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3 years ago

In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C

Mathematics

1 answer:

aleksklad [387]3 years ago

4 0

Answer:

m<B = m<C = 55

Step-by-step explanation:

Since those two sides are congruent, the base angles are congruent.

m<B = m<C = x

m<A + m<B + m<C = 180

70 + x + x = 180

2x + 70 = 180

2x = 110

x = 55

m<B = m<C = 55

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2 years ago

Which equation represents an inverse variation?

Sphinxa [80]

Answer: Choice C) y = 30/x

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3 years ago

Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed o

kvv77 [185]

The left-handed students
12% are left handed, percent means per hundred. Change percent into per 100.
12% = $\dfrac{12}{100}$

Then simplify the fraction by dividing the numerator and denominator by 4
$\dfrac{12}{100}$
= $\dfrac{12:4}{100:4}$
= $\dfrac{3}{25}$
This is the fraction showing the proportion of the left-handed students

The right-handed students
Determine the fraction showing the proportion of the right-handed students
1 - the left-handed
= 1 - $\dfrac{3}{25}$

Equalize the denominator to 25
$\dfrac{25}{25} - \dfrac{3}{25}$

Simplify
$\dfrac{21}{25}$
This is the proportion of the right-handed students

Are there more right-handed or left-handed students?
There are more right-handed students than the left-handed students, because 21/25 is more than 3/25

4 0

3 years ago

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

mezya [45]

Answer:

The number of Pumpkin can used = 48 cans

The number of Green Beans can used = 16 cans

Step-by-step explanation:

The ratio of Pumpkin to Green Beans = 3 : 1

So, for every 3 can of Pumpkin, 1 can of green beans is used.

Now, the total number of John wants to use = 64

Let us assume the common factor in the ratio is m.

⇒ The number of Pumpkin can used = 3 m

The number of Green Beans can used = 1 m = m

So, the Total cans used = Number of (Pumpkin + Green Beans) can

⇒ 3 m + m = 64

or, 4 m = 64

⇒ m = 64/ 4 = 16

Hence, The number of Pumpkin can used = 3 m = 3 x 16 = 48 cans

The number of Green Beans can used = m = 16 cans

3 0

3 years ago