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3 years ago

If a ray divides an angle into two complementary angles, then the original angle measures °

Mathematics

2 answers:

-BARSIC- [3]3 years ago

8 0

The original angle is a supplementary angle or 180 degrees as complementary angles are 90 degrees

Arisa [49]3 years ago

6 0

Answer:

The original angle measures $90^{\circ}$ .

Step-by-step explanation:

We are asked to find the measure of original angle, when a ray divides an it into two complementary angles.

We know that two complementary angles add up-to 90 degree.

Therefore, the original angle is a right angle or the measure of original angle is $90^{\circ}$ .

You might be interested in

Use the given figure to find the length of FG

ra1l [238]

ANSWER

$|FG| = 19 \: units$

EXPLANATION

Since the altitude, |GJ| bisects the base of the triangle, it follows that, the triangle is an isosceles triangle.

This implies that,.

$|FG|=|GH|$

In terms of x, we have the equation.

$5x - 6 = 3x + 4$

We now group like terms to obtain,

$5x - 3x = 4 + 6$

This implies that,

$2x = 10$

Let us divide through by 2 to get,

$x = 5$

We can see from the diagram that,

$|FG|=5x-6$

We substitute x=5 to get,

$|FG|=5(5)-6$

This simplifies to,

$|FG|=25-6$

$|FG|=19 \: units$

3 0

3 years ago

Nine less than the product of five and a number

Mekhanik [1.2K]

If you want an expression it would be 9-5x

6 0

3 years ago

For p = $3000, r = 3.5%,and t = 5 years, Find the balance in an account When interest is compounded (a) quarterly, (b) monthly,a

MAVERICK [17]

Answer:

a) $3,571.02

b) $3,572.9

c) $3,573.74

Step-by-step explanation:

Data provided in the question:

p = $3000,

r = 3.5%,

t = 5 years

a) quarterly

number of periods in a year, n = 4

Interest rate per period = 3.5% ÷ 4 = 0.875%

Now,

$A = p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}$

A = total amount

n = number of times compounded per year

on substituting the respective values, we get

A = 3000 × $\left( 1 + \frac{ 0.035 }{ 4 } \right)^{\Large{ 4 \cdot 5 }}$

A = 3000 × [/tex]\cdot { 1.00875 } ^ { 20 }[/tex]

A = 3000 × 1.19034

A = $3,571.02

b) monthly

number of periods in a year, n = 12

Now,

A = $p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}$

on substituting the respective values, we get

A = 3000 × $\left( 1 + \frac{ 0.035 }{ 12 } \right)^{\Large{ 12 \cdot 5 }}$

A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]

A = 3000 × 1.190967

A = $3,572.9

c) continuously

A = $pe^{r\times t}$

on substituting the respective values, we get

A = 3,000 × $e^{0.035\times 5}$

A = 3,000 × $e^{0.175}$

A = 3,000 × 1.1912

A = $3,573.74

5 0

3 years ago

Read 2 more answers

Which expression is equivalent to [4^5/4 4^1/4 / 4^1/2]^1/2 Please quick helppp

Vedmedyk [2.9K]

[4^(5/4+1/4)]^1/2

= --------------------------

4^(1/2 * 1/2)

[4^(6/4)]^1/2

= ----------------------

4^(1/4)

4^(3/2 * 1/2)

= ----------------------

4^(1/4)

4^(3/4)

= ---------------

4^(1/4)

= 4^(3/4 - 1/4)

= 4^2/4

= 4^1/2

= √4

= 2

Answer is C. 2

4 0

3 years ago

Read 2 more answers

0.63 x 1.8 solve with the steps to get the answer

Xelga [282]

Answer:

key the numbers into your calculator and execute the multiplication function

Step-by-step explanation:

Details vary with calculator model. Read your manual.

_____

There are many ways to work a problem of this nature by hand or in your head. The second attachment shows a couple of them.

Long multiplication

Essentially, every digit in one number needs to be multiplied by every digit in the other number, and the results combined according to their place value. The diagram on the left is a method that has you put the product of the top digit and the right digit into the box with "tens" and "ones" separated by a diagonal line.

After you've filled in the products of all the digits, you add them along diagonal "columns", putting the sum at the bottom or to the left. Any "carry" from the sum will add to the next "column" to the left or above. For example, the product digit 3 is arrived at by adding the 8, 2, and 3 along the diagonal. That sum results in a "carry" of 1 that gets added to the 4, 6, and 0 in the diagonal "column" above it.

As with any multiplication of decimals, the number of decimal digits in the product is the same as the total of the numbers of decimal digits in the multiplicands. (2+1=3)

Mental math

Both these numbers are multiplies of 9, so the product can be found different ways using that fact. The number 1.8 is 2 - 0.2, so the product can be found as ...

0.63 × 1.8 = 0.63 × (2 -0.2) = (0.63×2) - (0.63×0.2)

= 1.26 -0.126 = 1.134

Multiplication by 2 is easily done in your head. The subtraction of one 3-digit number from another may be a little harder to do, but is probably less work than the long multiplicatin described above.

_____

Alternative mental math

The product of one number and the other, as described above, is the product of each digit in one number with each digit in the other number, paying attention to place value.

With decimal points removed, the numbers are 63 and 18, and their product is ...

6·1 × 100 + (6·8 +3·1) × 10 + 3·8

= 600 +510 +24

= 1110 +24

= 1134

The the desired product is this value with the decimal point put 3 places from the right: 1.134

3 0

3 years ago