All categories

3 years ago

Part A create an equation and solve for X:

Mathematics

2 answers:

olchik [2.2K]3 years ago

7 0

Answer:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Vilka [71]3 years ago

5 0

Answer:

x = 2 degree and unknown angle = 31 degree

Step-by-step explanation:

149 + 13x + 5 =180 degree (being linear pair)

154 + 13x = 180

13x = 180 - 154

x = 26/13

x = 2 degree

unknown angle = 13x + 5

=13*2 + 5

=26 + 5

=31 degree

You might be interested in

Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?

Alekssandra [29.7K]

hello,

the first term is 250 so this is the initial invested amount

$(1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}$

is to compute 8% annual interest compounded monthly (there are 12 months in a year)

and then multiply by 4 means that it is computed for 4 years so

finally the answer is

$250 is invested at 8% annual interest compounded monthly for 4 years

hope this helps

7 0

3 years ago

Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

2 years ago

9. Khalid drove 66 miles on 3 gallons of gasoline. Which is the number of miles he could drive on 12 gallons of gasoline?

IrinaK [193]

Answer:

264 miles

Step-by-step explanation:

Find the unit rate (mpg):

66 miles

----------------- = 22 mpg

3 gallons

On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles

8 0

3 years ago

Factorise fully 9x^2 - 16y^2

dsp73

Note: a² - b² = (a-b)(a+b)

9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)

4 0

3 years ago

The number of books donated to a library is increasing by 25% each month. Initially, there were 80 books donated to the library.

lions [1.4K]

Answer: There would be 745 books at the end of month 10.

Step-by-step explanation:

Since we have given that

Number of books initially = 80

Rate of growth = 25% = 0.25

t = 10 months

We need to find the number of books that are expected at the end of month 10.

As we know the formula for "Compound interest":

$A=P(1+\dfrac{r}{100})^t\\\\A=80(1+\dfrac{25}{100})^{10}\\\\A=80(1+0.25)^{10}\\\\A=80(1.25)^{10}\\\\A=745.05$

Hence, there would be 745 books at the end of month 10.

4 0

3 years ago