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Leto [7]
3 years ago
9

angle a and angle C are vertical angles if the measure of angle a equals 3x + 7° and measure of angle C equals x + 53° what is t

he value of x​
Mathematics
1 answer:
ddd [48]3 years ago
4 0

Answer:

x = 23

Step-by-step explanation:

3x + 7 = x + 53 because vertical angles are congruent. So just solve...

3x - x + 7 = x + 53 - x

2x + 7 = 53

2x + 7 - 7 = 53 - 7

2x = 46

x = 23

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Marina CMI [18]

Step-by-step explanation:

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3 0
3 years ago
When numbers are very small or very large, it is convenient to either express the value in scientific notation and/or by using a
finlep [7]

\boxed{ \ 5.0 \times 10^{-3} \ grams \rightarrow 5.0 \ milligrams \ }

<h3>Further explanation </h3>

Scientific notation represents the precise way scientists handle exceptionally abundant digits or extremely inadequate numbers in the product of a decimal form of number and powers of ten.  

Put differently, such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent or power. It is a system for expressing extremely broad or exceedingly narrow digits compactly.

Scientific notation should be in the form of  

\boxed{ \ a \times 10^n \ }

where  

\boxed{ \ 1 \leq a \ < 10 \ }

The number "a" is called "mantissa" and the exponent "n" the order of magnitude.

The exponent tells about the size of the number.

  • A positive exponent indicates a number greater than or equal to 1.
  • A negative exponent indicates a number between 0 and 1.

From the key questions asked, we face the standard form of 0.005 grams which will be converted into scientific notation.  

0.005 = \frac{5}{1,000}

  • The coefficient (or mantissa) is 5, which has fulfilled the interval 1 ≤ a < 10.  
  • The denominator consists precisely of three zero digits.

Hence, 0.005 grams is written in scientific notation as  \boxed{ \ 5.0 \times 10^{-3} \ grams \ }

Because 1 milligrams is equal to 10^{- 3} grams, then

5.0 \times 10^{-3} \ grams \times \frac{1 \ milligrams}{10^{-3} \ grams}

Hence, 0,005 grams is 5.0 milligrams.

In science, we frequently must deal with extremely small or incredibly large quantities. For a typical example, one of the recognized limitations of the microwave frequency is 300,000,000 Hz with a photon energy of 0.00000124 eV. They with many zeros can be impractical to work with, so scientists properly implement scientific notation.

The inverse of scientific notation is the standard form. To promptly change scientific notation into standard form, we reverse the process, move the decimal point to the right or left. This expanded form is called the standard form.

\boxed{ \ 3.0 \times 10^{8} \ Hz \ \rightarrow 300,000,000 \ Hz \ or \ 300 \ MHz \ }

\boxed{ \ 0.00000124 \ eV \ \rightarrow 1.24 \times 10^{-6} \ eV \ or \ 1.24 \ \mu eV \ }  

<h3>Learn more</h3>
  1. How is 0.00069 written in scientific notation? brainly.com/question/7263463
  2. How to explain 3,482,000,000 in scientific notation brainly.com/question/231855
  3. Convert the number expressed in standard form to scientific notation brainly.com/question/10436883

Keywords: a pain-relieving pill has a mass, 0.005 grams, express, written, in scientific notation, milligrams, expanded form, exponent, base, standard form, mantissa, the order of magnitude, power, decimal, very large, small, figures, abundant digits, inadequate

5 0
3 years ago
The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?
madam [21]

Answer: 24 cm

Step-by-step explanation:

The formula for calculate the area of a triangle is:

A=bh/2

Where b is the base and h is the height.

Then if the base of the triangle is 5 times the height:

b=5h

Substitute the above into the formula and solve for the height. Therefore, you obtain that the height is:

1,440=\frac{5h*h}{2}\\1,440=\frac{5h^{2}}{2}

1,440cm^{2}=5h^{2}/2\\h=\sqrt{\frac{2(1,440)}{5}}\\h=24cm

3 0
3 years ago
Read 2 more answers
Algebraic equations:<br> 8x+4/2
Vikentia [17]

Answer:

8x+2

Step-by-step explanation:

8x+4/2

= 8x+2

because 2 cancel out 4

and because they are not like terms

the answer will be 8x+2

4 0
3 years ago
Harry is a builder.
sergij07 [2.7K]

Answer:

£39.95

Step-by-step explanation:

multiply it by £7.99×5

5 0
3 years ago
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