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4 years ago

PLEASE HELP!!! GEOMETRY (see attached images)

Mathematics

1 answer:

olasank [31]4 years ago

3 0

Answer:

The Proof and Explanation for

Part C ,

Qs 9 and

Qs 10 are below.

Step-by-step explanation:

PART C .

Given:

AD || BC ,

To Prove:

ΔAED ≅ ΔCEB

Proof:

Statement Reason

1. AD || BC 1. Given

2. ∠A ≅ ∠C 2. Alternate Angles Theorem as AD || BC

3. ∠AED ≅ ∠CEB 3. Vertical Opposite Angle Theorem.

4. AE ≅ EC 4. Given

5. ΔAED ≅ ΔCEB 5. By A-S-A congruence test....Proved

Qs 9)

Given:

AB ≅ BC ,

∠ABD ≅ ∠CBD

To Prove:

∠A ≅ ∠C

Proof:

Statement Reason

1. ∠ABD ≅ ∠CBD 1. Given

2. AB ≅ CB 2. Given

3. BD ≅ BD 3. Reflexive Property

4. ΔABD ≅ ΔCBD 4. By S-A-S congruence test

5. ∠A ≅ ∠C 5. Corresponding parts of congruent Triangles Proved.

Qs 10)

Given:

∠MCI ≅ ∠AIC

MC ≅ AI

To Prove:

ΔMCI ≅ ΔAIC

Proof:

Statement Reason

1. ∠MCI ≅ ∠AIC 1. Given

2. MC ≅ AI 2. Given

3. CI ≅ CI 3. Reflexive Property

4. ΔMCI ≅ ΔAIC 4. By S-A-S congruence test

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Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than

fomenos

Answer:

The correct options are :

b. 5

e. 25

Step-by-step explanation:

The question is incomplete. The missing part is :

'' Which of these values will prove Sherry's claim is false :

a. 3

b. 5

c. 7

d. 11

e. 25 ''

One way to prove that Sherry's claim is false is finding one odd number greater than 1 that when we replace it in the denominator of the expression $\frac{1}{x}$ the result isn't equivalent to a repeating decimal.

Let's analyze each option :

a. 3

3 is an odd number greater than 1 ⇒ If we replace in the expression $\frac{1}{x}$ ⇒

$\frac{1}{3}$ ≅ 0.3333 (repeating decimal)

The option a. 3 won't prove that Sherry's claim is false.

b. 5

5 is an odd number greater than 1 ⇒ If we replace in the expression $\frac{1}{x}$ ⇒

$\frac{1}{5}=0.2$

The result isn't a repeating decimal.

The option b. 5 will prove that Sherry's claim is false.

c. 7

7 is an odd number greater than 1 ⇒ If we replace in the expression $\frac{1}{x}$ ⇒

$\frac{1}{7}$ ≅ 0.1428 (repeating decimal)

The option c. 7 won't prove that Sherry's claim is false.

d. 11

11 is an odd number greater than 1 ⇒ If we replace in the expression $\frac{1}{x}$ ⇒

$\frac{1}{11}$ ≅ 0.0909 (repeating decimal)

The option d. 11 won't prove that Sherry's claim is false.

e. 25

25 is an odd number greater than 1 ⇒ If we replace in the expression $\frac{1}{x}$ ⇒

$\frac{1}{25}$ ≅ 0.04

The result isn't a repeating decimal

The option e. 25 will prove that Sherry's claim is false.

3 0

3 years ago

−9x (5x+4 ) +10 (x+3) can someone please solve his for me thank u step by step please i really need to find out how to do it

Ivahew [28]

Answer:

-45 $x^{2}$ -26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45 $x^{2}$ and -9x*4 = -36x
Step two: Put the answers together. That would leave us with -45 $x^{2}$ -36x.

Part two 10(x+3)

Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30
Step two: Put the answers together. That would leave us with 10x+30

Part three solve

Step one: combine and put together what you have solved for. That would leave us with a -45 $x^{2}$ -36x+ 10x+30
Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.
Step three: Write the equation in standard form. Therefore the answer is -45 $x^{2}$ -26x+30.

Let me know if anything is confusing!

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3 years ago

A museum charges $5.50 per visitor. Today the museum has already admitted 69 visitors. Write and solve an inequality to find out

nlexa [21]

Just solve 5.5x = 500 where x = # of visitors. Answer is 90.9 but you round down. So 90 visitors.

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3 years ago

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grin007 [14]

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

So using theorem we find that

∠A+∠C = 180

x + 108 = 180

x = 180 - 108

x = 72

∠B+∠D = 180

88 + y = 180

y = 180 - 88

y = 92

Answered by Gauthmath must click thanks and mark brainliest

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3 years ago

HELP 10PTS AND BRAINLIESTThe image of a triangle after it has been dilated with a center of dilation at the origin has vertices

Gala2k [10]

Answer:

C is (-18, 24)

Scale factor 1 1/3

A is (9, - 4 1/2) *4 1/2 is also 4.5

Step-by-step explanation:

When we take a look at image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by

(-24/-18) and (-12/-9) both equal 4/3

So using the scale factor to go from the pre image to the image,

We can find C coordinate by multiplying pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A we divide the image by the scale factor

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hope this helps,

Cate

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4 years ago

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