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olga55 [171]
3 years ago
7

5ABCD is a quadrilateral. AO and BO are the angle bisectors of A

Mathematics
1 answer:
zysi [14]3 years ago
8 0

Answer:

60°

Step-by-step explanation:

sum of interior angles of quadrilateral is 360°

∠C = 70°

∠D = 50°

∠C + ∠D = 120°

∴ ∠A + ∠B = 360° - 120° =240°

AO and BO bisect ∠A and ∠B

∠OAB + ∠OBA = 1/2 x ( ∠A + ∠B) = 120°

∠AOB = 180° - (∠OAB + ∠OBA) = 180° - 120° = 60°

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Question 18
Svetlanka [38]

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

5 0
3 years ago
The graph of f(x) = x3 + 6x2 + 12x + 8 is shown. Based on the graph, how many real number solutions does the equation x3 + 6x2 +
lianna [129]
SEE ATTACHED IMAGE TO OBSERVE THE GRAPH OF THE FUNCTION.
 For this case, the first thing we should see are the cut points with the x axis.
 We note that the graph cuts to the x-axis at x = -2
 Therefore, x = -2 is the real solution to the polynomial.
 Also this function:
 x3 + 6x2 + 12x + 8
 It can be rewritten as:
 (x + 2) ^ 3
 From where we conclude that its roots are:
 x = -2 (with multiplicity 3)
 Answer:
 
the equation x3 + 6x2 + 12x + 8 = 0 have:
 
x = -2
 
As a real solution with multiplicity 3.

5 0
3 years ago
Read 2 more answers
PLEASE HELP IM STRUGGLING!!!​
Mnenie [13.5K]

Answer:

  • 10. 0.99
  • 11. -60
  • 12. 5.5

Step-by-step explanation:

<u>Use the slope formula:</u>

  • m = (y2 - y1)/(x2 - x1)

10.

  • m = (6.24 - 3.27)/(5 - 2) = 2.97/3 = 0.99

11.

  • m = (240 - 360)/(3 - 1) = -120/2 = -60

12.

  • m = (8.84 - 6.09)/(7 - 2) = 2.75/5 = 5.5
6 0
3 years ago
I need help there’s more than one answer .
myrzilka [38]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
A science fair poster is a rectangle 3 feet long and 2 feet wide. What is the area of the poster in square inches? Be sure to in
vredina [299]
Area = length · width
Area = 3ft · 2ft
Area = 6ft²

hope this helps!
5 0
3 years ago
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