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vekshin1
3 years ago
13

Find the length of the hypotenuse of a right triangle if a = 3 and b = 4.

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0
The answer is the hypotenuse has a length of 5.
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Please help i don’t understand this
swat32

Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.

In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.

These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.

So, the two rectangles are similar if the following is true.

4\div 5 = 11\div 12

In any proportion, the product of the inner terms must be the same as the product of the outer terms:

4\cdot 12 = 5\cdot 11 \iff 48=55

This is clearly false, and thus the two rectangles are not similar.

5 0
3 years ago
The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph repres
dexar [7]

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

<h3>What is the perimeter?</h3>

This is the total distance of all the sides in a shape. Due to this, the general formula is:

  • Perimeter = side + side + side.

<h3>What is the perimeter of the doghouse?</h3>
  • Horizontal side: 8 feet
  • Vertical sides: 10 feet
  • Diagonal sides: 10 feet

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

Learn more about perimeter in: brainly.com/question/6465134

#SPJ1

7 0
2 years ago
HELP ASAP!!!!! Given: Point B is on the perpendicular bisector of AC¯¯¯¯¯. BD¯¯¯¯¯ bisects AC¯¯¯¯¯ at point D. Prove: B is equid
Harlamova29_29 [7]

Answer:  Missing parts are,

In first blank,  AD\cong DC,

In second blank, SAS postulate

In third blank, CPCTC postulate

Step-by-step explanation:

Since, Here D is the mid point on the line segment AC.

And BD is a perpendicular to the line AC.

Therefore, In triangles ADB and CDB ( shown in figure)

AD\cong DC ( By the definition of mid point)

\angle BDA\cong \angle BDC ( right angles )

BD\cong BD ( reflexive)

Thus, By SAS ( side angle side )postulate,

\triangle ADB\cong \triangle CDB

So, by CPCTC( Corresponding parts of congruent triangles are congruent)

AB\cong CB

Now, By definition of congruent segment,

AB=CB

By definition of equidistant,

B is equally far from both A and C.




7 0
3 years ago
Read 2 more answers
The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. the standard deviation of this dat
jenyasd209 [6]

Answer:

i)

the standard deviation of this data is 2.2

ii) 84%

Step-by-step explanation:

We have been informed that the data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. This implies that we shall be dealing with the applications of the empirical rule.

In a normal distribution, the mean is also the mode as well as the median of the distribution. This implies that the mean is at the center of the distribution. In our case, the mean is 4.8. The vertical lines represents data points that lie 1, 2 and 3 standard deviations away from the mean.

From the graph, both 11.4 and -1.8 lie 3 standard deviations away from the mean on either side. We can thus use the following equation to solve for the unknown standard deviation;

mean + 3(sigma) = 11.4

where sigma is the standard deviation.

our mean is 4.8, therefore;

4.8 + 3(sigma) = 11.4

3(sigma) = 6.6

sigma = 2.2

ii)

In order to determine the percentage of the population that will fall below the mark of 7, we shall first determine how many standard deviations away from the mean the value 7 lies.

To do this, we can use the following equation;

4.8 + n(2.2) = 7

2.2n = 2.2

n = 1

Therefore, the data point 7 lies one standard deviation away from the mean to the right.

The percentage of the population that will fall below one standard deviation away from the mean is;

68 + 13.5 + 2.35 = 83.85%

Using the empirical rule

8 0
3 years ago
There are 8 brooms and 6 mops in a janitor's closet. What is the ratio of the number of mops to the total number of brooms and m
shepuryov [24]
B 3:7

If there are 6 mops, and 14 mops and brooms, you get 6:14, which simplifies to 3:7.
3 0
3 years ago
Read 2 more answers
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