Answer:
JKLM is a parallelogram
Explanation:
The slope m of a line through two points (x1,y1) and (x2,y2)is given by the formula:
m=Δy/Δx=y2-y1/x2-x1
So the slopes of the sides of our quadrilateral are:
mJK=(−1)−24−(−3)=−37
mKL=(−5)−(−1)2−4=2
mLM=(−2)−(−5)−5−2=−37
mMJ=2−(−2)(−3)−(−5)=2
So JK is parallel to LM and KL is parallel to MJ
So JKLM is a parallelogram.
Answer:
50ft
Step-by-step explanation:
Hi,
Considering that one side is equal to 38 degrees, we know this isn't a 30 - 60 - 90 triangle.
One of the legs is equal to 40 feet
So, tan(b) = 40/x
tan(38 degrees) is 0.78 round up to 0.8 (if that's what your teacher wants)
0.8 = 40/x
0.8x = 40
x = 50ft
I hope this helps
There is no common factor between 15, 17 and 18 because 17 is prime.
15z² +17z - 18 =
d = 17² - 4.15.-18
d = 289 + 1080
d = 1369
z = (-17 +/- \/1369) : 2 * 15
z = (-17 + 37) : 30
z' = 20 : 30 = 2/3
z" = (-17 - 37) : 30
z" = -54 : 30 = -1.8
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Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula 
. Upon using our given information we will get two equation and two unknowns as:
Upon substituting 
in 1st equation we will get,
Upon multiplying both sides of our equation by 5 we will get,
Upon substituting y=170 in 2nd equation we will get,
Therefore, Charlene's speed is 34 miles per hour.
Answer:
4.1 cm
Step-by-step explanation:
The segment marked x bisects the chord, so the triangle shown has legs x and 7.8, and hypotenuse 8.8.
The Pythagorean theorem can be used to find x:
8.8² = x² +7.8²
x² = 8.8² -7.8² = 77.44 -60.84 = 16.60
x = √16.6
x ≈ 4.1 . . . cm
