The least common denominator is 24
m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°
Solution:
Triangle sum property:
Sum of the angles of the triangle = 180°
In ΔDHG,
m∠HDG + 120° + 32° = 180°
m∠HDG + 152° = 180°
m∠HDG = 180° – 152°
m∠HDG = 28°
In ΔGEF,
m∠EFG + 17° + 113° = 180°
m∠EFG + 130° = 180°
m∠EFG = 180° – 130°
m∠EFG = 50°
Sum of the adjacent angles in a straight line is 180°
m∠DEG + m∠DEF = 180°
m∠DEG + 113° = 180°
m∠DEG = 180° – 113°
m∠DEG = 67°
In ΔDGE,
m∠DGE + 48° + 67° = 180°
m∠DGE + 115° = 180°
m∠DGE = 180° – 115°
m∠DGE = 65°
Hence m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°.
<h2>
Hello!</h2>
The answer is:
<h2>
Why?</h2>
To composite functions, we need to evaluate functions in another function(s), for example:
Given f(x) and g(x), if we want to calculate f(x) composite g(x), we need to evaluate g(x) into f(x).
So, we are given the functions:
And we are asked to calculate g(x) composite f(x), and then evaluate "x" to 0, so, calculating we have:
Now that we have the composite function, we need to evaluate "x" equal to 0, so:
Hence, we have that:
Have a nice day!
Step-by-step explanation:
- blue one ====> 3x+16 =9x+4 ( alternate angles)
>9x-3x=16-4
>6x=12
>x=2.
- white one ====> 10x-2=9x+5 (corresponding angle)
>10x-9x=5+2
>x=7.
- green one ====>8x+10=6x+30(vertically opposite angle)
>8x-6x=30-10
>2x=20
>x=10.
hope this helps you.
The mean of the scores to the nearest 10th digit will be 74.9.
<h3>What is Mean?</h3>
The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
Then the mean is given as,
Mean = (Total score) / (total student)
The total score will be
Total score = 65 x 8 + 70 x 7 + 75 x 3 + 80 x 8 + 85 x 3 + 90 x 2 + 95 x 2
Total score = 520 + 490 + 225 + 640 + 225 + 180 + 190
Total score = 2470
The total number of students will be
Total student = 8 + 7 + 3 + 8 + 3 + 2 + 2
Total student = 33
Then the mean will be
Mean = 2470 / 33
Mean = 74.85 ≈ 74.9
More about the mean link is given below.
brainly.com/question/521501
#SPJ2
