Distribute: 4x(y + 7)
2 answers:
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Answer:
Step-by-step explanation:
The formula for this is
∠G = 1/2(arcEH - arcHF)
We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF
Filling in the formula with what we have:
which simplifies down a bit to
which simplifies down a bit more to
Multiply both sides by 2 to get rid of the fraction and get:
2(5x - 10) = 178 - 8x which of course simplifies to
10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:
18x = 198 so
x = 11. Now we can find the measure of arcHF:
arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.
arcEH + arcHF = arcEHF so
195 + 105 = arcEHF so
arcEHF = 300°
Answer:
Therefore = -3.
Step-by-step explanation:
i) let us say the slope of the line passing through (-2,7) and (4,9) is .
ii) to find the slope of the line passing through two points (,
) and (
,
) we use the formula m =
. Therefore we can say that
=
=
.
iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is
iv) from the formula for the slopes of a line and the line perpendicular to it which is given by ×
= -1, therefore
= -1 ÷
= -3. Therefore
= -3