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ale4655 [162]
3 years ago
11

Solve for x and justify your answer ​

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
The answer is 51°.

The top two lines are parallel to each other. Therefore alternate interior angles theorem applies. The bottom right corner that is underneath the line (for lack of a better description) is also 58°.

We also know that a triangle equals 180°. So 58+71= 129°.

So to find that missing angle we subtract 129 from 180 to get the 51°.
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PLEASE HELP!! URGENT!!!! UNIT TEST!!!!
slavikrds [6]

ANSWER

y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16


EXPLANATION


Let us find the gradient of the line:

-3x+4y=4 by rewriting it in the slope intercept form.


\Rightarrow 4y=3x+4


We divide through by 4 now;


\Rightarrow y=\frac{3}{4}x+1


This is now in the form;

y=mx+c

where

m=\frac{3}{4} is he slope.


This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of m=\frac{3}{4} .


Thus the perpendicular line has slope,

m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}.


Let the perpendicular line have equation,


y=mx+c

When we substitute the slope we have;


y=-\frac{4}{3}x+c

We substitute the point. (4,0) to find c.


0=-\frac{4}{3}(4)+c


0=-\frac{16}{3}+c


\frac{16}{3}=c

We substitute c to obtain;


y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16

7 0
3 years ago
Read 2 more answers
Can someone help its math :)
belka [17]

Answer:

m<F = 53

Step-by-step explanation:

Exterior angles thm:

5x - 10 + 3x + 14 = 100

8x + 4 = 100

8x = 104

x = 13

m<F:

3x + 14

3(13) + 14

39 + 14

53

8 0
3 years ago
* 14 * x=2 * 28 . What x equal ?
AlladinOne [14]

Answer:

answer is 4

Step-by-step explanation:

look at picture

3 0
2 years ago
Read 2 more answers
Susanna used 2 3/8 cups of peaches and 1 2/8 cups of cherries to make a fruit cocktail. How many more cups of peaches than cherr
Snezhnost [94]

Answer:

around 1 1/8

.

.

.

.

.

..............

4 0
3 years ago
Read 2 more answers
A zealous geologist is sponsoring a contest in which entrants have to guess the age of a shiny rock. He offers these clues: the
nataly862011 [7]

Answer:

The total number of possibilities are 60.

Step-by-step explanation:

Given:

There are 6 digits and 3,7,9 are odd ones.

To Find:

How many possibilities are there for the rock's age

Solution:

Here condition is that number should start with odd digit

so there 3 number only as odd(3,7,9)

So it leaves 3 repeating  numbers i.e.2

So permutation of 5 numbers with 3 odd numbers

So possible arrangement will be

nPr

n=5 ,r=3

So 5P3=5!/3!

And finally for all possibilities as

=3*(5!/3!)

=3*(20)

=60

3 0
3 years ago
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