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2 years ago

Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated, and why?

Mathematics

2 answers:

jekas [21]2 years ago

7 0

Check the picture below.

the "red" pair of sides are congruent, notice, both are 3 and 5 units in length respectively.

Aneli [31]2 years ago

6 0

Answer:

-4, 1)(-4, 6)(-1, 6); because corresponding pairs of sides and corresponding pairs of angles are congruent.

Step-by-step explanation:

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Which one represents a line which is parallel to the line y=-7x-4

Mekhanik [1.2K]

Answer:

Any linear equation of the slope-intercept form y =7x/4+ b will be parallel to y=7x/4, since the slope of 7/4 will be the same for all such lines

Step-by-step explanation:

3 0

3 years ago

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

3 years ago

What is the solution to the following inequality?

tamaranim1 [39]

$\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Inequalities.

so we get as,

(w+6)/2 < 5

so we get as,

w+6 < 10

=> w < 10-6

=> w < 4

so the answer is,

w < 4

4 0

2 years ago

The lines shown below are perpendicular. If the green line has a slope of

klasskru [66]

Answer: 4

Step-by-step explanation:

Perpendicular lines have reciprocal slopes

8 0

2 years ago

The ratio of 1.4/7 in the simplest form

sweet [91]

If you want to convert 1.4 into a fraction, you can do it like this:

1 equals to 1/1 and 0.4 equals to 4/10 which simplifies to 2/5.
The result is 1 2/5.

If you want to write the ratio of 1.4/7 in the simplest form, you can do this using the following steps:

1.4/7 = 1 2/5 / 7 = 7/5 / 7 = 7/5 * 1/7 = 1/5 = 0.2

The correct result would be 1/5.

3 0

3 years ago