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Norma-Jean [14]

2 years ago

15

Lisa wrote the following statement: "You can only draw one unique isosceles triangle that contains an angle of 65°." Which state

ment is true

1 answer:

JulijaS [17]2 years ago

4 0

Triangles always equal 180 degrees

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The age of Tony and Vihaan are in the ratio of 8:7. Six years later, their ages will be in the ratio 10:9. Find their ages.

Alex_Xolod [135]

Answer:

24 and 21

Step-by-step explanation:

the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )

In 6 years

8x + 6 : 7x + 6 = 10 : 9

Express the ratio in fractional form

$\frac{8x+6}{7x+6}$ = $\frac{10}{9}$ ( cross- multiply )

9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides

72x + 54 = 70x + 60 ( subtract 70x from both sides )

2x + 54 = 60 ( subtract 54 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

Tony = 8x = 8 × 3 = 24

Vihaan = 7x = 7 × 3 = 21

4 0

2 years ago

Read 2 more answers

Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabel

serious [3.7K]

Answer:

286

Step-by-step explanation:

Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.

To Find: If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?

Solution:

Since Annabelle paid 200 euros

And Myra wants to pay Annabelle back in U.S. dollars.

Let Myra paid amount to Annabelle in U.S. dollar be x

We are also given that the U.S. dollar and the euro is 1:0.7

⇒ $\frac{1}{0.7}=\frac{x}{200}$

⇒ $\frac{1*200}{0.7}=x$

⇒ $\frac{200}{0.7}=x$

⇒ $285.7=x$

⇒285.7≈286

Thus Myra should pay $286 to Annabelle

6 0

2 years ago

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She rece

Elena L [17]

Answer: 280 tons

Step-by-step explanation: divide all at tons/pound which accumulated to 280 tons

7 0

2 years ago

A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it ta

MAXImum [283]

We know that the number of workers doubles every week.

This implies that the number of workers of the previous week is exactly half of the current one's.

So, it took 11 weeks for the factory to be at half capacity.

3 0

2 years ago

Nyoko needs to be at school at 7:45 AM. It takes her 15 minutes to walk to school, 5/12 hour to eat breakfast, 0.7 hour to get d

defon

So, she wants to be at school at 7.40 (5 mins early)

she needs:

15 mins
5/12 hours (which is $\frac{5}{12} = \frac{25}{60}$ , so 25 mins

so far: 40 mins

then 0.7 and 0.15: we can add those, since they're in decimals: 0.85.

how many minutes is this?

$\frac{85}{100} *60= \frac{85}{10} *6=\frac{85}{5} *3=\frac{13}{1} *3=39$

so 39 mins.

together with the previous 40, it's 79 minutes, which is 1 hour and 19 minutes: so she needs to wake up 1 hour and 19 minutes before 7.40 , which is

6.21!

6 0

2 years ago