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zhuklara [117]
3 years ago
5

For which acute angles is the following statement true? The complement of the angle is smaller in measure than either of the two

angles into which the bisector divides the acute angle
Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

Let the acute angle be 2x.

Its complement is 90 - 2x.

It is given that this complementary angle is less than each of the bisected angle.

Therefore, 90 - 2x < x

90 < 3x

or, x > 30.

2x > 60

Therefore, the statement is true for all angles that are greater than 60 degrees.

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The volume of an oblique pyramid with a square base is V units3 and the height is h units.Which expression represents the area o
melamori03 [73]

Answer: a) \dfrac{3V}{h}\ units^2

Step-by-step explanation:

We know that the volume of an oblique pyramid is given by :-

\text{Volume}=\dfrac{1}{3}\text{(Base Area x height) }

If the volume of an oblique pyramid with a square base is V units³ and the height is h units.

Then, we have

V=\dfrac{1}{3}\text{(Base Area x h) }

Multiply 3 on both sides , we get

3V=\text{(Base Area x h) }

Divide both sides by h , we get

\dfrac{3V}{h}=\text{Base Area }

i.e. \text{Base Area }=\dfrac{3V}{h}\ units^2

Hence, the expression represents the area of the base of the pyramid = \dfrac{3V}{h}\ units^2

Hence, the correct answer is a) 3 v/h units^2

7 0
2 years ago
Read 2 more answers
Find the area of the circle 11 yd
lubasha [3.4K]
11yd is the diameter and circumference is 2πr = 2π(d/2) = πd = 11π yd
4 0
3 years ago
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Solve for z<br><br>-p(d+z)=-2z+59
suter [353]
Distribute
-pd-pz=-2z+59
add 2z both sides
-pd-pz+2z=59
add pd to both sides
-pz+2z=59+pd
2z-pz=59+pd
undistribute z
z(2-p)=59-pd
divide bot sides by 2-p
z=\frac{59-pd}{2-p}
z=\frac{pd-59}{p-2}
7 0
3 years ago
Lizette is training for a marathon. At 7:00 she left her house and ran until 8:30, then she walked until 11:30. She covered a to
Leokris [45]
<h3>Answer:</h3>
  • running speed: 8 mph
  • walking speed: 2 mph
<h3>Step-by-step explanation:</h3>

Let w represent Lizette's walking speed. Then her running speed is w+6. The relationship between speed, time, and distance is ...

  distance = speed × time

Lizette ran for 1.5 hours, then walked for 3 hours. Her total distance is ...

  (w+6)·1.5 + w·3 = 18

  4.5w + 9 = 18 . . . . . simplify

  4.5w = 9 . . . . . . . . . subtract 9

  w = 2 . . . . . . . . . . . .divide by 4.5

Lizette's walking speed is 2 mph; her running speed is 8 mph.

6 0
3 years ago
Read 2 more answers
Given and which statement is correct? AB = FD AB &lt; FD AB &gt; FD AB ≤ FD
mojhsa [17]

Side AB is longer than side FD. Option (b) is correct.

Further explanation:

Given:

The options area as follows,

(a). \overline {{\text{AB}}} and \overline {{\text{FD}}} are the same length.

(b). \overline {{\text{AB}}} is longer than \overline {{\text{FD}}}.

(c). \overline {{\text{AB}}} is shorter than \overline {{\text{FD}}}.

(d). {\text{AB}} \leqslant {\text{FD}}

Explanation:

The sides opposite to equal angles are equal.

The side opposite to greater angle is greater than the other one.

The measure of \angle {\text{DEC}} is {65^ \circ }.

The measure of \angle {\text{BCA}} is {72^ \circ }.

\angle {\text{BCA}} is greater than \angle {\text{DEC}}. Therefore, the side opposite to greater angle is greater.

Side AB is longer than side FD. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter:Triangles

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

3 0
3 years ago
Read 2 more answers
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