83* 6= 4.98---> close to 1, that means there is high probability that the number can be divided by 6
0.83 would be 4.98/6, but if we assume that the number is 0.8333...... then 0.83 would be 5/6. So, 1.83 would be 1 5/6