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Scrat [10]
3 years ago
5

7. Find the missing lengths of the sides.

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

a=9\ in\\b= 9\ in

Step-by-step explanation:

This straight triangle has two angles equal to 45 ° and two equal sides.

We know that the side opposite the 90 degree angle is:

c =9\sqrt{2}\ in

Since the triangle has two equal angles, then it is an iscoceles triangle.

This means that

a = b

We use the Pythagorean theorem to find b

c^2 = a^2 + b^2\\\\c^2 = b^2 + b^2\\\\c^2 = 2b^2\\\\(9\sqrt{2})^2 =2b^2\\\\b^2=\frac{(9\sqrt{2})^2}{2}\\\\\sqrt{b^2}=\sqrt{\frac{(9\sqrt{2})^2}{2}}\\\\b=\frac{(9\sqrt{2})}{\sqrt{2}}\\\\b=a=9

morpeh [17]3 years ago
7 0

Answer:

x = 7, y = 9.9

Step-by-step explanation:

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AlladinOne [14]

Answer:

x=-4

Step-by-step explanation:

x+12+x+16=20

2x=20-28

x=-8/2

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Simplify<br> 5t^2 divided by t^2
zysi [14]

Answer:

The answer is 5 basically just cancel out the t^2’s and u get what’s left over

Step-by-step explanation:

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What are the angle measures given the figure is a rhombus??
Blababa [14]

Answer:

28° at top and 1° at bottom

Step-by-step explanation:

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8 0
3 years ago
To a survey of 290 newspaper reader, 181
astra-53 [7]

Question:

To a survey of 290 newspaper readers, 181 of them read the Daily Times, 142 Read the Guardian 117 read punch and each reads at least one of the three papers if 75 read the Daily Times, and the Guardian, 60 read the Daily Times and punch, and 54 read the Guardian and punch : Draw a Venn diagram to illustrate this information How many readers read All three papers ,Exactly two of the papers The Guardian alone?

Answer:

39 read all three news papers,72 Exactly two Papers & 52 reads  Guardian Alone

Step-by-step explanation:

We have given, A survey of 290 newspaper readers.

Who read the Daily times A=181  

Who read the Guardian times B=142  

Who read the punch C=117

Who read Daily Times and the Guardian A\cap B= 75

Who read Daily Times and the punch A\cap C=60

Who read Guardian and punch B\cap C=54

To find :

How many readers read All three papers, Exactly two of the papers The Guardian alone?

Solution :

Readers read all three papers is A\cap B\cap C

Total survey is given by,

Total = A+B + C- A\cap B- A\cap C - B\cap C+ A\cap B\cap C

290 = 181 + 142 + 117 - 75 -60 - 54 +A\cap B\cap C

290 =251+A\cap B\cap C

290-251=A\cap B\cap C

A\cap B\cap C=39

So, number of readers who read all three papers is 39.

Exactly two of the papers = 36 + 21 + 15 = 72

Guardian Alone = 52

7 0
3 years ago
∠WXY and ∠ZXY are adjacent angles. What equation must always be TRUE? m∠WXY=m∠ZXY
Hitman42 [59]

Answer:

m∠WXY+m∠ZXY=m∠WXZ

Step-by-step explanation:

You don't know the angles to be congruent (equal measures), complementary (measures add to 90 deg), or supplementary (measures add to 180 deg); all you know is that they are adjacent, so the sum of the measures of the two smaller angles equals the measure of the larger outer angle.

Answer: m∠WXY+m∠ZXY=m∠WXZ

3 0
4 years ago
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