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.
The length of side b is 7.61 m.
Here's how the length was calculated:
Let:
length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees
In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.
A = 180 - (36 + 75) = 69 degrees
by using the law of sines:
a / sin A = b / sin B = c/ sin C
we will substitute the given values:
12 / sin (69) = b / sin (36)
b = unknown
12 / 0.93 = b / 0.59
12.9 = b / 0.59
b = 12.9 * 0.59
b =7.61 cm (length of side b)
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
60° + 2x° + (2x+12)° = 180° { being a linear pair}.
or, 72° + 4x = 180°
4x = 180° - 70°

Therefore, the value of x is 27°.
Now,
2x° = (2×27)°= 54°
(2x+12)° = 2×27°+12°= 66°.
(x+2)= 27+ 2= 29°
Now, The left angle is 27°.
Therefore, The answer is option A.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
The smaller number is 240.
Step-by-step explanation:
The question says that the larger number is 300, so 5 has to be 300.
4:5
?:300
You can use cross-multiplication or find the scale factor to find the answer.
Cross-multiplication:
4 × 300 ÷ 5 = 240
Finding the scale factor:
300 ÷ 5 = 60
4 × 60 = 240
The smaller number is 240.
Answer:
Step-by-step explanation:
its really simple
just use your brain
4/4 makes 1 whole and 12-11=1 we need to convert the fraction into a whole number. So what over 4 makes 11 wholes? just do 4x11=44 and 44/4=11 and 12-11=1 just do the same for the other ones