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Allisa [31]
3 years ago
10

You cut a sheet of paper along its diagonal, as shown. What is the length of the diagonal? Round your answer to the nearest tent

h. HOW MANY INCHES?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

14.4

Step-by-step explanation:

Use the Pythagorean Theorem: a^2 + b^2 = c^2

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Congruent triangles & proofs need answers to all the ones i got wrong. thank u!
notka56 [123]

Answer:

Step-by-step explanation:

13. Since, it is given that we have to prove ΔGDH≅ΔFEH by HL rule, thus From ΔGDH, ∠GDH=90° and GH is the hypotenuse and from ΔFEH, ∠HEF=90° and HF is the hypotenuse, thus in ΔGDH and ΔFEH,

∠GDH≅∠HEF=90°

GH≅FH,

Thus by HL the given triangles are congruent.

Option A is correct.

14. From the figure, it can be seen that both triangles have a right angle congruent and hypotenuse congruent, thus by HL rule, triangle scan be prove congruent.

Option A is correct.

15. It is given that BI is parallel to RD, thus using the alternate interior angle property, ∠B≅∠R.

Option C is correct.

16. It is given that BI is parallel to RD, and ∠BSI and ∠RSD form the vertically opposite angles, thus ∠BSI≅∠RSD by vertical angles are congruent.

Option A is correct.

17. Since Δ ABC is an isosceles triangle, thus two sides of the triangle are equal, therefore ∠A=∠B=3x+5, using the angle sum property in ΔABC, we have

3x+5+2x+3x+5=180°

⇒8x+10=180

⇒8x=170

⇒x=21.25

Thus, ∠B=3x+5=3(21.25)+5=63.75+5=68.75°

18. From ΔJKL and ΔDEF, we have

∠K=∠E (given)

∠L=∠F(given)

JL=DF

Thus, By AAS rule ΔJKL ≅ ΔDEF

As corresponding angles and corresponding sides are equal in these two triangles as compared to the other triangles.

8 0
3 years ago
Help asap! will award brainly and pls explain!
cluponka [151]

This is a right angle triangle.

So, by Pythagoras theorem,

√(32^2+20^2) = x

or √(1024+400) = x

or √1424 = x

or <em>37.74 = x</em>

3 0
3 years ago
John’s gross pay for the week is $500. He pays 1.45 percent in Medicare tax, 6.2 percent in Social Security tax, 2 percent in st
olchik [2.2K]
Gross pay = 500

deductions :
medicare tax : 0.0145(500) = 7.25
S.S tax : 0.062(500) = 31.00
sales tax : 0.02(500) = 10.00
income tax : 0.2(500) = 100
insurance = 20
total deductions : 7.25 + 31 + 10 + 100 + 20 = 168.25

gross pay - deductions = net pay
500 - 168.25 = net pay
331.75 = net pay <===
7 0
3 years ago
For which function is 5 NOT an element of the range?
Darina [25.2K]
B. y = -2 + 4
y = 2 not 5
5 0
3 years ago
The perimeter of each face of a Rubik's cube is 22.2 centimeters.What is the length of an edge of a Rubik's cube? This is dividi
jek_recluse [69]
Divide 22.2 by 4 since the perimeter is the outside and there are 4 edges 
4 0
3 years ago
Read 2 more answers
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