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3 years ago

Find the area A of triangle JKL with the vertices J(5,8), K(0,7), and L(5,4)

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer:

Area of the triangle is 10 square units

Step-by-step explanation:

Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:

Area = 4 x 5 / 2 = 10 square units.

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if the class charges $15 per ticket write an equation that could be used to determine the number of tickets the class would need

OverLord2011 [107]

t = number of tickets

15t ≥ 1500

so....

step 1. 15t ≥ 1500 --> divide both sides by 15 --> 15t/15 ≥ 1500/15

step 2. t ≥ 100

So 100 at the least, ticket should be sold to reach atleast $1500.

I hope this helps. :)

5 0

4 years ago

Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Serga [27]

Answer:

Yes

Step-by-step explanation:

ΔMNL ≅ ΔQNL by ASA or AAS

by ASA

Proof:

∠ LNM = ∠LNQ =90

LN = LN {Common}

∠MLN = ∠QLN {LN bisects ∠ L}

By AAS

∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}

∠Q + 32 + 90 = 180

∠Q + 122 = 180

∠Q = 180 -122 =

∠Q = 58

∠Q = ∠M

∠MNL =∠QNL = 90

LN = LN {common side}

8 0

3 years ago

The area of trapezium is 1586cm² and the distance between sides is 26cm.If one of the parallel sides is 84cm,find the other

irinina [24]

Check the picture below.

we know the area is 1586, so

$\stackrel{\textit{area of a trapezoid}}{A=\cfrac{h(a+b)}{2}}\implies 1586=\cfrac{26(84+b)}{2}\implies 1586=13(84+b) \\\\\\ \cfrac{1586}{13}=84+b\implies 122=84+b\implies 38=b$

3 0

2 years ago

Find the missing term and the missing coefficient 6a −( )5a =( ) a2 − 35a

andrew11 [14]

Solving for the missing term and the missing coefficient (6a − )5a = ( ) a^2 − 35a
Let the missing term be X
Let the missing coefficient be Y
Therefore, (6a – X)5a = Y(a^2) – 35a
6a x 5a – X.5a = Y.a^2 – 35a
30a^2 – X.5a = Y.a^2 – 35a
Equating co-efficients,
30a^2 = Y.a^2; X.5a = 35a
30 = Y; 5X = 35
Y = 30; X = 7
Therefore, (6a-7)5a = 30 a^2 – 35a

3 0

3 years ago

What are integers? Please give your best explanation and a simple example (worth 20 points)

tino4ka555 [31]

<h3>Explanation</h3>

What is Integer?

Integer is a subset of Real Number. It can be broken into these following:

Positive Integer
Zero
Negative Integer

Integer can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.

Integers are like Natural or Counting Numbers except they have 0 and negative numbers.

Positive Integer

Positive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...

Zero

Zero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.

Negative Integers

Negative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...

5 0

3 years ago

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