1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
White raven [17]
2 years ago
5

Angle Sum Theorem what is y

Mathematics
2 answers:
Mamont248 [21]2 years ago
6 0

9514 1404 393

Answer:

  y = 90°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. You also know that the sum of the angles of a linear pair is 180°.

Let z represent the measure of the unmarked interior angle at the the lower left of the triangle shown. Then we have ...

  110° + z = 180° . . . . angles of a linear pair are supplementary

  z +2x +70° = 180° . . . Angle Sum theorem

Then we can write ...

  110° +z = z +2x +70°

  110° = 2x +70° . . . . . the exterior angle is equal to the sum of the remote interior angles.

  40° = 2x . . . . . . . . . subtract 70°

  20° = x

Similarly, we have ...

  110° = x + y . . . . . . . exterior angle = sum of remote interior angles

  110° -20° = y = 90° . . . . subtract x=20°

_____

<em>Additional comment</em>

You may be able to get there a lot faster by recognizing z = 180° -110° = 70°, hence the triangle is isosceles. The angle bisector creating angles x is then also an altitude, hence y = 90°.

zaharov [31]2 years ago
5 0

Answer:

y = 90°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. You also know that the sum of the angles of a linear pair is 180°.

Let z represent the measure of the unmarked interior angle at the the lower left of the triangle shown. Then we have ...

110° + z = 180°. are supplementary angles of a linear pair

z +2x +70° = 180°...Angle Sum theorem

Then we can write ...

110° +z = z +2x +70°

110° 2x +70°..... the exterior angle is equal to the sum of the remote interior angles.

40° = 2x......... subtract 70°

20° = x

Similarly, we have ...

110° = x+y....... exterior angle = sum of remote interior angles

40° = 2x.

20° = x

Similarly, we have ...

110° = x + y ....... exterior angle = sum of remote interior angles

110° -20° y = 90°. .... subtract x=20°

Additional comment

You may be able to get there a lot faster by recognizing z = 180° -110° = 70°, hence the triangle is isosceles. The angle bisector creating angles x is then also an altitude, hence y = 90°.

You might be interested in
Please help with this question.
Aneli [31]

Answer:

if I have my calculations right it would be £120

6 0
3 years ago
Jack wants to share his candy with friends. Right now he has 4 1/3 pieces of chocolate. How many friends can he give 1/2 a candy
cricket20 [7]

Answer:

8 Friends

Step-by-step explanation:

First convert 4 1/3 to a mixed fraction

4 1/3 --> 13/3

Then divide by 1/2 to find how many friends per 1/2 candy bar with 13/3 candy bars

(13/3)/(1/2)

=(13*2)/(3*1)

=26/3

8.66667

Since you can't have 0.66667 of a person you get 8 friends to give candy to

3 0
3 years ago
I need help someone help plz
svet-max [94.6K]
Dsadwdsadwdsadwdasdawdasdwdasdawdasdwad
3 0
3 years ago
Write the equation x² + 6x + y² – 8y = 19 in standard form.
kirza4 [7]

Answer:

Formula used :

  • <u>x²+2xy+y²</u><u> </u><u>=</u><u> </u><u>(x+y)²</u>
  • <u>x²-2xy+y²</u><u> </u><u>=</u><u> </u><u>(x-y)²</u>

→{x}^{2}  + 6x +  {y}^{2}  - 8y = 19 \\  ({x}^{2}  + 2.3.x +  {3}^{2} ) +({y}^{2}  - 2.4.y +  {4}^{2} ) = 19 +  {3}^{2}  +  {4}^{2}  \\  {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 19 + 9 + 16 \\  \boxed{ {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 44}✓

  • <u>3) (x+3)²+(y-4)²=44</u> is the right answer.
8 0
3 years ago
Read 2 more answers
F(x) = x + 2 g(x) = x – 4 (f g)(x) =
Sauron [17]

Answer:

x² - 2x - 8

Step-by-step explanation:

The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.

(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8

4 0
3 years ago
Read 2 more answers
Other questions:
  • A cone with volume 2880 m³ is dilated by a scale factor of 1/4. What is the volume of the resulting cone?
    12·2 answers
  • X^2 -9 = -15 i got decimals please help me
    15·2 answers
  • A rectangle as the width of 9 units and length of 40 units. What is the length of the diagonal?
    8·1 answer
  • you select a card at random from 50 cards numbered 1-50 what are the possible out comes for the event of choosing a number that
    11·1 answer
  • Write the equation for k(x) <br>k(x) = 3x + 6
    5·1 answer
  • What is the domain for y=x^2-3
    15·1 answer
  • Question 9 of 10 What is the median of the data set represented by the box plot shown below? A. 67 B. 50 O C. 56 D. 45
    5·1 answer
  • Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
    7·1 answer
  • Enter the number 86.3865 rounded to the nearest hundredth (two decimal places)
    14·2 answers
  • Simplify;<br> (√3 + √2) (√3 + √2)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!