angle <1 ≅ <2 because vertical angles are congruent, CD ≅ BD because a midpoint divides a line segment into two congruent segments.
Step-by-step explanation:
1. Mark the angles formed by the bisecting lines with a "(" and ")" and label both with the numbers 1 and two for each angle to show that there are two angles and that they are congruent to eachother.
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1. put vertical lines through the middle of CD and DB to indicate they are both congruent.
Answer:
There would be 14 cats and 9 dogs
Step-by-step explanation:
In order to find the amount of cats and dogs, we need to set up the system of equations. To do so, start by setting cats as x and dogs as y. Now we can write the first equation to show the total number of animals.
cats + dogs = 23
x + y = 23
Now we can write a second one that shows the difference in the number of cats and dogs.
cats - dogs = 5
x - y = 5
Now we can add the two equations together to solve for x.
x + y = 23
x - y = 5
2x = 28
x = 14
Now that we have the number of cats, we can find the number of dogs by using either equation.
x + y = 23
14 + y = 23
y = 9
Answer:
7. parallel: k = 3
perpendicular: k = -4/3
8. $1300
Step-by-step explanation:
7.
Rewrite each equation as the slope-intercept form of a linear equation:
y = mx + b (where m is the slope and b is the y-intercept)
8y = 12x + 6
⇒
4y = k(2x + 10)
⇒ 4y = 2kx + 10k
⇒
If the graphs are parallel their slopes will be the same.
If the graphs are perpendicular then the product of their slopes will be -1.
8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).
Choose 2 ordered pairs from the table: (10, 110) and (20, 195)
Let = (10, 110)
Let = (20, 195)
Use the slope formula to find the slope m:
Now use the point-slope form of linear equation:
Substitute x = 150 into the equation and solve for y:
Therefore, the total cost of ordereing 150 mugs is $1300
Answer:
the winner was 1.4m/s quicker
Step-by-step explanation:
i think it is:
average speed= m:s
fay= 300: 50= 6m/s
tia= 300: 65= 4.6m/s
6-4.6= 1.4
Okay so,
Answer:
<span><span>=1<span>56</span></span><span>=1<span>56</span></span></span>Solution 1 by separating partsEliminating a negative and changing our operation.<span><span>=<span>63</span>−<span>16</span></span><span>=<span>63</span>−<span>16</span></span></span>Solving the fraction parts<span><span><span>63</span>−<span>16</span>=?</span><span><span>63</span>−<span>16</span>=?</span></span>Find the LCD of 6/3 and 1/6<span> and rewrite to solve with the equivalent fractions.</span>
LCD = 6
<span><span><span>126</span>−<span>16</span>=<span>116</span></span><span><span>126</span>−<span>16</span>=<span>116</span></span></span>Simplifying the fraction part, 11/6,<span><span><span>116</span>=1<span>56</span></span><span><span>116</span>=1<span>56</span></span></span>Solution by Formulasreducing where possible, our initial equation becomes,<span><span><span>21</span>+<span><span>−1</span>6</span></span><span><span>21</span>+<span><span>−1</span>6</span></span></span><span>Applying the </span>fractions formula for addition,<span><span>=<span><span>(2×6)+(−1×1)</span><span>1×6</span></span></span><span>=<span><span>(2×6)+(−1×1)</span><span>1×6</span></span></span></span><span><span>=<span><span>12+−1</span>6</span></span><span>=<span><span>12+−1</span>6</span></span></span><span><span>=<span>116</span></span><span>=<span>116</span></span></span>Simplifying 11/6, the answer is 1 5/6