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3 years ago

How do I know if it’s similar, congruent or neither?

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

These two triangles are congruent.

Step-by-step explanation:

You know this bc the markings on the drawing show that Angle B and Angle D are congruent. Also that AB is parallel to CD. This means that Angle BAC and Angle DCA are congruent by ALTERNATE INTERIOR ANGLES. Also, AC is congruent to itself. That makes the two triangles congruent by ANGLE-SIDE-ANGLE.

Now, you need to know that "congruent" triangles (and shapes in general) are the same size and shape. "Similar" triangles (shapes) are the same shape but not necessarily the same size.

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Simplify the product using the distributive property<br> (7y + 5)(y-2)

neonofarm [45]

Answer:

12y-24

thats what the answer is to your problem

3 0

3 years ago

Find some means. Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random vari

mr_godi [17]

COMPLETE QUESTION:

Find some means. Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50 and standard deviation 8. Find the mean of the random variable Z for each of the following cases. Be sure to show your work.

a) Z = 35-10X

b) Z = 12X-5

c) Z = X+Y

d) Z = X-Y

e) Z = 2X+2Y

Answer:

a) -265

b) 355

c) 80

d) -20

e) 40

Step-by-step explanation:

The attachment below contains the whole calculations that provides for the answers above

6 0

3 years ago

a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th

tiny-mole [99]

Answer: The campers will be $40\ miles$ from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Choosing the points (0,4) and (2,10), we get:

$m=\frac{4-10}{0-2}=3$

We can susbstitute the point (0,4) and the slope into $y=mx+b$ and solve for "b":

$4=3(0)+b\\\\b=4$

Then, the equation of this line is:

$y=3x+4$

Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:

$d=3h+4$

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute $h=12$ into the equation and evaluate. Then we get:

$d=3(12)+4\\\\d=40$

4 0

3 years ago

The question is below pls help ASAP

nadya68 [22]

Answer:

SSS or SAS

Step-by-step explanation:

6 0

3 years ago

I NEED HELP ASAP!! Question is in the photo

IRISSAK [1]

Answers:

Angle X = 142 degrees
Angle Y = 142 degrees

Both angles are the same measure

===========================================================

Explanation:

We have a 5 sided polygon, so this is a pentagon.

For any pentagon, the five interior angles always add to 180(n-2) = 180(5-2) = 540 degrees. The formula 180(n-2) tells us the sum of the interior angles for any polygon with n sides.

The diagram shows the following angle values

V = 119
W = 47
X = m
Y = m
Z = 90 (due to the square angle marker)

Both angles X and Y are equal to the same unknown value m. They are both the same measure because they both have the same arc marking.

Adding up those five angles should get us 540 as mentioned earlier

V+W+X+Y+Z = 540

119+47+m+m+90 = 540

-------

Let's solve for m

119+47+m+m+90 = 540

2m+256 = 540

2m = 540-256

2m = 284

m = 284/2

m = 142

Angle X has the measure of 142 degrees, and so does angle Y.

7 0

3 years ago

Read 2 more answers