Answer:
92/85
Step-by-step explanation:
Height of Dougal = 1.84 meters
Height of Seb = 1.7 meters
Height of Dougal as a fraction of height of Sab =
= [Simplify the fraction]
=
=
Therefore, fraction of heights will be = 92/85
Answers:
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Angle B: 81° .
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Angle C: 99° .
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Angle D: 81° .
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Explanation:
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Angle B:
_______________________________________________________
Given: m∡A = 99° ;
∡A and ∡B are "supplementary angles" ;
and supplementary angles add up to 180°.
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→ So, m∡B = 180 − 99 = 81° .
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Angle C: 99° .
_______________________________________________________
Explanation:
_______________________________________________________
Given: m∡A = 99° .
∡A and ∡C are "vertical angles". Vertical angles are congruent.
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→ So m∡A = m∡C = 99° .
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Angle D: 81° .
______________________________________________________
Explanation:
______________________________________________________
∡B and ∡D are vertical angles. Vertical angles are congruent.
As previously determined above, m∡B = 81° .
______________________________________________________
→ So, m∡D = m∡B = 81° .
______________________________________________________
Answer:
3/2 x +1 = 5/4x - 5
3/2 x+1 =5/4
x−5
Step 1: Subtract 5/4x from both sides.
3/2 x+1−5/4
x=5
4x−5−5/4x
1/4x+1=−5
Step 2: Subtract 1 from both sides.
1/4x+1−1=−5−1
1/4
x=−6
Step 3: Multiply both sides by 4.
4*(1/4x)=(4)*(−6)
x=−24 Mary has 24 shells
Answer:
-x=−24
x = 24 shells
Step-by-step explanation:
1. 2 3/4 x 16 = 44 + 6 = 50 shells x= 16
2 3/4 x 24 = 66 + 6 = 72 x = 24
We see the side workings in bold as if Mary has 24 and Nancy has 1x more
Then Nancy 24+24 = 48 where Gracie 5 x 24 = 120 and we have 72-48 = 24 and 120-72 = 48 being the same as Nancy. You can ignore or check the rest in explanation.
2 3/4 x 18 = 49 1/2 + 6 = 55 1/2 x= 18
2. 2 3/4 x 16 = 44 -4 = 40 shells x = 16 2 3/4 x 24 = 66 - 4 = 62 x = 24
2 3/4 x 18 = 49 1/2 - 4 = 45 1/2 x = 18
3. 2 3/4 x 16 = 44 + 4 = 48 shells x = 16 2 3/4 x 24 = 66 + 4 = 70 x = 24
2 3/4 x 18 = 49 1/2 + 4 =53 1/2 x = 18
Answer:
Step-by-step explanation:
It could be 42 pencils
There are multiple ways that you could graph this quadratic equation.
I would start by finding the vertex. The x-value in the vertex is found with -b/2a. The take you value and input back into the equation to find the y-value of your vertex.
Then, you could make a list of points on both sides of the vertex to create a table with which to create the parabola.