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trasher [3.6K]
4 years ago
9

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations co

uld be used to find Hannah's age, h, if she is the older sibling?
Mathematics
1 answer:
Wewaii [24]4 years ago
6 0

Answer:

h = Hannah's age

h - 2 = Anthony's age

Hannah is 47, Anthony is 45

Step-by-step explanation:

Using one variable and an expression with the same variable, you can find the sum of the siblings ages:

h = Hannah's age

h - 2 = Anthony's age

h + (h - 2) = 92

Combine like terms: 2h - 2 = 92

Add '2' to both sides: 2h - 2 + 2 = 92 + 2 or 2h = 94

Divide by 2: 2h/2 = 94/2

Solve for h:  h = 47 years old (Hannah)

h - 2 = 45 years old (Anthony)

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√70 is between which two numbers on the number line?
Leto [7]

Answer:

C) 8 and 9

Step-by-step explanation:

We know that 70 is between two perfect squares.

The square numbers 64 and 81 can help us solve this question.

64<70<81

We take square root to get:

\sqrt{64}  \:  <  \:  \sqrt{70}  <  \sqrt{81}

We simplify this to get:

8 \:  <  \:  \sqrt{70}  \:  <  \: 9

Therefore √70 is between 8 and 9.

The correct option is C.

6 0
3 years ago
Algebra 2B U2 L6 Function Operations practice 8-10
Bess [88]

Answer:

1) f(g(0)) = 0

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3)  g(g(0)) = 8

Step-by-step explanation:

Here, the given functions are:

g(x)  =  3 x +2 and f(x)=  (x-2)/3

1. Now, f(g(x))  =   f(3x+2)

Also,  f(3x+2) = (3x+2 -2) /3 = x

So, f(g(x)) = x

⇒ f(g(0)) = 0

2.  g(f(x))  = g((x-2)/3) = 3((x-2)/3) +2

or, g(f(x)) =   x

⇒  g(f(2)) =   3((2)-2/3) +2   = 2  

or, g(f(2)) = 2

3.  g(g(0)= g( 3 (0) +2)  = g(2)

Now, g(2)  = 3(2) +  2 = 6 +  2 = 8

or, g(g(0)) = 8

6 0
3 years ago
What is the area of this polygon?<br>​
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Answer:

<h2><em>3</em><em>9</em><em> </em><em>units</em></h2>

<em>Solution,</em>

<em>Total </em><em>area=</em><em>Area </em><em>of </em><em>ABCD+</em><em> </em><em>Area </em><em>of </em><em>triangle </em><em>ADE</em>

<em>(ab \times bc) +  \frac{1}{2}  \times ad \times ef \\  = (5 \times 6) +   \frac{1}{2}  \times 6 \times 3 \\  = 30 + 9 \\  = 39 \:  {units}^{2}</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

7 0
3 years ago
I need help figuring out what are the coordinates of point Q
irinina [24]

Answer:

(x,0)

Step-by-step explanation:

5 0
3 years ago
Can someone help me solve this?
Sergio [31]

Answer:

m<c = 104°

m<d = 80°

Step-by-step explanation:

Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:

m<c + 76° = 180°

m<c + 76° - 76° = 180° - 76° (subtraction property of equality)

m<c = 104°

m<d + 100° = 180°

m<d +100° - 100° = 180° - 100° (subtraction property of equality)

m<d = 80°

8 0
3 years ago
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