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3 years ago

Please help me ASAP! Will give Brainliest + lots of points!!

Mathematics

2 answers:

Keith_Richards [23]3 years ago

6 0

Answer:

D. m∠4 = 40°

Step-by-step explanation:

In the given kite the vertical diagonal is the angle bisector of both angles.

Angles 1 and 3 are complementary
Angles 2 and 4 are complementary

<u>Given</u>

m∠1 = 2m∠3 ⇒ 3m∠3 = 90° ⇒ m∠3 = 30°

and

m∠2 = m∠3 + 20° ⇒ m∠2 = 30° + 20° = 50°

then

m∠4 = 90° - m∠2 = 90° - 50° = 40°

Correct option is D

adoni [48]3 years ago

4 0

Answer:

The diagram is a khe.

The m/1 is twice m23.

The m/2 is 20 more than the m23.

Find m24.

The figure is not drawn to scale

m24 = 30

m24 = 60

m/4 = 50

m24 = 40

Step-by-step explanation: it would be m/4 =50

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The mass of a proton is about 1.7 \times 10^(-24). Write this number in standard notation.

OLga [1]

Now we have a negative exponent, which is the opposite of a positive exponent.

If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then

the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.

Examples:

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The trick is to recognize that

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${}\div 10$ and ${}\times 10^{-1}$ mean the same thing.

So, $930 {\bf {}\div 10 \div 10} = 930 {\bf {}\times 10^{-1} \times 10^{-1}} = 930 {\bf {}\times 10^{-2}} = 9.3$

For your exercise, ${}\times10^{-24}$ means you'll move the decimal point 24 places to the left, to make the number smaller.

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3 years ago

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Fittoniya [83]

Answer:

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

Step-by-step explanation:

The slope-intercept form of a function is given as:

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Here

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The rate of change is calculated as:

$m = \frac{difference\ in\ y}{difference\ in\ x}$

For this, any two pairs of input and output can be taken.

So using the pairs (1,-3) and (2,-1)

$m=\frac{2-1}{-1+3}\\=\frac{1}{2}$

Putting the value of slope in slope-intercept form

$y = \frac{1}{2}x+b$

Putting (1,-3) in the equation

$-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}$

Putting the value of b

$y = \frac{1}{2}x-\frac{7}{2}$

Hence,

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

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