Acc. to midpoint theorem,
15={(2x+9) + (4x-15)}/2
⇒ 30=2x+9+4x-15
⇒ 30-9+15=6x
⇒ 36/6=x
⇒6=x
WZ= 4x-15
=4*6-15
=24-15=9
Given function is a direct variation
Step-by-step explanation:
The direct proportion is defined as the increase in one quantity causes increase in other quantity.
If y is directly proportional to x, then it is given as:
y = kx
where k is the constant of proportionality
Given
y = 3x
Comparing the general form and given equation we see that both are same where k =3
So,
Given function is a direct variation
Keywords: Variation, functions
Learn more about functions at:
#LearnwithBrainly
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
Answer:
A) 11% B) 60
Step-by-step explanation:
(for A) if you add all the "Frequency" it adds up to 100, so we don't need to do any maths for that because we already have our 100% right there. So less maths to do because if that right there is already the whole, then the frequency of it is the % out of 100%
(for B) If you take your calculator and do 12 x 500, you get 6,000, press the "%" button and it gives you the percent of what that probability of getting 6 after rolling 500 times with its sent frequency
(took me a minute to learn this this for you... by that i mean i messed around with my calculator for like 3 minutes) Hope this is right.

1) A figure formed by line segments only is called a <u>polygon</u><u> </u> .
2) Perimeter of a regular polygon is <u>Number </u><u>of </u><u>sides </u><u>×</u><u> </u><u>Measure </u><u>of </u><u>each </u><u>side </u><u>.</u>
3) Perimeter of a irregular polygon is <u>sum </u><u>of </u><u>all </u><u>sides </u><u>.</u>
4) Two circles with same centre but different radii is called <u>Concentric </u><u>circles</u><u>.</u>
5) Ratio of circumference of circle to its diameter is <u>pie </u> and is named by Greek letter <u>π </u>.
6) Distance around the circle is called<u> </u><u>circumference</u><u>.</u>
7) A chord of the circle contains exactly <u>two points</u> on a circle.
8) 1 hectare = <u>1</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u> </u><u>m²</u>
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<u>I </u><u>hope</u><u> </u><u>it </u><u>helped </u><u>ツ</u></h3>