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3 years ago

How do I solve this proportional & non proportional functions?

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Boy im a about to roast you

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Please solve these questions for me. i am having a difficult time understanding.

s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

$\angle AED = \angel BEC$ ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

Refer the attached figure

$\angle ABC = 90^{\circ}$

In ΔDBC

BC=DC (Given)

So, $\angle CDB=\angle DBC$ (Opposite angles of equal sides are equal)

So, $\angle CDB=\angle DBC=x$

So, $\angle CDB+\angle DBC+\angle BCD = 180^{\circ}$ (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So, $\angle CDB=\angle DBC=x = 65^{\circ}$

Now,

$\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90$

So, $\angle ABD=90-x=90-65=25^{\circ}$

In ΔABD

AB = BD (Given)

So, $\angle BAD=\angle BDA$ (Opposite angles of equal sides are equal)

So, $\angle BAD=\angle BDA=y$

So, $\angle BAD+\angle BDA+\angle ABD = 180^{\circ}$ (Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0

3 years ago

I need the answers for 12, 13,14,15 ,16,17! Number them thanks!

tangare [24]

12. >13. =14. <15. <16. >17. >

7 0

3 years ago

1 2 3 4 5 6 7 8 9 10 Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best mode

Troyanec [42]

Answer:

$Area = 60x - x^2$

Step-by-step explanation:

Given

$Perimeter = 120$

$Side\ 1 = x$

Required

The area of the garden

First, we calculate the length of the other side using:

$Perimeter = 2 *(Side\ 1 + Side\ 2)$

This gives:

$120 = 2 *(x + Side\ 2)$

Divide both sides by 2

$60 = x + Side\ 2$

Make Side 2 the subject

$Side\ 2 = 60 - x$

So, the area of the garden is:

$Area = Side\ 1 * Side\ 2$

$Area = x * (60 - x)$

Expand

$Area = 60x - x^2$

7 0

2 years ago

HELP ASAPP PLS?! PLSSSSSSSS

Allushta [10]

Answer:

Step-by-step explanation:

The Slope of 1 is 1.5

The Slope of 2 is 1

The y-intercept of 1 is 3.5

the y-intercept of 2 is 3.5

5 0

3 years ago

Need help ASAP!!!!!!!

ELEN [110]

Answer:

4) 90-37 = 53°

5) Supplementary

6) 90-62 = 28°

7 0

2 years ago

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