In a rhombus, an altitude from a vertex of an obtuse angle bisects to opposite side. Find het measures of the angles of the rhombus.

Answers

Answer 1

Answer:

The angles are : 30° , 90° , 60° and 120°

Step-by-step explanation:

In a rhombus the obtuse angles measure up to 120° while the acute angles measure up to 60°

In other to find the net measure of the angles

we will draw  altitude from the vertex to form a right angled triangle and it will as well bisect the opposite side.

let the base of the right angled triangle ( opposite the obtuse angle ) = 1/2 x

side( hypothenuse ) of rhombus = x

sine = opposite / hypothenuse

hence sine x =  1/2 x / x

∴ sin x = 1/2

therefore to determine the value of x

sin^-1 ( x ) = sin^-1 ( 1/2 )

hence ; x = 30

given that the sum of the angles in a triangle = 180 . hence the third angle ( the acute angle ) = 180 - 90 - 30 = 60°

Given that the acute angle and the obtuse angle of a rhombus is  supplementary

hence the value of the obtuse angle = 180° - 60° =  120°


Related Questions

What is the area? Please help

Answers

Answer:

75

Step-by-step explanation:

A=1/2h(a+b) =10÷2=5(10+5)

=5×15

=75
The answer is =.5*(10+5)*10
=75mm

Please help!!! I’ll mark you as brainliest!!!

Answers

Ok I’ll break this down so it’s easier to understand:

So you start of with $80

The first step is to find 20% off

An easy way to find 20% is to divide it by 5.

80/5= 16

And since it’s 20% OFF we subtract 16 from 80

80-16= 64

Next we need to do the coupon

It is $5 off so

64-5= 59

And finally the rebate which is $2

59-2= 57

Answer:
57

Answer:

$57

Step-by-step explanation:

→ Do 20% of $80

( 20 × 80 ) ÷ 100 = 16

→ Add 5 to the previous answer

5 + 16 = 21

→ Add 2 to 21

2 + 21 = 23

→ Minus 23 from the total price

80 - 23 = $57

Please help!!! : )))
Sorry it's flipped lol

Answers

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)

Heather drew a scale drawing of a shopping center. The parking lot, which is 60 meters long in real life, is 12 centimeters long in the drawing. What is the scale of the drawing?

Answers

Answer:

1 cm = 5 meters

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

60 meters / 12 centimetres

5 meters / 1 centimetres

TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and volume is 757.36cm.

Answers

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

Gayle graphs the parabola (y + 1)2 = 12 (x – 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is The parabola opens and the focus is units away from the vertex. 1 The directrix is units from the focus. The focus is the point The directrix of the equation is TE <​

Answers

Answer:

1. (3,-1)

2. Right

3. 3

4. 6

5. (6,-1)

6. x=0

Explanation: Took the test

Answer:

Step-by-step explanation:

What is 4 and 3/4 - 1 and 1/3? The answer is one of these: 2 and 2/7, 2 and 2/12, 3 and 5/12, or 3 and 5/7

Answers

Answer:

3 and 5/12

Step-by-step explanation:

[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]

[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]

This fraction is equivalent to,

[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]

Multiply (a-b) by (2b-a).

Answers

Answer:

-2b(a) - a^2 -2b^2

Step-by-step explanation:

Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)

Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)

You would get: -2b(a) - a^2 -2b^2

Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,

(a-b) × (2b-a)

= a(2b-a) -b(2b-a)

= (a × 2b) - (a × a) - (b × 2b) + (b × a)

= 2ab - a² - 2b² + ab

=  -a² -2b² + 3ab

= 3ab -a² -2b²

Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

-5x + 4y = 7
-5x - 3y = -14

Answers

Answer:

1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]

2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]

Step-by-step explanation:

plss help i’ll give brainliest thank you!

Answers

Answer:

its 36 can you give me brainlyyy pleaasee

Answer:

36

Step-by-step explanation:

18 goes into 9 but not 12.

24 goes into 12 but not 9.

36 goes into 9 also into 12.

48 goes into 12 but not 9.

Hope this helps!

GIVING 30 POINTS PLZ ANSWER

the number a is smaller than the number b by 1/5 of b. by what part of a is b bigger than a?

Answers

A is smaller by 1/5 of b

So if you add a and 1/5 of b you would have b:

a + 1/5b = b

Solving for a you have:

A = b - 1/5b = 4/5b

A = 4/5b

Solving for b divide both sides by 4/5:

B = 5/4a

Since 4/4 = 1, this means b I’d bigger than a by 1/4

The answer = 1/4

Please help me out, right answers are favored ​

Answers

Answer:

y<_19x-11

Step-by-step explanation:

<_ it means less than and equal too hope it helps

You start at (9, 3). You move down 3 units. Where do you end?

Answers

Answer:

9,6 good luck with the answer

answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)

is anybody can help me with this one?
[tex]5(1 + n) = 2n ^{2} - 2[/tex]

Answers

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

What is the volume of the prism below?

Answers

Answer:

432 in.^3 or D.

Step-by-step explanation:

Answer:

D) 432 in³

Step-by-step explanation:

4 x 6 = 24

5 x 6 = 30

30 + 24 = 54

54 x 8 = 432

Please help, thankss

Answers

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

B. the second choice

7 + 34.5x = 8 1/4
solve for x

Answers

Answer:

x=0.03623188

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

(sorry if wrong please dont report)

Don’t answer if you don’t know, it’s rude

Word search

Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1

Answers

Answer:

down here :)

Step-by-step explanation:

Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.

Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.

2^(4- )8+16 *2
simplify

Answers

Answer:

-32

Step-by-step explanation:

Find the surface area of a square pyramid with side length 6 cm and slant height 6 cm.

Answers

Answer: 108 cm

Step-by-step explanation: Formula for square triangle is

SA=

D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?​

Answers

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Please help and show workings!

Answers

Answer:

[tex]162\sqrt{3}[/tex]

Step-by-step explanation:

The equation for finding the area of a hexagon with a side length is

[tex](s^23\sqrt{3} )/2[/tex]

insert [tex]6\sqrt{3}[/tex]

and you are left with 162\sqrt{3}

Hope that helps :)

Answer:

[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]

Step-by-step explanation:

we are given a side a polygon

and said to figure out the area

recall the formula of regular polygon

[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]

where a represents the length of a side

and n represents the number of sides

the given shape has 6 sides

and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]

so our n is 6 and a is 6√3

substitute the value of n and a:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]

[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]

simplify square:

[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]

[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]

simplify multiplication:

[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]

recall unit circle:

[tex] \displaystyle \: 162 \sqrt{3} [/tex]

hence, our answer is E

[tex]3\sqrt{x} -1\leq 12[/tex]

Answers

Answer:

0≤x≤169/9

Step-by-step explanation:

The NYC subway system has a total of 850 miles of train tracks, and a NYC subway train has an average speed of 17.4 mph. If you laid all 850 miles of track end-to-end in one big circle, how much time would it take to ride a NYC subway train around the entire circumference of that circle?

Answers

Answer:48.85 hr

Step-by-step explanation:

Given

The length of the train track is [tex]L=850\ miles[/tex]

the average speed of the train is [tex]v_{avg}=850\ mph[/tex]

If this track is laid on to a big circle, then the length is equivalent to the circumference

time is taken to cover the circumference is given by

[tex]\Rightarrow t=\dfrac{L}{v}\\\\\Rightarrow t=\dfrac{850}{17.4}=48.85\ hr[/tex]

A car accelerates from rest to 25 miles per hour in 3.0 seconds. What was the car's
acceleration?

Answers

Answer:

The car's acceleration was 3.73 metre per second square = 3.73m/s²

Step-by-step explanation:

The car accelerated from rest.

initial velocity (u) = 0m/s

final velocity (v) = 25miles/hr = 11.2m/s

time (t) = 3s

a = ?

v = u+at

a = (v-u)/t

a = (11.2 - 0) / 3

a = 11.2/3

a = 3.73

a = 3.73m/s²

a

9. Is the rate below a unit rate? Explain.
60 miles
3 gallons
Answer quick plzzz

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate

Explanation:

60 / 3 = 20

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

60/3=20

Step-by-step explanation:

hope this helps!

have a good day :)

In the following arithmetic sequence, which number is

missing from the series?

(2, 104, 206, 308, _____, 512, 614)​

Answers

Answer:

410

Step-by-step explanation:

Every sequence 102 gets added

'

The answer is 410 because the number is rising at a constant of 102 per a new arithmetic

A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62

Answers

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax


Pleaseee help with math 6th

Answers

shouldn’t it be a hexagon
four bases plus two bases is 6 bases
and a hexagon has six sides

Identify the zeros/roots: and
Does it have a minimum or maximum?
Axis of symmetry:
Vertex:
y-intercept:

Answers

The zeros are -1 and 3. Minimum. Axis of symmetry is 1. Vertex is 1,-4. Y-intercept is -3.
Hope this helped
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