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
If u do t k is it then just do it
Answer:
(x+4)^2+(y+2)^2=5
or
(x-(-4))^2+(y-(-2))^2=5
Step-by-step explanation:
Format for an equation of a circle: (x-h)^2+(y-k)^2=r^2
Center: (1/2*(-6-2),1/2*(-3-1))=(-4,-2)
Radius: sqrt(20)/2 or sqrt(5)
So, it's
(x+4)^2+(y+2)^2=5
or
(x-(-4))^2+(y-(-2))^2=5
Answer:
Number of marbles with Williams at the starting = 192
Step-by-step explanation:
Let total number of marbles with Williams = m
He lost marbles = 25% of the total number
=
=
Remaining marbles with Williams = m -
=
He gave marbles to his brother = th of the remaining marbles
=
=
Remaining marbles after giving marbles to his brother = 120
Therefore,
m =
m = 192
Number of marbles with Williams at the starting = 192
Answer:
43
Step-by-step explanation:
- 43.09 has 2 parts the integer part which is basically to the left and the decimal point which is to the right. to get this to the nearest integer or whole number you would have to round it off so you only have the integer part to do so the first digit in the fractional part is less than 5 then simply remove the fractional part to get the answer but in this case the de