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2 years ago

Copy the problem, mark the givens in the diagram and write a statement/reason proof

Mathematics

1 answer:

m_a_m_a [10]2 years ago

6 0

Answer:

Step-by-step explanation:

<E = <T Given

M is the midpoint of TE Given

TM = ME Definition of a midpoint

<TMI = <RME Property of Vertically Opposite Angles

ΔTMI = ΔRME ASA = ASA

MI = ME Corresponding parts of Congruent triangles are Congruent

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If m 1=(7x-19), and m 2=(x+5), find m 2

shutvik [7]

The value of m2 is 1/7(m1 + 54)

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4 years ago

Picture with question. Math

shtirl [24]

Answer:

The first four terms in the sequence 57, 50, 43, and 36

Step-by-step explanation:

Put the numbers in place of x (or n in this case).

You subtract that number you put in place of n by 1.

You then distribute the difference of n and 1.

You then subtract the distributed number by 57

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3 years ago

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3 years ago

Find the area of a triangle bounded by the y-axis, the line f(x)=9−2/3x, and the line perpendicular to f(x) that passes through

MaRussiya [10]

Answer:

The area of the triangle is 18.70 sq.units.

Step-by-step explanation:

It is provided that a triangle is bounded by the y-axis, the line $f(x)=y=9-\frac{2}{3}x$ .

The slope of the line is: $m_{1}=-\frac{2}{3}$

A perpendicular line passes through the origin to the line f (x).

The slope of this perpendicular line is: $m_{2}=-\frac{1}{m_{1}}=\frac{3}{2}$

The equation of perpendicular line passing through origin is:

$y=\frac{3}{2}x$

Compute the intersecting point between the lines as follows:

$y=9-\frac{2}{3}x\\\\\frac{3}{2}x=9-\frac{2}{3}x\\\\\frac{3}{2}x+\frac{2}{3}x=9\\\\\frac{13}{6}x=9\\\\x=\frac{54}{13}$

The value of y is:

$y=\frac{3}{2}x=\frac{3}{2}\times\frac{54}{13}=\frac{81}{13}$

The intersecting point is $(\frac{54}{13},\ \frac{81}{13})$ .

The y-intercept of the line f (x) is, 9, i.e. the point is (0, 9).

So, the triangle is bounded by the points:

(0, 0), (0, 9) and $(\frac{54}{13},\ \frac{81}{13})$

Consider the diagram attached.

Compute the area of the triangle as follows:

$\text{Area}=\frac{1}{2}\times 9\times \frac{54}{13}=18.69231\approx 18.70$

Thus, the area of the triangle is 18.70 sq.units.

7 0

4 years ago

What is the slope of the line that passes through the points (2,8) and (1, 13)?

r-ruslan [8.4K]

Answer:

The slope is -5

Step-by-step explanation:

8 0

3 years ago