All categories

3 years ago

Angle bisectors AX and of triangle ABC meet at point I. Find angle C in degrees, if AIB = 109.

Mathematics

1 answer:

UkoKoshka [18]3 years ago

6 0

Answer:

angle C = 38 degrees

Step-by-step explanation:

Refer to attached figure (sorry, forgot to attach earlier)

Given

AIB = 109

Let

CAX = XAB = x

CBY = YBA = y

XIB = YIA = x+y ........exterior angles

XIB = YIA = 180-109 = 71 ............ sum of angles on a line

x+y = 71

ACB = 180 - 2x -2y ................. sum of angles of a triangle

= 180 - 2(x+y)

= 180 - 2(71)

= 180 - 142

= 38

You might be interested in

Quick I need an answer to this Queston:

fiasKO [112]

Step-by-step explanation:

$- \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1$

$- \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2}$

$\frac{ - 3x + 9}{4} = \frac{2x + 4}{4}$

$- 3x + 9 = 2x + 4$

$- 3x - 2x = 4 - 9$

$- 5x = - 5$

$x = \frac{ - 5}{ - 5}$

$x = 1$

The answer is C.

6 0

1 year ago

Raquel can type 63 words every minnute.Rick type then Raquel in 135 minute?Circle the letter of the correct answer.A 1350 B 4599

lozanna [386]

Answer: 1350

Step-by-step explanation:

Here is the correct question.

Raquel can type an average of 63 words per minute. Rick can type 73 words per minute. how many more words can Rick type than Raquel in 135 minutes? Jared chose B as the correct answer. How did he get that answer? Jared said the answer is 4599. How did he get that answer?

Rick's word per minute= 73

Raquel's word per minute= 63

Ricks word in 135minute= 73×135 = 9855

Raquel's word in 135 minutes=63×135 = 8505

=9855 - 8505

= 1350

Rick can type 1350 more words than Raquel in 135 minutes.

Jared's answer is wrong. He got the answer by multiplying 63 by 73 which gives 4599.

8 0

3 years ago

Read 2 more answers

Hii guys I need help with this I took a screenshot of it.

eduard

Answer:

x <= 9

Step-by-step explanation:

x -15 <= -6

+15. +15

x <=9

8 0

2 years ago

Toko follows a budget to buy supplies to paint his room. He spends 1/2 of his budget on a roller, a tray, and tape. He spends $1

Natasha_Volkova [10]

The answer is $36.

B - budget
So the calculation is as following:
$B= \frac{1}{2}B + 12.27 + \frac{3.82}{ \frac{2}{3} } = \frac{1}{2}B + 12.27 + \frac{3.82*3}{2}= \frac{1}{2}B + 12.27 +5.73$
$B= \frac{1}{2} B + 18$
$B- \frac{1}{2}B = 18$
$\frac{1}{2}B = 18$
$B = 18*2=36$

3 0

3 years ago

Evaluate<br> 2x - Y when x= 5, y=3

Allushta [10]

Answer:

the answer is 7

Step-by-step explanation:

2x-y

2*5 - 3

10 - 3

7 0

2 years ago