Answer:
Step-by-step explanation:
Answer:
m∠1=131
m∠2=49
Step-by-step explanation:
Remember that a line is 180 degrees. To find the measure of angle 2 you will take 180-131= 49.
The measure of angle 1 matches to 131 degrees since it is an alternate interior angle.
Answer:
the present age of the father be x and the present age of the son be y.
It is given that man is 24 years older than his son that is:
x=y+24
x−y=24..........(1)
Also, 12 years ago, he was five times as old as his son that is:
(x−12)=5(y−12)
x−12=5y−60
x−5y=−60+12
x−5y=−48..........(2)
Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get
(x−x)+(−5y+y)=−24−48
i.e. −4y=−72
i.e. y=18
Substituting this value of y in (1), we get
x−18=24
i.e. x=24+18=42
Hence, the present age of the father is 42 years and the present age of the son is 18 years.
Step-by-step explanation:
9514 1404 393
Answer:
B. 22 to 26
Step-by-step explanation:
Multiply each value in the ratio by 2/3 to see an equivalent that is among the choices.
33 : 39 = (2/3)(33) : (2/3)(39) = 22 : 26
Answer:
40
Step-by-step explanation:
In the triangle, there is a 90 degree angle and Angle 1 (what we are looking for) and the other angle, lets call is Angle 2.
Lets find Angle 2 first.
First of all, the angle between angle 40 and 90 can be found easily.
That angle (lets call it "x) and 40 and 90 make a straight angle (180 degrees). So we can write:
40 + x + 90 = 180
Lets solve for "x":
40 + x + 90 = 180
130 + x = 180
x = 180 - 130
x = 50
Now, This angle (50) and Angle 2 are same [vertical angles]
So,
Angle 2 = 50
Now, there are 180 degrees in 3 angles in a triangle. So for the triangle shown, we cacn write:
90 + Angle 1 + Angle 2 = 180
90 + Angle 1 + 50 = 180
Angle 1 + 140 = 180
Angle 1 = 180 - 140
<u>Angle 1 = 40</u>
