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Leya [2.2K]
3 years ago
13

Can someone help me with this question please?

Mathematics
1 answer:
Illusion [34]3 years ago
7 0
<BAX = <ADY
AB || CD                    Property of a square.
<BAX = Theta           Naming an angle (doesn't need proof)
<BAX = <AZD           Property of parallel lines
<ZDY = 90 - Theta    Right angle triangle
<YDA = theta            The two angles at D are complementary.
Which was what you were intended to prove.

Triangle DAY and ABX are Congruent.
You know this because you have two angles and a side that are equal. If two angles in a triangle are equal then the third angle is equal. You have AAS but you could easily make it into ASA. The key step is the one above.

Nice problem. Thanks for posting.
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Solve x2 - 8x - 9 = 0.<br><br> Rewrite the equation so that it is of the form <br> x2 + bx = c.
stira [4]
X^2 - 8x-9=0
D = b^2- 4*a*c = 64- 4* (-9) = 64+36=100 =10^2
X1 = (8-10)/2 = -1
X2= (8+10)/2= 9


7 0
3 years ago
A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
AnnZ [28]

Answer :

<h3>4^{10} <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

=4^{10}

=1048576

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
3 0
2 years ago
30 boxes of melons and 4 melons in each bag . Each bag holds two melons. How melons are there in the store.
SVEN [57.7K]
The answer is the store has 240 melons.
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8 0
3 years ago
Isip at kilos loob ng<br> paaralan​
Afina-wow [57]
Lol I actually laughed at this silly much ?
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3 years ago
Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a repr
Nookie1986 [14]

Answer:

4.95a + 6.55b = 27.95

3 0
3 years ago
Read 2 more answers
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