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sp2606 [1]
3 years ago
5

Is it congruent or not ? Remember that the diagram may not be drawn to scale . justify your conclusion.

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Yes, we can see each triangle has congruent angle, side, angle, respectively (SAD). When two triangles have these correlating congruences, they can be determined as congruent.

You might be interested in
A rectangle has a width of 59 centimeters and a perimeter of 238 centimeters. What is the rectangle's length?
Mademuasel [1]

Answer:

60 cm

Step-by-step explanation:

2x the width and 2x the length gives you the perimeter. This can be represented by the equation:

2w + 2L = P

Use the information given in the word problem to fill in the variables.

2(59) + 2L = 238

118 + 2L = 238

move 118 to the other side of the equation.

2L = 238 - 118

2L = 120

move 2 to the other side of the equation.

L = \frac{120}{2}

L = 60

5 0
3 years ago
Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer th
solniwko [45]

Answer:

The total surface area of all 6 prisms is 6336 in^2.

Step-by-step explanation:

Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.

One prism:

The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);

The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,

The area of the 10 in by 26 in base is 260 in^2.

The total surface area of ONE prism is thus:

676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.

Now, because there are 6 of these prisms, multiply this last result by 6:

6(1056 in^2) = 6336 in^2.

The total surface area of all 6 prisms is 6336 in^2.

7 0
3 years ago
A particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams. The heavies
RoseWind [281]

Answer:

The heaviest 5% of fruits weigh more than 747.81 grams.

Step-by-step explanation:

We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.

Let X = <u><em>weights of the fruits</em></u>

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean weight = 733 grams

            \sigma = standard deviation = 9 grams

Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;

                    P(X > x) = 0.05       {where x is the required weight}

                    P( \frac{X-\mu}{\sigma} > \frac{x-733}{9} ) = 0.05

                    P(Z > \frac{x-733}{9} ) = 0.05

In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;

                               \frac{x-733}{9}=1.645

                              {x-733}}=1.645\times 9

                              x = 733 + 14.81

                              x = 747.81 grams

Hence, the heaviest 5% of fruits weigh more than 747.81 grams.

8 0
3 years ago
Find the perimeter of the figure.
gulaghasi [49]

Answer:

27in

Step-by-step explanation:

So, perimeter means we add all the sides together, as opposed to area, where we multiply them together.

9 - 5 = 4.

So the perimeter of the triangle would be:

3+4+\sqrt{3^2+4^2}=12

5 + 5 + 4 +1 (the 1 is from 4 -3) = 15

15 + 12 = 27

6 0
3 years ago
Y=6x – 11<br> -2x – 3y =-7
Eva8 [605]

Answer:

x=2   and   y=1

Step-by-step explanation:

1). Plug the y value into the second equation. It will look like the following afte you plug in what y equals:

              -2x-3(6x-11)=-7

2). Then, you distribute the "-3" to all the terms inside the parenthesis.

              -2x-18x+33=7

3). Then, you subtract the positive 33 from both sides to try to get the x alone on one side.

              -2x-18x=-40

4.) Then, you combine all of the terms containing an x.

              -20x=-40

5). Finally, you divide both sides by -20 and the outcome is x=2.

6).  Hold up...we ain't done yet..

7).  Next, you have to plug the x back into the either equation to get the outcome of what y will be, but for this purpose I will plug it back into the first equation.

              y=6(2)-11

8). I will then distribute the 6 into the all the terms in the parenthesis and then it will look like this.

              y= 12-11

9). Do the math...and the answer is y=1.

4 0
3 years ago
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