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o-na [289]
3 years ago
6

Find the measure of each unknown angle.

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

2x

= 2(17)

= 34°

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End behavior is the direction the line points at both end of the graph, the end behavior for your question is : same end behavior because the leading term has the power of 6..... the line both point downwards because the leading term(-4) is negative, if the leading term is positive then the lines would point upward....if the leading term has an odd power like 3 or 5 it would be opposite end behavior

4 0
3 years ago
The expression 11x2 - 12x - 10 has ___ terms and a constant of ___.
valina [46]
3 terms, a constant of 10
6 0
3 years ago
from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second
anygoal [31]

Answer:

9 seconds

Step-by-step explanation:

The complete question is

The altitude of an object, d, can be modeled using the equation below:

d=-16t^2 +vt+h

from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?

Let

d ----> the altitude of an object in feet

t ---> the time in seconds

v ---> initial velocity in ft per second

h ---> initial height of an object in feet

we have

d=-16t^2 +vt+h

we  know that

When the arrow reach the water the value of d is equal to zero

we have

v=90\ ft/sec

h=486\ ft

d=0\ ft

substitute the values and solve for t

0=-16t^2 +(90)t+486

-16t^2+90t+486=0

Multiply by -1 both sides

16t^2-90t-486=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

a=16\\b=-90\\c=-486

substitute in the formula

t=\frac{90(+/-)\sqrt{-90^{2}-4(16)(-486)}}{2(16)}

t=\frac{90(+/-)\sqrt{39,204}}{32}

t=\frac{90(+/-)198}{32}

t_1=\frac{90(+)198}{32}=9\ sec

t_2=\frac{90(-)198}{32}=-3.375\ sec

the solution is t=9 sec

see the attached figure to better understand the problem

4 0
3 years ago
The expression x + 0.25x can be used to determine a 25% increase in the number of blog views from last month to this month. What
Drupady [299]

Answer:

1.25x

Step-by-step explanation:

Given that :

25% Increase in number of blog views can be expressed as (x + 0.25x)

Another way to make this representation is :

Total number of blog views + 25% of total

Total should add up to 100%

Let number of views = x

Hence,

(100% + 25%) of x

125% of x

125%x

= 1.25x

8 0
2 years ago
The regular price for a sweater is $48. The store is having buy one get one 1/2 off sale. If you buy 2 sweaters for that price w
IRISSAK [1]
25%


If you are buying 2 shirts for the same price, you have to calculate the cost of the shirt at half price first (1 piece of the pie) and then add it the original price (2 equal pieces of the pie since you just divided that to the price of the second shirt). That would be considered 3 out of 4 pieces off the pie or 75%. Your savings would be 25%.
4 0
3 years ago
Read 2 more answers
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