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TiliK225 [7]
3 years ago
8

Please help me with Questions 1 and 3 thank you

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

1) In a proportion: y/x=k

k is your constant of proportionality.

x is your independent variable and y is your dependent variable.

Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.

So k=1.5   (3/2)

3)

a) y/x as a showed above. This question is very similar to #1.

b) y/x=k

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In the given figure △ABC ≅△DEC. Which of the following relations can be proven using CPCTC ?
Serhud [2]

Option B:

\overline{A B}=\overline{D E}

Solution:

In the given figure \triangle A B C \cong \triangle D E C.

If two triangles are similar, then their corresponding sides and angles are equal.

By CPCTC, in \triangle A B C \ \text{and}\ \triangle D E C,

\overline{AB }=\overline{DE} – – – – (1)

\overline{B C}=\overline{EC} – – – – (2)

\overline{ CA}=\overline{CD} – – – – (3)

\angle ACB=\angle DCE  – – – – (4)

\angle ABC=\angle DEC  – – – – (5)

\angle BAC=\angle EDC  – – – – (6)

Option A: \overline{B C}=\overline{D C}

By CPCTC proved in equation (2) \overline{B C}=\overline{EC}.

Therefore \overline{B C}\neq \overline{D C}. Option A is false.

Option B: \overline{A B}=\overline{D E}

By CPCTC proved in equation (1) \overline{AB }=\overline{DE}.

Therefore Option B is true.

Option C: \angle A C B=\angle D E C

By CPCTC proved in equation (4) \angle ACB=\angle DCE.

Therefore \angle A C B\neq \angle D E C. Option C is false.

Option D: \angle A B C=\angle E D C

By CPCTC proved in equation (5) \angle ABC=\angle DEC.

Therefore \angle A B C\neq \angle E D C. Option D is false.

Hence Option B is the correct answer.

\Rightarrow\overline{A B}=\overline{D E}

5 0
3 years ago
Please please open !
Tomtit [17]

Answer:

1.A  2.A  3.A 4.B  5.A  6.B

6 0
3 years ago
3. Before tax, Louise spent a total of $38 on the items below at Starbucks
soldier1979 [14.2K]

Answer:

  47.4%

Step-by-step explanation:

The total amount Louise spent on Frappuccinos was 4×$4.50 = $18. The fraction that is of the total is ...

  Fraps/Total = $18/$38 = 9/19

That can be converted to a percentage by multiplying by 100%:

  9/19 = (9/19)×100% ≈ 47.4%

Louise spent 47.4% of the $38 on Frappuccinos.

_____

<em>Additional comment</em>

The decimal equivalent of 9/19 is a repeating decimal with an 18-digit repeat.

8 0
2 years ago
Read 2 more answers
Please help me I honestly have zero clue how to answer this question
Iteru [2.4K]

Step-by-step explanation:

n = 3 \times 5 {}^{2}   \times  {x}^{3}

Square both sides of the equation.

{n}^{2}  = (3 {}^{2}  \times 5 {}^{4}  \times  {x}^{6} )

5 {n}^{2}  = 5(3 {}^{2}  \times  {5}^{4}  \times  {x}^{6} )

6 0
2 years ago
Write the value of the numerator 374 as the product of prime factors
ycow [4]
The prime factors of 374 are 2,11and,17
8 0
3 years ago
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