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3 years ago

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)

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