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erica [24]
2 years ago
11

URGENT PLS HELP ILL GIVE BRAINLIES FIVE STARS AND FOLLOW

Mathematics
1 answer:
lord [1]2 years ago
4 0

Answer:

B

Step-by-step explanation:

∠ 2 and 37° are vertically opposite angles and are congruent, then

∠ 2 = 37°

∠ 1 and 37° are a linear pair and sum to 180° , that is

∠ 1 + 37° = 180° ( subtract 37° from both sides )

∠ 1 = 143°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 143°

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Perform each of the following computations using the measured quantities below.
mylen [45]
<h2>Question </h2>

Perform each of the following computations using the measured quantities below.

Write your final answer with the correct number of significant figures in proper scientific notation (one non-zero number to the left of the decimal point).

a. 917.2 + 45.63 = ___________

b. 3.423 x 10^-4 - 6.42 x 10^-3 =_________

<h2>Answer:</h2>

(a) 9.6 x 10²

(b) -6.1 x 10⁻³

<h2>Step-by-step explanation:</h2>

(a) 917.2 + 45.63

<em>First add the two numbers as follows (ensure that the decimal numbers are well aligned);</em>

   9  1   7 . 2

+   <u>   4  5 . 6  3</u>

   <u>9  6 2  . 8  3</u>

<u></u>

<em>To write the result in a proper scientific notation (one non-zero number to the left of the decimal point), </em>

i. Express the number is standard form

962.83 = 9.6283 x 10²

<em>Note that;</em>

From the result in (i)

9.6283 = mantissa

10 = base

² = power or exponent.

ii. Express the mantissa of the number in 1 decimal place.

9.6 x 10²

Therefore, the result in the proper scientific notation is <em>9.6 x 10²</em>.

(b)  3.423 x 10⁻⁴ - 6.42 x 10⁻³

Find the difference between the two numbers as follows;

i. Re-write the numbers so that they both have the same exponents:

0.3423 x 10⁻³ - 6.42 x 10⁻³

ii. Factor out 10⁻³

10⁻³(0.3423 - 6.42)

iii. Solve the bracket

10⁻³(-6.0777)

iv. Rewrite the result in (iii)

-6.0777 x 10⁻³

<em>To write the result in a proper scientific notation (one non-zero number to the left of the decimal point), </em>

i. Express the number is standard form

-6.0777 x 10⁻³       [already in standard form]

<em>Note that;</em>

From the result in (i)

-6.0777 = mantissa

10 = base

⁻³ = power or exponent.

ii. Express the mantissa of the number in 1 decimal place.

-6.1 x 10⁻³

Therefore, the result in the proper scientific notation is -6.1 x 10⁻³.

6 0
2 years ago
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha
Aleonysh [2.5K]

Answer:

y = - \frac{4}{5} x + \frac{2}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = \frac{5}{4} x + \frac{3}{4} ← in slope- intercept form

with slope m = \frac{5}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{5}{4} } = - \frac{4}{5} , thus

y = - \frac{4}{5} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \frac{12}{5} + c ⇒ c = - 2 + \frac{12}{5} = \frac{2}{5}

y = - \frac{4}{5} x + \frac{2}{5} ← equation of perpendicular line

4 0
2 years ago
Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
Advocard [28]

Answer:

no they are not

Step-by-step explanation:

priyas paint would be darker then mais paint because priya added an extra cup of red paint.

5 0
3 years ago
How to find the vertex: i keep getting (-1,3) what am i doing wrong <br><br> y=x^2+2x+6
larisa86 [58]
You have the -1 correct but when (or if) you put it in the calculator then you have to put it in parentheses and you should get 5 so it would be (-1,5)
3 0
3 years ago
Plz help 7th grade math
VLD [36.1K]

Answer:

The answer is -11

Step-by-step explanation:

3+(-14) is basically writing out 3-14 which is -11

8 0
3 years ago
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