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irga5000 [103]
3 years ago
8

A, B & C lie on a straight line.

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

x = 27°

Step-by-step explanation:

m<D

m<CBE = 63° (Given)

m<CBE = m<ABD (vertical angles)

m<ABD = 63° (substitution)

x = 180 - (m<ABD + m<D) (Sum of triangle)

x = 180 - (90 + 63)

x = 27°

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Li Ping says a square with 3 inch sides has greater area than a parallelogram that is not a square but has sides that have the s
Kipish [7]

Answer:

Li Ping's statement makes sense.

Step-by-step explanation:

The area of a square with side lengths a inches is given by, A_1 = a^{2}.

Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, A_2 = ah, where, h is the perpendicular distance between the opposite sides.

See the diagram attached.

Since a is the hypotenuse of as right triangle with height h, hence, a > h.

So, A_1 > A_2

Therefore, Li Ping's statement makes sense. (Answer)

8 0
3 years ago
What is the area of this figure?<br><br> Enter your answer in the box.<br><br><br> []m²
tiny-mole [99]

Ans: 81 square metre

4 0
3 years ago
Read 2 more answers
Please answer this question now
Rashid [163]

Answer:

54

Step-by-step explanation:

To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.

The perimeter of the given triangle = IK + KM + MI

IK = IJ + JK = 13

KM = KL + LM = ?

MI = MN + NI ?

Let's find the length of each tangents.

NI = IJ = 5 (tangents from external point I)

JK = IK - IJ = 13 - 5 = 8

JK = KL = 8 (Tangents from external point K)

LM = MN = 14 (Tangents from external point M)

Thus,

IK = IJ + JK = 5 + 8 = 13

KM = KL + LM = 8 + 14 = 22

MI = MN + NI = 14 + 5 = 19

Perimeter = IK + KM + MI = 13 + 22 + 19 = 54

4 0
2 years ago
Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou
mixer [17]
Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

 they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)
 
they drove 360 km
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 solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour



5 0
3 years ago
Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same numbe
olga_2 [115]
12x3=36 its that simple m8
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