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Arturiano [62]
1 year ago
9

Given BA=DCCB=ADWhich postulate/theorem will be sufficient to prove ∆ABC= ∆CDB

Mathematics
1 answer:
Sever21 [200]1 year ago
4 0

We are given two triangles and we are told that

\begin{gathered} BA=DC \\ CB=AD \end{gathered}

since the triangle share side BD this means that the triangles have the same side length, therefore, congruency can be proved by SSS (Side Side Side).

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Julie planted a rectangular garden that is 20 feet long. She placed 56 feet of fencing around her garden. Draw and label a sketc
Sloan [31]
First draw a  rectangle. Label the longer sides as 20 feet long each. 20 + 20 = 40. that means there is 16 feet of fencing left for the shorter sides. This means that each of the shorter sides is 8 feet long  <span />
8 0
3 years ago
Colin gets £x wages each week. After he pays his tax of £t, he
kupik [55]

Answer:

They will each get ;

(x-t)/2 - 60

Step-by-step explanation:

Here, we want to know the amount of money that Colin and his wife gets

we start by subtracting the necessary terms

Mathematically, that would be;

x-t-120

So what each of them get will be;

(x-t-120)/2

= (x-t)/2 - 60

4 0
3 years ago
asmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72.
Inga [223]
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128

The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.

Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.

The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
8 0
3 years ago
14&gt;-2(2z+3)<br>please help me!!
Veseljchak [2.6K]

Answer:

14 > -2 (2z + 3)

First you need to distribute the -2 inside the parentheses.

14 > -2(2z) + -2(3)

14 > -4z - 6              -Add 6 to both sides of the equation

14 + 6 > -4z - 6 + 6

20 > -4z              -Now divide by -4 on both sides

20 / -4 > -4z / -4

-5 > z

However, when you divide by a negative number, you MUST flip the sign.

So, the answer is:

-5 < z

Hope this helps!


6 0
3 years ago
Consider an experiment whose sample space consists of a countably infinite number of points. Show that not all points can be equ
ella [17]

Answer: if you have infinity points, which i will asume are the events, they cant have the same probability because then the probability will not be normalized, because in graph of prob vs variable, you will se infinite area under the curve if the probability is constant.

And yes, can all points have positive probability of occurring, but besides you medium value (the bell for example) you will see an asintotic decrease to the zero.

3 0
3 years ago
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