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BigorU [14]
2 years ago
8

What is the measure of Arc ABC

Mathematics
2 answers:
shusha [124]2 years ago
5 0
The Arc measures 295°.
svp [43]2 years ago
4 0
Arc ADC measures 295°
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3 times a Numbers plus 12 is more than 15?
Darya [45]

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

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2 years ago
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Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch Which t
Leni [432]

Answer:

Its Sine

Step-by-step explanation:

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3 years ago
(Hehe...Please ignore the markings)
inysia [295]

Answer:

See below:

Step-by-step explanation:

Problem 1:

Multiply Equation 1 by 4, keep Equation 2 the same.

x+y=8, multiply each term by 4:

4*x=4x, 4*y=4y, 8*4=32

so, the equivalent system is: 4x+4y=32 and x-y=2

Solve the system of equations:

x-y=2 becomes x=y+2

plug into 4x+4y=32 to solve for y

4(y+2)+4y=32---> 4y+8+4y=32--->8y=24---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 1 Answer:

Equivalent system: 4x+4y=32, x-y=2; solution: x=5, y=3

Problem 2:

Keep Equation 1 the same. Add 1 and 2.

To add an equation, add the left sides together, and then the rights.

so: x+y=8 + x-y=2 gives us: 2x=10

solve for x ---> 2x/2=10/2--->x=5

plug x into x+y=8--->5+y=8--->y=3

Problem 2 answer:

Equivalent system: x+y=8, 2x=10; solution:x=5, y=3

Problem 3:

Subtract Equation 2 from 1, and keep 2 the same.

To subtract an equation, subtract the left sides, then the rights. We are subtracting 1<em> from </em>2, so its 2-1.

x-y=2 - x+y=8 gives us: -2y=-6

Solve for y by dividing by -2-->-2y/-2=-6/-2---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 3 answer:

Equivalent system: -2y=-6, x-y=2; solution: x=5, y=3

Problem 4:

Multiply the sum of Equation 1 and 2 by a factor of 3. Keep equation 2 the same.

First we add 1 and 2: (we did this earlier) ---> 2x=10 ---> now we multiply it all by 3---> 2x*(3)=10*(3)---> this gives us: 6x=30---> now divide by 6 to solve for x: 6x/6=30/6 gives us: x=5

Now, solve for y by plugging x into equation 2: x-y=2---> 5-y=2--->y=3

Problem 4 answer:

Equivalent system: 6x=30, x-y=2; solution: x=5, y=3

______

Quick Tip: One thing inherent of Equivalent systems is that they have the same set of solutions. Thus, we know the systems are equivalent when they have the same set of solutions for x and y. Moreover, you don't need to solve every time after you attempt to find an equivalent system, instead, just plug in the values found in problem 1 to each new set of equations to test if they are equivalent.

If we find x=5 and y=3 for x+y=8 and x-y=2, then all we have to do is plug them in to 6x=30 and -2y=-6 to see if they are equivalent.

6(5)=30 ---> true

-2(3)=-6 ---> true

3 0
2 years ago
Using the WASA, USA task if the measure of angle 32 is 118 degrees. Find
Karo-lina-s [1.5K]

Step-by-step explanation:

The first step is to locate and define the variables.

We are working with complementary angles which  are "either of two angles whose sum is 90°".  Therefore, our job is to find the degrees of 2 angles. We want to determine the algebraic equation for the sum of these two angles, we need a variable representing the second, complementary angle, let's say x. Next, let's use the information provided to write only the expression.

It states "an angle measures 32 degrees MORE THAN the measure of its complementary angle". Whenever we see the words "more than" we know we will be adding. If the complementary, second angle is represented as the variable x, then 32 more than x (x + 32) represents the first angle measure.  

To summarize what we have so far:

x+32 = (is) the value of the FIRST angle measure

x = (is) the value of the SECOND angle measure

We know that when these two angles are added TOGETHER they equal 90°

Therefore, x + 32 + x = 90° . But we aren't done yet! We have to solve for x in order to find the measure of BOTH angles:  

x + 32 + x = 90°  Our algebraic equation for this word problem

2x + 32 = 90°   Combine like terms  

 2x = 58   Subtract 32 from both sides of the equation, so that variables are on one side and              constants on the other side.

   x = 29°   Divide by 2 on both sides of the equation (we want to solve for x)

Now that we have solved for x, the measure of the SECOND, complementary angle, we can solve for the first angle.  

x+32 = (is) the value of the FIRST angle measure

29 + 32 = 61°   substitute x for its value, 29

Lastly, Check your work:  

29 + 61 = 90°  

90° = 90° ✓

6 0
2 years ago
A pedestrian walks 7.4 kilometers west
attashe74 [19]

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$

3 0
2 years ago
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