Answer:
700.4 cm
Step-by-step explanation:
This involves two similar triangles.
Both triangles are right triangles.
One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.
(1 cm)^2 + (30 cm)^2 = c^2
c^2 = 901 cm^2
c = sqrt(901) cm
The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.
(30 cm)/(700 cm) = [sqrt(901) cm]/x
3/70 = sqrt(901) cm/x
3x = 70 * sqrt(901) cm
x = 70 * sqrt(901) cm/3
x = 700.4 cm
Answer: 700.4 cm
A crest a scatteroy displaying the data in the table. Be sure to include a linear trend line
Let x the maximum speed of the plane and y be the speed of the wind.
We know that:
1)Distance = speed x time
2) if the head wind is y, then the resulting speed is x-y (against the wind)
3) if the tail wind is y, then the resulting speed is x+y (with the wind)
1) and 2): 2400 = (x-y).(6) or 6x-6y = 2400
1) and 3): 2400 = (x+y).(5) or 5x+5y = 2400
Hence the system of 2 equation:
6x - 6y = 2400
5x + 5y = 2400.
Solving it gives x = 440 mi/h and y = 40 mil/h
Then the speed of the plane with no wind is 440 km/h
We need to put ur equation in y = mx + b form ...and the m will be ur slope and the b will be ur y int
so basically, we solve for y...
2x + y = 3....subtract 2x from both sides
y = -2x + 3
y = mx + b
y = -2x + 3......slope(m) = -2 and y int (b) = 3 <==
<h3>
Answer: 38</h3>
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Explanation:
The square markers tell us that we have right angles (aka 90 degree angles) at angle XYZ and XWZ. They are congruent by definition.
Another pair of congruent angles is WXZ and YXZ which are the left-most angles of each triangle.
The sides XZ and XZ are congruent to each other (reflexive property)
Based on those three previous paragraphs, we can use the Angle Angle Side (AAS) congruence theorem to prove that the triangles are congruent.
Specifically we could write 
. The order of the letters is important so we know which letters pair up (eg: Y and W pair up as the 90 degree angles).
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In short, the triangles are identical copies of each other. The upper triangle reflects over the line XZ to get the lower triangle, and vice versa. This means the smaller corresponding pieces must also be the same.
In this case, WZ = YZ = 38
