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Strike441 [17]
2 years ago
13

Question 4

Mathematics
1 answer:
marissa [1.9K]2 years ago
3 0

Answer:

1.0 ".0,2

Step-by-step explanation:

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Angle ABC is inscribed in a circle as shown.<br><br>What is the measure, in degrees, of angle ABC?
sladkih [1.3K]

Answer

Find out the measure, in degrees, of angle ABC .

To prove

The relationship between inscribed angles and their arcs

The measure of an inscribed angle is half the measure the intercepted arc.

The formula is  

Measure\ of\ inscribed\ angle = \frac{1}{2}\times measure\ of\ intercepted\ arc

As given in the diagram

The measure of the intercepted arc A to B is 120°.

Put value in the formula

\angle ABC = \frac{1\times 120^{\circ}}{2}

∠ABC = 60°

Therefore the measure of the ∠ABC is 60° .


5 0
3 years ago
31y+12y= combine like terms
Varvara68 [4.7K]

Answer:

43y

Step-by-step explanation:

31y+12y

combine like terms

Factor out y

y( 31+12)

y (43)

43y

3 0
3 years ago
Read 2 more answers
What is the measurement of angle POR
IgorLugansk [536]

Let us observe the given figure,

When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.

As, we can observe that the given lines intersect each other, and they form vertically opposite angles as \angle POR , \angle SOQ and  \angle POS , \angle ROQ

Therefore, \angle POR = \angle SOQ

Substituting the given measures of the angles, we get

91-x^\circ = x+ 7^\circ

91-7 = x + x

84 = 2x

x = \frac{84}{2}

So, x = 42^\circ

Since, the measure of angle POR = (91-x)^\circ

= (91-42)^\circ

= 49^\circ

Therefore, the measure of angle POR is 49 degrees.

8 0
3 years ago
WORTH 20 POINTS IF CORRECT! Write the slope-intercept form of the equation of each line show or explain your work. 1. is (0,4) (
Nookie1986 [14]

Answer:

1. y=5/2x+4

2. y=-7x-3

Y=mx+b is slope intercept form

Step-by-step explanation:

You have to add it in the slope intercept formula

2. M=-7   and B=-3

so y=-7x-3

M = 5/2       B = 4

So y = 5/2x+4

4 0
3 years ago
Solve 4(-8x+5)=-32x-26
VikaD [51]

the statement is false.


6 0
3 years ago
Read 2 more answers
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