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3 years ago

9

How do I identify the congruent triangles in each figure

1 answer:

Virty [35]3 years ago

5 0

Congruent triangles have the exact same three sides and the exact same angles. They are identical. So if you look at your triangles carefully, they are congruent. :)

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In this exercise, T: R2 → R2 is a function. For each of the following parts, state why T is not linear. (a) T(a1, a2)= (1, a2) (

DENIUS [597]

Answer:

a) T is not homogeneous
b) T is not additive
c) T is not homogeneous
d) T is not additive
e) T is not additive

Step-by-step explanation:

In each case there is an example where one property of linear functions fails.

a) $T(2(1,0))=T((2,0))=(1,0); 2T((1,0))=2(1,0)=(2,0)$ . These vectors are not equal, then T doesn't satisfy the condition of scalar multiplication (homogeneity).

b) $T((1,2)+(2,3))=T(3,5)=(3,9); T((1,2))+T((2,3))=(1,1)+(2,4)=(3,5)$ . Because these vectors are not equal, T doesn't satisfy the property of vector addition (additivity).

c) $T(\frac{1}{2}(\pi,0))=T((\frac{\pi}{2},0))=(\sin(\frac{\pi}{2}),0)=(1,0); \frac{1}{2}T((\pi,0))=\frac{1}{2}(0,0)=(0,0)$ so T is not homogeneous.

d) $T((-1,0)+(1,0))=T(0,0)=(0,0); T((-1,0))+T((1,0))=(1,0)+(1,0)=(2,0)$ then T is not additive.

e) $T((0,0)+(1,0))=T(1,0)=(2,0); T((0,0))+T((1,0))=(1,0)+(2,0)=(3,0)$ then T is not additive.

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3 years ago

An owner of a small store knows that in the last week 54 customers paid with cash 63 customers paid with a debit card, and 153 p

777dan777 [17]

Answer:

20% probability that the next customer will pay with cash

Step-by-step explanation:

A probability, as a decimal, is the number of desired outcomes divided by the number of total outcomes.

To find as percent, we multiply by 100.

In this question:

Total of 54+63+153 = 270 customers.

Of those, 54 paid with cash.

Based on the number of customers from last week, what is the probability as a percent that the next customer will pay with cash?

54/270 = 0.2

0.2*100 = 20%

20% probability that the next customer will pay with cash

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3 years ago

4/5 of Sarah's pens are equal to 1/5 of matts pens

azamat

Ok so whats the question

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3 years ago

Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

klemol [59]

$y=2x+3$

$y=-2x+3$

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3 years ago

Critical observations thinking is the best deomstrated by which of the following action

docker41 [41]

Answer: spotting trends in data

Step-by-step explanation:

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3 years ago