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3 years ago

Triangle DEF is a right triangle. Angle F is a right angle and m∠E=29°. What is m∠D?

Mathematics

2 answers:

Vikentia [17]3 years ago

8 0

Answer:

The Answer To Your Question Is 61

Step-by-step explanation:

Step One. 29 + 90 = 119

We Got 90 Because If Angle DEF Is A Right Triangle That Means That A Right Triangle Is 90 Degrees.

Step Two 180 - 119 = 61

We Got 180 Because No Matter The Triangle Every Triangle Is 180 Degrees.

Your Answer To This Question Is 61 Degrees.

Hope I Helped You With This Question And Have A Nice Day (:

Aleksandr-060686 [28]3 years ago

5 0

All triangles have 180o in them when the 3 angles making them up are added together.

Givens

F = 90

E = 29

D = ???

Equation

<D + <E + <F = 180

Substitute and solve

<D + 90 + 29 = 180

<D + 119 = 180

<D = 180 - 119

<D = 61

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SOMEONE ANSWER PLEASE The trapezoid below is made up of a square and a triangle The total area of the trapezoid

vladimir2022 [97]

Solution:

Note that:

Area of trapezoid = Area of triangle + Area of square = 575 m²
Area of triangle = 32.5 m²
Area of square = s²

Finding the area of the square:

32.5 + Area of square = 575 m²
=> Area of square = 575 - 32.5
=> Area of square = 542.5
=> s² = 542.5
=> s = √542.5 ≈ 23.29

The length of the square is 23.29 meters.

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2 years ago

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The sum of three consecutive integers is 267. What is the largest integer?

Kay [80]

90 is the largest integer

7 0

3 years ago

a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0

3 years ago

Match each statement in the proof with the correct reason.

Svetach [21]

Answer:

area is equal to base times height

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3 years ago

Expand each expression. Then simplify the expression. 7(5 + 4w) + 6(8w - 3)

Ilia_Sergeevich [38]

Answer:

76w + 17

Step-by-step explanation:

7 ( 5 + 4w ) + 6 ( 8w - 3 )

= 7 ( 5 ) + 7 ( 4w ) + 6 ( 8w ) - 6 ( 3 )

= 35 + 28w + 48w - 18

= 28w + 48w + 35 - 18

= 76w + 17

3 0

2 years ago