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QveST [7]
2 years ago
5

The sides of a parallelogram are 24cm and 16cm. The distance between the 24cm sides is 8 cm. Find the distance between the 16cm

sides
Mathematics
1 answer:
Stolb23 [73]2 years ago
7 0

Answer:

12 cm.

Step-by-step explanation:

The distance between the opposite sides is a perpendicular line so we can form a right angled triangle by drawing a perpendicular line from one corner of the parallelogram  to the opposite 24 cm side.

So  one angle of the parallelogram will have a sine of 8/16 = 1/2 so this angle =  30 degrees.

In a similar way to the above we form a right angled triangle  from the same corner by drawing a perpendicular line to the opposite 16 cm side.

This has an angle of 30 degrees (  opposite angles in a parallelogram are congruent).

So sine 30 = x / 24

1/2 = x /24

x = 12 feet.

Another way to do this is by noting that the 2 triangles are similar (because  2 corresponding angles are equal).

So  8/ 16 = x/24

16x = 192

x = 12 feet.

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£99 is shared in the ratio 6 : 5<br><br> What is the larger share?
nordsb [41]

Answer:

54

Step-by-step explanation:

6x + 5x = 99

11x = 99

x=99/11

x=9

6x = 6x9 = 54

5x = 5x9 = 45

<em>ans: </em><u><em>54</em></u>

4 0
2 years ago
Please can u answer all the questions!!! Thank u soo much
DiKsa [7]

4.a) 2x=7*3

2x=21

x=21/2 OR

x=10.5

4.b)5x=25*6

5x=150

x=150/5

x=30

4.c)4x=5*14

4x=70

x= 70/4

x=17.5

4.d)4x=9*3

4x=27

X=27/4

X=6.75

4.e)x=0.05*3

X=0.15

4.f)x=0.25*7

X=1.75

4.g)x=0.4*1.5

X=0.6

4.h)x=0.7*2.2

X=1.54

5a)x/7=7-3

X/7=4

X=4*7

X=28

B)2x/5=3+8

2x/5=11

2x=11*5

2x=55

X=55/2

X=27.5

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2x/3=48

2x=48*3

2x=144

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(I can’t finish all but it is the same method )

5 0
3 years ago
Mila is going to invest in an account paying an interest rate of 2.5% compounded
Anarel [89]

Answer:

15400

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
For each pair of triangles,tell:(a) are they congruent(b)write the triangle congruency statement.(c) Give the postulate that mak
pychu [463]
All right...before we begin, let's lay some ground rules about the postulate your teacher asks for in every problem. <em>If you already know what they are, skip this paragraph...</em>

A postulate is a statement that claims how the triangles are congruent from looking at the paper. For example, on number 2 we have three sides of the triangle so we would use the postulate SSS (side, side, side). However, number one we would use SAS (side, angle, side) because we see the angle square showing it is a 90-degree angle.
Let's begin! (I haven't done triangles in a while so I apologize in advance if some of my answers might be incorrect on the congruent (yes or no) part of it.)

1.
A) From a visual perspective, we can see the triangles are congruent.
B) ABE = CDE because they are the corresponding points.
C) We can use SAS for the postulate.

2.
A) Yes, they are congruent.
B) OLE = OVE
C) We can use SSS for their postulate.

3.
A) Yes, they are congruent.
B) AWT = ERT
C) We can use SAS for the postulate.

4.
A) I believe the triangles are congruent. You might want to check me on that.
B) GFE = FGH
C) SSS

5.
A) They are congruent because if IH bisects it, it is directly in the middle. So, we know that WH = HS and IH = IH (duh.) and their angles match.
B) WHI = SHI
C) SAS

6.
A) This one is intriguing because it would state above the shape "LE bisects LGUE." I'm going to take that it isn't exactly in the middle, but I am still going to say it is congruent.
B) LGE = EUL
C) ASA

7.
A) Yes, they are definitely congruent.
B) RTU = TRS
C) SSS (We have nothing that indicates angles.)

8.
A) Yes, they are congruent.
B) YWV = VZY
C) We can use SAS. (Might want to check that one.)

9.
A) I would say this one is NOT congruent.
B) There are only two points. One way is HT = MA
C) They are not congruent, you can not use a postulate. However, if you teacher insists on putting one, I would use SAS.

Once again, I would be careful about my answers. I haven't worked with triangles in a few years. If my math is incorrect, or I didn't give the answer you were looking for, please let me know. However, if my math is on point, please consider marking as <em>Brainliest</em>.

Have a good one.
God Bless.
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B5%7D%7B8%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B4%7D%20" id="TexFormula1" title
bagirrra123 [75]

Answer:

\large\boxed{-\dfrac{5}{8}+\dfrac{1}{4}=-\dfrac{3}{8}}

Step-by-step explanation:

-\dfrac{5}{8}+\dfrac{1}{4}=\dfrac{1}{4}+\left(-\dfrac{5}{8}\right)=\dfrac{1}{4}-\dfrac{5}{8}\\\\\text{find LCD:}\\\\8=2\cdot4,\ \text{therefore. LCD(4, 8) = 8}\\\\\dfrac{1}{4}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{2}{8}\\\\\text{continuing}\\\\=\dfrac{2}{8}-\dfrac{5}{8}=\dfrac{2-5}{8}=-\dfrac{3}{8}

4 0
2 years ago
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