I am bad at Common Core (I was good before, but not anymore) so I am saying none of the above
Answer:
angle HMS = 62 degrees
x = 13 degrees
AT = 28
Step-by-step explanation:
angle SHM and angle HMS are both inside the triangle SMH.
We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.
Angle SHM = 28 (given)
Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)
Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)
x + 90 + 28 = 180
x = 62 ddegrees
HMS is 62 degrees
TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.
10x - 40 = 90
10x = 130
x = 13 degrees
AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other. HT is congruent to AT while HM is congruent to AM.
So,
8x - 4 = 2x + 20
Subtraact 2 x from both sides
6x - 4 = 20
Add 4 to both sides
6x = 24
Divide 6 on both sides.
x = 4
Plug x back to AT.
AT = 2(4) + 20 = 28
Answer:
The amount of time it takes Shelly to clean each house is 3.6 hours or 2 hours 36 minutes.
Step-by-step explanation:
Shelly cleans 5 different houses in 18 hours.
To compute the amount of times Shelly spends cleaning one house divide the total hours spend by the number of houses cleaned.
The number of hours it takes Shelly to clean a single house is:
Number of hours spent cleaning 1 house = 
hours.
Thus, the amount of time it takes Shelly to clean each house is 3.6 hours or 2 hours 36 minutes.
The estimated quotient of the division is 83.
In mathematics, a quotient is a quantity created by the division of two integers (from the Latin quotients, meaning "how many times").
- The term "quotient" is used frequently in mathematics, and it can also refer to a fraction or a ratio as well as the integer portion of a division (in the case of Euclidean division)(in the case of proper division).
- For instance, the quotient in the sense of Euclidean division is "6 with a remainder of 2" when 20 (the dividend) is divided by 3 (the divisor).
- The most common way to represent the quotient is as two integers or two variables split by a horizontal line.
- The terms "dividend" and "divisor" relate to each component separately, whereas "quotient" describes the entire thing.
Now let us divide 4234 by 51.
4234 ÷ 51 = 83.019...
Therefore the quotient is 83
4234 divided by 51 gives quotient 83 and remainder 1 .
To learn more about quotient visit:
brainly.com/question/16134410
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