Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. To find the line, convert the slope of q and substitute it with (6, -5) into point slope form.
y = 3x + 5 is q. It has a slope of 3. So p will have a slope of -1/3.
Answer: 5000cm
Step-by-step explanation: 25cm x 20cm x 10cm
hope this helps :)
In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
Answer:
QR=8
QU=76
Measure of arc ST=114°
Measure of arc QR=114°
Measure of arc XT=57°
Step-by-step explanation:
Given
YU=YV
ST=16
mQS=34
mRT=98
Using Pythagoras theorem,
QR=8
QU=76
QR=ST
So they both span the same arc.
Let the arc=x
360 - QS - RT = QR + ST
Recall QR=ST
360 - 34 - 98 = x + x
228 = 2x
X=228/2
X=114°
Therefore, measure of arc ST and arc QR=114° each
Measure of the span of arc XT = (1/2) of (arc ST)
= (1/2)(114°)
= 57°
Answer:
9
Step-by-step explanation:
Greatest common factor (GCF) of 27 and 63 is 9.
