Answer:
∠GHE = 55°
Step-by-step explanation:
ABCD is a quadrilateral (4 sided figure). We know that the sum of the interior angles (4 angles) of a quadrilateral in 360°.
Thus, A + B + C + D = 360
<em>we know b = c = 90 and a = 125, thus we can find D.</em>
<em>125 + 90 + 90 + D = 360</em>
305 + D = 360
D = 360 - 305 = 55°
<u>Note:</u> since Quadrilateral ABCD is congruent to Quadrilateral EFGH, then the measure of D is equal to measure of H (Angle GHE). Thus
∠GHE = 55°
2nd answer choice is correct
Answer:
0.62
Step-by-step explanation:
There are a total of 10 marbles in the bag.
P(blue and not blue) = 5/10 × 5/10 = 25/100
P(red and not red) = 2/10 × 8/10 = 16/100
P(green and not green) = 3/10 × 7/10 = 21/100
P = 25/100 + 16/100 + 21/100
P = 62/100
P = 0.62
Alternatively, you can calculate it this way:
P(both blue) = (5/10)² = 25/100
P(both red) = (2/10)² = 4/100
P(both green) = (3/10)² = 9/100
P = 1 − (25/100 + 4/10 + 9/100)
P = 1 − 38/100
P = 62/100
P = 0.62
Since you know that the equation of straight line is y=Mx + c
Where m mean gradient , and c means intercept
We don’t know our intercept neither do we know our gradient
So we have to find these to get our equation
Therefore, to find m( gradient) from the table
We are going to use the formulae for gradient which is
M=y2-y1 / x2-x1
I.e from the table
M= 23-15 / 4-2
M=8/2
M=4
Therefore how gradient is 4
Answer: 15.625
Step-by-step explanation:
F = 1000/(8^2) = 1000/64 = 15.625
Answer:
Difference between the distances traveled by Mary and Kate = 226 feet
Step-by-step explanation:
By applying Pythagoras theorem in right ΔDEF,
(DE)² + (EF)² = (DF)²
By substituting DE = 264 feet and EF = 900 feet
(264)² + (900)² = (DF)²
DF = √(69696+810000)
= √879696
= 937.92
Distance traveled by Kate diagonally = 938 feet
Distance traveled by Mary = DE + EF
= 264 + 900
= 1164 feet
Difference between the distances traveled by Mary and Kate = DF - (DE + EF)
= 1164 - 937.92
= 226.07
≈ 226 feet
