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Deffense [45]
4 years ago
11

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 122 degrees, what does ADC measures

?
Mathematics
1 answer:
iren2701 [21]4 years ago
5 0

Answer:

61°

Step-by-step explanation:

Angle extended to the circumference is half the angle at the centre

ADC = ½ ABC = ½ × 122 = 61

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Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, do
hichkok12 [17]

Answer:

C  None of the above

Step-by-step explanation:

Here are the required options

Choose all answers that apply

A  (5g+3h).8  

B  (5g+3h).6  

C  None of the above

Given the expression;

(5g+3h+4).2

Expand

(5g+3h+4).2

= 2(5g+3h+4)

= 2(5g) + 2(3h) + 2(4)

= 10g+6h+8

Checking option A;

(5g+3h).8

Expand

= 8(5g+3h)

= 8(5g) + 8(3h)

= 40g+24h

Checking option B:

(5g+3h).6

Expand

= 6(5g+3h)

Using the distributive law;

= 6(5g) + 6(3h)

= 30g+18h

Since none of the expressions for A and B is equivalent to 10g+6h+8, hence <u>NONE of the options are correct</u>

6 0
3 years ago
Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle R? You must show all work and calcu
Radda [10]

You can inscribe a quadrilateral inside a circle if and only if its opposite angles are supplementar. In your case, this means that

\hat{O} + \hat{Q} = \hat{R} + \hat{P} = 180^\circ

Since we're interested in the angle R, let's use the second part of the equalities above to substitute the given values for R and P:

\hat{R} + \hat{P} = 3y+8+y = 180^\circ

The left hand side can be simplified to 4y+8, so if we subtract 8 from both sides the equation becomes

4y = 172 \implies y = \cfrac{172}{4} = 43

Since y = 3, we can compute the angle R by plugging this value into its formula:

R = 3y+8 = 3\cdot 43 + 8 = 129+8 = 137

3 0
3 years ago
A jar has 3 green jelly beans and 5 red jelly beans. What’s the odds of selecting a green jelly bean?
melamori03 [73]
37.5%
3 + 5 = 8
3 jelly beans are green and in total there is 8
3/8 = 0.375 = 37.5%
8 0
3 years ago
The difference between two numbers is 10. The smaller number is 8.
Lunna [17]

Answer:

x - 8 = 10

Step-by-step explanation:

The smallest number is 8 so it's subtracting 8. 10 is the difference between the two numbers because it's the answer.

4 0
3 years ago
Is 0.18 a terminating, repeating, or non repeating decimal
Paha777 [63]

Answer:

a non repeating decimal

Step-by-step explanation:

answer from alexa device

6 0
3 years ago
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