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3 years ago

What is the measure of 3? triangle on right has angles labeled forty-four degrees, sixty-six degrees, and three.?

1 answer:

4 0

[1] First, remember that the sum of the angles in a triangle must add up to 180*.

[2] We are told two of the angles, 44* and 66*, but we are missing the third.

[3] Combining [1] and [2], we know that 44* + 66* + ? = 180*. In other words,
110* + ? = 180*
so,
? = 70*

The missing angle 3 is equal to 70 degrees.

You might be interested in

Find the volume of the cone shown, if r=8 cm and AC=AB=17 cm

Papessa [141]

Answer:

1005.3 cm³

Step-by-step explanation:

The radius of the cone (r) is 8 cm and the slant height is AC = AB = 17 cm.

Therefore, the height of the cone (h) will be given by $\sqrt{17^{2} - 8^{2}} = \sqrt{225} = 15$ cm.

We have to calculate the volume of the cone.

Therefore, the volume of the cone will be given by $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3} \times \frac{22}{7} \times 8^{2}\times 15$

= 1005.3 cm³ (Answer)

3 0

3 years ago

The difference of 4 times a number and 7 is 13

vekshin1

I believe the answer is either 5 or -1.5

4n - 7 = 13
7 - 4n = 13

4(5) - 7 = 13
7 - 4(-1.5) = 13

4(5) - 7 = 13

4 0

3 years ago

Which polynomial is in standard form?

Elina [12.6K]

the

first equation is the answer of this question.

explanation

where the xy is in sequence so it is the standard form of polynomial

8 0

2 years ago

Solve for x: 1 1/5 x -2 1/3 < 1/7 x+ 1 1/2

Firlakuza [10]

Solving inequalities is similar to solving a regular equation. The only thing you need to worry about with inequalities is that when you are dividing or multiplying by a negative number, you must flip the inequality sign. You won't have to worry about that here if the coefficient in front of x is positive when you divide!

Also remember:
- To add/subtract fractions, you have to turn all mixed numbers into improper fractions (if needed), <span>find a common denominator on both fractions (if needed), add/subtract the numerators, put the sum/difference over the common denominator, and simplify if needed.

- To multiply fractions, multiply the numerators and multiply the denominators. Put the product of the numerators over the product of the denominators.

- To divide fractions, remember that dividing by a fraction is the same as multiplying by the inverse of that fraction (aka fraction flipped).

- To turn mixed numbers into improper fractions, multiply the whole number by the denominator of the fraction. Add the numerator of the fraction to the product you get, and put that final sum over the original denominator.

Back to the problem:
</span>You are told that $1 \frac{1}{5} x - 2 \frac{1}{3} \ \textless \ \frac{1}{7} x + 1 \frac{1}{2}$ and you have to solve for x.
<span>
1) </span>Using the info for converting mixed numbers to improper fractions from above, you know that $1 \frac{1}{2} = \frac{3}{2}$ and $2 \frac{1}{3} = \frac{7}{3}$ and $1 \frac{1}{5} x = \frac{6}{5} x$ . Now add/subtract using the info above, isolating the variable x by adding $2 \frac{1}{3}$ to both sides and subtracting $\frac{1}{7} x$ from both sides.
$1 \frac{1}{5} x - 2 \frac{1}{3} \ \textless \ \frac{1}{7} x + 1 \frac{1}{2}\\
\frac{6}{5} x - \frac{7}{3} \ \textless \ \frac{1}{7} x + \frac{3}{2}\\
(\frac{6}{5} x - \frac{1}{7} x) \ \textless \ (\frac{3}{2} + \frac{7}{3})\\
(\frac{42}{35} x - \frac{5}{35} x) \ \textless \ (\frac{9}{6} + \frac{14}{6})\\
 \frac{37}{35} x \ \textless \ \frac{23}{6}$

2) Divide both sides by $\frac{37}{35}$ to get the inequality for x. Remember the info for dividing from above:
$\frac{37}{35} x \ \textless \ \frac{23}{6}\\
x \ \textless \ \frac{23}{6} \div \frac{37}{35} \\
x \ \textless \ \frac{23}{6} \times \frac{35}{37} \\
x \ \textless \ \frac{805}{222}$

Your final answer is x < $\frac{805}{222}$ or x < $3 \frac{139}{222}$ .

3 0

3 years ago

Which set of numbers includes only integers?

torisob [31]

The last one since it contains only fractions

4 0

3 years ago

Read 2 more answers