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Tatiana [17]
2 years ago
8

Which expression is equivalent to 9x5y16 this is timed help

Mathematics
1 answer:
Nuetrik [128]2 years ago
7 0
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Need help with inscribed angles If M
Cloud [144]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and m\angle BCD=30^\circ.

To find:

The m\angle AOB.

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

\angle OBA\cong \angle BCD        [Alternate interior angles]

m\angle OBA=m\angle BCD

m\angle OBA=30^\circ

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

The base angles of an isosceles triangle are congruent. So,

\angle OAB\cong \angle OBA      [Base angles of an isosceles triangle]

m\angle OAB=m\angle OBA

m\angle OAB=30^\circ

Using the angle sum property in triangle AOB, we get

m\angle OAB+m\angle OBA+m\angle AOB=180^\circ

30^\circ+30^\circ+m\angle AOB=180^\circ

60^\circ+m\angle AOB=180^\circ

m\angle AOB=180^\circ-60^\circ

m\angle AOB=120^\circ

Hence, the measure of angle AOB is 120 degrees.

4 0
2 years ago
How are the interior and exterior angles of a triangle related ?
yaroslaw [1]
The interior and exterior triangles are related because they are in the pyramid x + c = Triangle so thats how
4 0
3 years ago
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What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)
wolverine [178]

Answer: 16 square units

Step-by-step explanation:

let the vertex in quadrant I be (x,y)  

then the vertex in quadratnt II is (-x,y)  

base of the rectangle = 2x  

height of the rectangle = y  

Area = xy  

= x(12 - x²)  

= -x³ + 12x  

d(area)/dx = 3x² - 12 = 0 for a maximum of area  

3x² = 12  

x² = 4  

x = ±2  

y = 12-4 = 8

So, the largest area = 2 x 8 = 16 square units

7 0
3 years ago
What are compatible numbers?
posledela
Numbers that are close in value to the actual numbers.
4 0
2 years ago
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What is the slope intercept of 2y=14-4x
pentagon [3]
7, 14 would be it but you have to divide the whole equation by 2 to get the y alone
4 0
3 years ago
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