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3 years ago

PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

iogann1982 [59]3 years ago

7 0

Answer:

SAS Postulate

avanturin [10]3 years ago

5 0

With DC = AB, you have a pair of sides.
Then with the parallel lines, you get angles 2 and 3 are congruent because they are alternate interior angles.
Finally, side AC is congruent to side AC. That gives you another pair of congruent sides.
You can use SAS.

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8 – (x + 4) = 2<br> determine the value of x in the equation below

Bess [88]

Answer:

8 -1(x+4)=2

8-x-4=2

x= 2+4-8

x=-2

4 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through (2,−5) and is parallel to the line 2y=3x+10

LenaWriter [7]

Step-by-step explanation:

Divide two on both sides to get rid of it and the make the equation in the form y = mx + c

$\frac{2}{2} y = \frac{3}{2} x + \frac{10}{2}$

y = 3/2x + 5

since both lines are parallel they must have the same gradient which is 3/2

y = 3/2x + c

All you have to do now is to replace x and y with (2, -5) to find c

x = 2

y = -5

-5 = 3/2 × 2 + c

-5 = 3 + c

c = -5-3

c = -8

$y = \frac{3}{2} x - 8$

8 0

2 years ago

A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck

anzhelika [568]

Alright, lets get started.

Suppose the original deck size: width = x feet

the width is one-fourth the length given in question means length = 4 x feet

Means the originally area = $x * 4 x = 4 x^{2}$

Now the dimensions are changed.

New dimensions, width = (x + 6)

new length = (4x+10)

So, new area will be = $(x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60$

the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

$4x^{2} + 128= 4x^{2} + 34 x + 60$

Subtracting $4x^{2}$ from both sides

$128 = 34 x + 60$

Subtracting 60 from both sides

$128 - 60 = 34 x + 60 - 60$

$68 = 34 x$

Dividing 34 in both sides

$\frac{68}{34} = \frac{34 x }{34}$

$x = 2$

Means width = 2 feet

Length would be = 4 time width = 4 * 2 = 8 feet

Means dimension of original deck would be = 2 feet and 8 feet :Answer

Hope it will help :)

8 0

3 years ago

Determine the measure of angle A

igor_vitrenko [27]

Answer:

63*

Step-by-step explanation:

The first thing you need to do is find the value of x. What I did for this was trial and error. I tried a number, and if it was too big, I tried a smaller one. If you add up all of the angles, it should equal up to 180*, so I kept on doing this until I added up to 180.

The answer I got was x=8, so I plugged this into the equation for A and solved. 9x8 is 72, and 72-9 is 63.

Therefore, 63 is the correct answer.

6 0

2 years ago

How long will it take for an investment to triple, if interest is compounded continuously at 4%?

Margaret [11]

3p=pe^tr,,3=e^0.04t ,,then use log to find t

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2 years ago