All categories

2 years ago

HELP!! i will vote brainlest answer

Mathematics

1 answer:

Schach [20]2 years ago

8 0

Answer:

D. 18

Step-by-step explanation:

The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°

= (5 - 2) * 180 = 540°

Therefore:

95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°

Solve for x

95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540

Add like terms

198 + 19x = 540

19x = 540 - 198

19x = 342

x = 342/19

x = 18

You might be interested in

There are 448 reams of paper in thw supply room. Fourteen reams are used each day. At that rate, how many days will the supply o

Mnenie [13.5K]

X = number of days that have passed

448 = 14x

divide both sides by 14

32 = x

3 0

2 years ago

Read 2 more answers

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

Solve equation 3x+3y+6z-15w=9

Allushta [10]

Answer:

The equation is already solved.

8 0

2 years ago

Read 2 more answers

Round 128 to the nearest ten

SSSSS [86.1K]

130, is the answer.. so here's me having to come back and to explain,because this questions is SO hard.
They ask to round to the ten.
128
^This is ten, so we look to our right which is eight, is higher than 5. 5 is counted as higher. So 8 is over five and if we round 28, it's 30.
WOW, fascinating.
Thanks Brainly's "monitors" such help. -_-

5 0

2 years ago

Read 2 more answers

Tickets for seniors prom cost $25 for individual tickets and $40 for couples tickets. They collected a total of 2500 from ticket

quester [9]

Answer: 20

Step-by-step explanation:

Given

The cost of an individual ticket is $25

The cost of a couple's ticket is $40

The total sale is $2500

total ticket sold is 70