All categories

3 years ago

Find the missing angle according to the Triangle Sum Theorem.

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

The answers to the missing angle is 40°

You might be interested in

Select the correct answer.<br> Which of these is not a key feature of the function

kkurt [141]

Answer:

what is the answer to this question?

Step-by-step explanation:

7 0

4 years ago

The baseball team needs new equipment. Company A can provide 9 helmets, 6 bats, and 12 balls for $525. Company B can provide 10

Olin [163]

Answer:

Choice A.

Step-by-step explanation:

Let x = price of a helmet, y = price of a bat, z = price of a ball.

Company A can provide 9 helmets, 6 bats, and 12 balls for $525.

9x + 6y + 12z = 525

Company B can provide 10 helmets, 8 bats, and 10 balls for $600.

10x + 8y + 10z = 600

Company C can provide 8 helmets, 5 bats, and 15 balls for $500.

8x + 5y + 15z = 500

Answer: Choice A.

6 0

3 years ago

Read 2 more answers

A small theater had 9 rows of 25 chairs each. An extra 7 chairs have just been brought in. How many chairs are in the

Alchen [17]

Answer:

232

Step-by-step explanation:

9 x 25 = 225 225 + 7 = 232

another way to find it

9 x 20 = 180 9 x 5 = 45 180 + 45 = 225 + 7 = 232

8 0

3 years ago

Sami made 23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his

xxTIMURxx [149]

Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour

7 0

3 years ago

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$

When,

$\bullet\: \textsf {x = } \textbf {15}$

$\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}$

$\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.$

5 0

3 years ago