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Iteru [2.4K]
3 years ago
8

The ratio of the same side angles of two parallel lines is 1:14. Find all angles.

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0
The angles that lie at the same side of parallel lines are known to be always supplement of each other. This means that when we add them together, the value is 180°. If we let x be the common factor for the measures of the angle, the equation that we could use to determine the answer is,
 
                x + 14x = 180°

The value of x from the equation is 12. Hence, the angles are,
       
              x = 12
            14(12) = 168

Answer: 12° and 168°
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A standard city block in Manhattan is a rectangle measuring 80 m by 270 m. A resident wants to get from one corner of a block to
kondor19780726 [428]

Answer:

68.4 meters shorter

Step-by-step explanation:

ok so you want to compare the distance  80 m + 270 m with the diagonal length.

the diagonal length =  root ( 80^2   +  270^2 )

diagonal length = root(6400 +  72900)

diagonal = root(79300) =281.602 m

so.

350 - 281.602 = 68.397 meters  about  68.4 meters  shorter than walking around

5 0
3 years ago
The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
valentinak56 [21]

Answer:

Step-by-step explanation:

27 degrees

6 0
3 years ago
What is the value of x in the equation 4x+8y=40, when y=0.8?
lubasha [3.4K]
4x+8y=40
0.8*8=6.4
4x+6.4=40
40-6.4=33.6
4x=33.6
33.6\4=8.4
X=8.4
6 0
3 years ago
How do you solve this equation? 4 - 2x| + 5 = 9
Savatey [412]

Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

7 0
3 years ago
Please help I don't under stand how to do this ​
stealth61 [152]
You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.

In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.

Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8

Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees

You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38

Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
6 0
2 years ago
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