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GrogVix [38]
3 years ago
13

A central angle of a circle measures 42 degrees. What else can be shown to measure 42 degrees?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

Vertically opposite angles

Step-by-step explanation:

Given

\theta = 42^\circ

Required

What else can measure \theta = 42^\circ

The question has missing options. So, I will give a general explanation.

Using the attached image as a point of reference.

Given that:

\theta = 42^\circ

The value of b is calculated as:

b = \theta

Because b and \theta are vertically opposite angles

<em>This gives:</em>

<em></em>b = 42^\circ<em></em>

<em></em>

<em>So, one possible answer to the question is a vertically opposite angle</em>

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Please help. I’ll mark you as brainliest if correct!!!
raketka [301]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
Mary is twice as old as her brother Zane.Zane is four years less than twice as old as his cousin chase.If chase is 4 years old,h
zzz [600]

Answer:

Mary is 8 and that Zane and Chase are both 4 years old.

Step-by-step explanation:

For this equation, we will say Mary = M, Zane = Z, and Chase = C.

We will now convert the word problem into equations.

2m = z, 2c - 4 = z, c = 4

Now I will solve the equations by putting C into the equation.

2(4) = 8, 2(4) - 4 = 4, c = 4

So we can see that Mary is 8 and that Zane and Chase are both 4 years old.

7 0
3 years ago
Select the correct product.
vfiekz [6]
The correct answer is:  [A]:  " 2x³  +  7x² + 12x − 8 " .
______________________________________________________

Explanation:
__________________________________________
Given:  
__________________________________________
" (x² + 4x + 8) (2x − 1) "  ;  Find the product: 

↔  " (2x − 1) (x² + 4x + 8) "  ; 
__________________________________________

Note:  " (a + b) (c + d + e) = ab + ad + ae + bc + bd + ae " .
__________________________________________

  →  " (2x − 1) (x² + 4x + 8) = 

      (2x * x²) + (2x * 4x) + (2x *8)  + (-1 * x²) + (-1 * 4x) + (-1 * 8) ; 

 =    2x³ + 8x² + 16x + (-1x²) + (-4x) + (-8) ; 

=     2x³ + 8x² + 16x − x² − 4x − 8) ; 

→ Combine the "like terms" :

        + 8x² − x² =  + 7x² ; 

        + 16x − 4x =  + 12x ; 
_______________________________________________________
And rewrite the expression:
_______________________________________________________
   →  " 2x³  +  7x² + 12x − 8 " ;

   → which is:  Answer choice:  [A]:  " 2x³  +  7x² + 12x − 8 " .
_______________________________________________________
7 0
3 years ago
Kyle purchased a 20 lb. pumpkin for $5.95. Elizabeth purchased a 15 lb. pumpkin for $5.00. Elijah purchased an 8 oz. pumpkin for
Ivan

Kyle purchased a 20 lb. pumpkin for $5.95.

Cost per lb of pumpkin for Kyle = 5.95/ 12 = $0.496.

Elizabeth purchased a 15 lb. pumpkin for $5.00.

Cost per lb of pumpkin for Elizabeth = 5.00/15 = $0.333.

Elijah purchased an 8 oz. pumpkin for $ 0.16.

16 oz = 1 lb

8 oz = 0.5 lb.

Cost per lb of pumpkin for Elijah = 0.16/ 0.5 = $ 0.32.

<h3>Cost per lb of pumpkin for Elijah is $ 0.32 is the lowest price per lb of pumpkin .</h3><h3>Cost per lb of pumpkin for Kyle is $ $0.496 is the highest price per lb of pumpkin .</h3><h3>Therefore, Elijah got the best deal and Kyle got the worst deal.</h3>

3 0
3 years ago
At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals fr
Dennis_Churaev [7]
The initial investment = $250
<span>annual simple interest rate of 3% = 0.03
</span>
Let the number of years = n
the annual increase = 0.03 * 250
At the beginning of year 1 ⇒ n = 1 ⇒⇒⇒ A(1) = 250 + 0 * 250 * 0.03 = 250

At the beginning of year 2 ⇒ n = 2 ⇒⇒⇒ A(2) = 250 + 1 * 250 * 0.03
At the beginning of year 3 ⇒ n = 3 ⇒⇒⇒ A(2) = 250 + 2 * 250 * 0.03
and so on .......
∴ <span>The formula that can be used to find the account’s balance at the beginning of year n is:
</span>
A(n) = 250 + (n-1)(0.03 • 250)
<span>At the beginning of year 14 ⇒ n = 14 ⇒ substitute with n at A(n)</span>
∴ A(14) = 250 + (14-1)(0.03*250) = 347.5

So, the correct option is <span>D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50 </span>
4 0
4 years ago
Read 2 more answers
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