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cluponka [151]
3 years ago
14

Segment AB is congruent to segment AB. This statement shows the property.

Mathematics
2 answers:
lions [1.4K]3 years ago
4 0
It shows the reflective property
Papessa [141]3 years ago
4 0

Answer: It shows the reflective property.

Step-by-step explanation:

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Barbara is deciding between Banquet Chefs and CeCe's Catering to cater an awards banquet. Barbara needs to choose the company th
zmey [24]

Answer:

In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.  

Step-by-step explanation:

To find out which one will be cheaper you need to know where they intersect, to do this you need to set up a system of equations.

y=28x+590 (chefs)

y=31x+425 (cece's)

to know where they intersect you need to make the y=0

28x+590=31x+425

Then solve

subtract the x from each side

590=3x+425

Subtract 425 from each side

3x=165

divide each side by three

x=55

now evaluate

Place a number above 55 (60 for example) into the place of x

28(60)+590=2,270

31(60)+425=2,285

In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.  

8 0
3 years ago
A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degr
Temka [501]

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

Substitute the values of both angle to solve the equation:

(10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

8 0
2 years ago
Read 2 more answers
If (5,-12) is a point on the terminal side of an angle θ, find the value of sin⁡θ, cos⁡θ, and tan⁡θ.
Bezzdna [24]

Answer:

Given point (5,-12) falls into IV quadrant

<u>The right triangle with legs of 5 and -12, and hypotenuse is:</u>

  • √5² + (-12)² = √25+144 = √169 = 13

<u>Value of sin⁡θ, cos⁡θ, and tan⁡θ:</u>

  • sin⁡ θ = -12/13
  • cos ⁡θ = 5/13
  • tan⁡ θ = -12/5

5 0
2 years ago
3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard devia
Kamila [148]
The z scores corresponding to the mean weight of a rotten apple relative to the apples from either orchard are, respectively,

\dfrac{142-156}9\approx-1.56

\dfrac{165-156}{13}\approx0.69

The mean for the standard normal distribution is 0, which means that z scores closer to 0 represent data points that are more likely to occur. Therefore it's reasonable to believe that rotten apples occur more often in shipments from Zippy's.
3 0
3 years ago
Susie has planned a trip to a city 60 miles away. She wishes to have an average speed of 60 miles/hour for the trip. Due to a tr
Nutka1998 [239]

Answer:

90 mi/h

Step-by-step explanation:

Given,

For first 30 miles, her speed is 30 miles per hour,

Let x be her speed in miles per hour for another 30 miles,

Since, here the distance are equal in each interval,

So, the average speed of the entire journey

=\frac{\text{Average speed for first 30 miles + Average speed for another 30 miles}}{2}

=\frac{30+x}{2}

According to the question,

\frac{30+x}{2}=60

30+x=120

\implies x = 90

Hence, she needs to go 90 miles per hour for remaining 30 miles.

7 0
3 years ago
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