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2 years ago

TrianglesABC and DEF are Similar Not similar

Mathematics

1 answer:

puteri [66]2 years ago

4 0

Answer:

Similar

Step-by-step explanation:

We can say that the triangles are similar by looking at the angle measurements

Angle B = 35

Angle F = 55

Both angles A and D = 90 because these are right triangles

We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180

Same rule applies to angle C

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10. 25 xº 40 Solve for x. Round to the nearest tenth

xxTIMURxx [149]

Answer:

51.32

Step-by-step explanation:

∠B = arcsin(b·sin(A)a)

= 0.67513 rad = 38.682° = 38°40'56"

∠C = 180° - A - B = 0.89566 rad = 51.318° = 51°19'4"

c = a·sin(C)sin(A) = 31.22499

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3 years ago

Solve c= 5/9(F-32) for F

guajiro [1.7K]

Answer:

F=9/5c+32

Step-by-step explanation:

c=5/9f-160/9

9c=5f-160

-5f=-160-9c

f=32+9/5c

f=9/5c+32

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2 years ago

Is one side of a rectangular fish tank best represented by a point, line, plane, or ray?

Inessa05 [86]

One side of a rectangular fish tank can be best represented by a plane because it is two dimensional.Whereas,point,line or a ray are all one dimensional and hence they cannot represent a rectangle as it has two dimensions.

6 0

3 years ago

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Guys I need help will mark brainliest

omeli [17]

Answer:

mean= sum of the terms/ (over) number of terms

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3 years ago

The given line segment has a midpoint at (3, 1).

Katena32 [7]

Answer:

$y=\frac{1}{3}x$

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ .

Therefore the line passing through (2, 4) and (4, -2) has an equation:

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10$

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

$m_1m_2=-1$ .

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

$m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}$

Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

$\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x$

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is $y=\frac{1}{3}x$

7 0

3 years ago

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