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Tamiku [17]
3 years ago
13

How much money can MrDrew save by buying one large box of dog biscuits for $0.96 rather than the same number of dog biscuits in

2 small boxes for $0.59 each?
Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0
$0.59 times 2= $1.18
$1.18-$0.96=$0.22
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In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x
Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA  = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved


7 0
3 years ago
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Two angles are complementary. The measure of the larger angle is 10 more than 4 times the measure of the smaller angle. Find the
slamgirl [31]

Answer:

16 = small

74 = big

Step-by-step explanation:

4x+10 = big angle

x = small angle

4x+10+x = 90

5x+10 = 90

5x = 80

x = 16

4 x 16 + 10 = 74

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Translate: twice the sum of a number and 9 equals 7 into an equation
Ghella [55]
equals\ 7\to=7\\sum\ of\ a\ number\ and\ 9\to n+9\ (n-the\ number)\\twice\ the\ sum\ ...\to2(n+9)\\\\Answer:\boxed{2(n+9)=7}\\\\solution:\\\\2(n+9)=7\ \ \ \ |divide\ both\ sides\ by\ 2\\n+9=3.5\ \ \ \ |subtract\ 9\ from\ both\ sides\\\boxed{n=-5.5}
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3 years ago
What is the slope of this line of best fit?
Bas_tet [7]

Answer:

The slope of the line of best fit is \frac{-6}{7}  ⇒ 2nd option

Step-by-step explanation:

The formula of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>

From the attached graph points (1 , 9) and (8 , 3) are the best choice

∵ The line passes through points (1 , 9) and (8 , 3)

∴ x_{1} = 1 and x_{2} = 8

∴ y_{1} = 9 and y_{2} = 3

- Substitute them in the formula of the slope

∴ m=\frac{3-9}{8-1}=\frac{-6}{7}

∴ The slope of the line of best fit is \frac{-6}{7}

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2.5 x 1 1/10 x 9/3 / 1/2
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4.125 is the answer
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