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2 years ago

These triangles could be proven congruent by ASA. True or False.

Mathematics

2 answers:

RSB [31]2 years ago

7 0

True they could be congruent by ASA

zlopas [31]2 years ago

3 0

True..................

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Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. How many cups, x,

siniylev [52]

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: $20\leq 1.50x-6.50$ .

To find number of cups x to make a profit of at least $20 we will use our given inequality.

$20\leq 1.50x-6.50$

$20+6.50\leq 1.50x$

$26.50\leq 1.50x$

$x\geq \frac{26.50}{1.50}$

$x\geq \frac{53}{3}$

$x\geq 17.6666666$

Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.

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2 years ago

We have 3 broken glasses for every 500.Write this as a fraction and as a percent

Irina-Kira [14]

Number of broken glasses / total glasses = 3/500 = 0.006 = 0.6%

6 0

2 years ago

A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then d

Bumek [7]

Answer:

Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.

To Find :Convert this number into first arc minutes then degrees.

Solution:

60 arc seconds = 1 arc minute

1 arc seconds = $\frac{1}{60}$ arc minute

12 arc seconds = $\frac{1}{60} \times 12$ arc minute

12 arc seconds = $\frac{1}{5}$ arc minute

So, 12 arc seconds = $\frac{1}{5}$ arc minute

Now convert it into degrees

60 arc minute = 1 degree

1 arc minute = $\frac{1}{60}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{60} \times \frac{1}{5}$ degree

$\frac{1}{5}$ arc minute = $\frac{1}{300}$ degrees

12 arc seconds = $\frac{1}{300}$ degrees

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2 years ago

Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?

Zinaida [17]

Answer:

$\dfrac{1}{20}\ \text{yards}$

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

$l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}$

So, each new piece pf fabric is $\dfrac{1}{20}\ \text{yards}$ .

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2 years ago

each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num

Gnoma [55]

The <em><u>correct answer</u></em> is:

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

$0.5 < 0.9^x$

To solve this, we will use logarithms:

$\log_{0.9}(0.5)$

4 0

2 years ago