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1 year ago

In the diagram below, AD || EH, m/ABF

Mathematics

1 answer:

Oksanka [162]1 year ago

4 0

Answer:

Step-by-step explanation:for the triangle GIF, angle g = 80

angle f = 42 since angle FBA = 138

so angle i = 180 - 42 - 80

= 58

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find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

7 0

3 years ago

Someone please help!

NikAS [45]

Im pretty sure its D

3 0

3 years ago

Which of the following is the quotient of the rational expression 4x/2x-1 divided by 3x+2/x+5

expeople1 [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

The new cylinder can has radius of 5cm and a height of 9cm how many square centimeters of aluminum will it take to make this new

m_a_m_a [10]

Answer: $282.85\ cm^2$

Step-by-step explanation:

Given

Radius of cylinder $r=5\ cm$

The height of the cylinder is $h=9\ cm$

The surface area of a cylinder is $2\pi rh$

If only the outer is considered then, the area required is

$\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2$

7 0

3 years ago

Would appreciate the help

raketka [301]

Answer:

x° = 37°

Step-by-step explanation:

* Lets revise some facts of a circle

- The secant is a line intersect the circle in two points

- If two secants intersect each other in a point outside the circle,

then the measure of the angle between them is half the difference

of the measures of their intercepted arcs

* Now lets solve the problem

- There is a circle

- Two secants of this circle intersect each other in a point outside

the circle

∴ The measure of the angle between them = 1/2 the difference of the

measures of their intercepted arcs

∵ The measure of the angle between them is x°

∵ The measures of their intercepted arcs are 26° and 100°

- Use the rule above to find x

∴ x° = 1/2 [ measure of the large arc - measure of small arc]

∵ The measure of the large arc is 100°

∵ The measure of the small arc is 26°

∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°

∴ x° = 37°

4 0

3 years ago