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Hitman42 [59]
3 years ago
14

Please help, it'll be appreciated and if possible, I'll give brainliest

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

Step-by-step explanation:

See the attached image.  I numbered angles differently so as not to make an <u>assumption</u> that angles numbered the same are congruent.

\overline{AB} \parallel \overline{CD}\\\angle1 \cong \angle3 (alternate interior angles are congruent)

\overline{AD} \parallel \overline{BC}\\\angle 2 \cong \angle 4 (alternate interior angles are congruent)

\overline{AB} \cong \overline{CD}  (opposite sides of a parallelogram are congruent)

\triangle{ABO \cong \triangle{CDO}  (ASA - side/angle/side)

\overline{AO} \cong \overline{CO}\\\overline{BO} \cong \overline{DO}  (corresponding parts of congruent triangles are congruent)

The diagonals bisect each other!

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Without calculating, how do you know that the equation | 4x-7 | = -1 has no solution ?
Hatshy [7]
Hello

By just looking at the question, you should know that if there an absolute value symbol (which are those two straight lines surrounding that equation), the answer will always be positive.
4 0
3 years ago
Is "how much money have people spent on toilet paper?" a statistical question?
Olenka [21]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
For each 11 mm of coloured fabric Nick uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white
defon

Answer:

The amount of white fabric to coloured fabric as a ratio is 20:11

Step-by-step explanation:

We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.

Length of colored fabric = 11 mm

Length of White fabric = 2 cm

1 cm = 10 mm

2 cm = 20 mm

So, length of white fabric = 20 mm

So, Ratio of the amount of white fabric to coloured fabric = \frac{20}{11}

Hence the amount of white fabric to coloured fabric as a ratio is 20:11

3 0
3 years ago
A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
earnstyle [38]

Answer:

$5768.1

Step-by-step explanation:

Given data

Cost price= $13,000

Depreciation= 15%

Time= 5 years

The expression for the depreciation is given below

A= P(1-r)^t

Substitute

A=13000(1-0.15)^5

A=13000(0.85)^5

A=13000*0.4437

A=$5768.1

Hence after 5 years, the car will be $5768.1

7 0
3 years ago
Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative
Phoenix [80]

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

4 0
3 years ago
Read 2 more answers
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