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OlgaM077 [116]
3 years ago
9

Work out size of angle x

Mathematics
2 answers:
Blizzard [7]3 years ago
8 0
First, you calculate the inner corners of the triangle. These two are 115 -> 65 and 304 -> 56, because a straight line is 180 degrees and a circle is 360 degrees. Then you can calculate the third corner: 59 degrees. Then, since a staight line is 180 degrees, you can calculate the answer. 180-59= 121

Answer: 121 degrees
PtichkaEL [24]3 years ago
7 0

Answer:

e

Step-by-step explanation:

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NO SILLY ANSWERS PLEASE <br> Can someone help me with this?
marusya05 [52]
Keep in mind that, when the logarithm base is not explicitly written, base 10 is assumed, therefore,

\bf \textit{Logarithm Cancellation Rules}\\\\&#10;log_a a^x\implies x\qquad \qquad a^{log_ax}=x\\\\&#10;-------------------------------\\\\&#10;10^{log(3)}+log(100)\implies 10^{log_{10}(3)}+log_{10}(100)\implies 3+log_{10}(10^2)&#10;\\\\\\&#10;3+2\implies 5
7 0
3 years ago
In Miami the number of highway accidents increased by 20% over a four year period. How many accidents were there in 2013 if ther
wariber [46]
X/5120=20/100
x/5120=1/5
5120/5=1024
1024+5120=6144
6144 is the answer.
9 0
3 years ago
A store display has 135 shoes made up of running and walking shoes. there are 1.5 times as many pairs of walking shoes as there
vlabodo [156]
About 67 pairs.  one shoe is left over.  walking; 26 pairs  running: about 41 pairs.  sorry if im wrong
5 0
3 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
Hello there!
otez555 [7]

Answer:

24  Domain: s>=2  or s<=-2

25. 3x^2 +14x +10

26. x^2 -2x+5  

Step-by-step explanation:

24.  Domain is the input or s values

square roots must be greater than or equal to zero

s^2-4 >=0

Add 4 to each side

s^2 >=4

Take the square root

s>=2  or s<=-2


25.  f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = 3u^2 +2u-6

g(x) = x+2

f(g(x) = 3(x+2)^2 +2(x+2) -6

Foil the squared term

       = 3(x^2 +4x+4) +2x+4-6

Distribute

       = 3x^2 +12x+12 +2x+4-6

Combine like terms

   =3x^2 +14x +10


26 f(g(x))  stick g(x) into f(u) every place you see a u

f(u) = u^2+4

g(x) = x-1

f(g(x) = (x-1)^2 +4

Foil the squared term

         = (x^2 -2x+1) +4

         = x^2 -2x+5  

7 0
3 years ago
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