All categories

3 years ago

Can anyone explain this to me..please?

Mathematics

2 answers:

vodka [1.7K]3 years ago

5 0

Answer:

x = 37°

Step-by-step explanation:

If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

oee [108]3 years ago

3 0

If the lines are parallel x = 37° because corresponding angles are equal.

You might be interested in

What multiplies to -29 and adds to 1

Margarita [4]

First set up equation
x times y=xy

so
xy=-29
and
x+y=1
subtract x from both sides
y=1-x
subsitute 1-x for y in first equation
x(1-x)=-29
distribute
x-x^2=-29
add x^2 to both sides
x=-29+x^2
subtract x from both sides
0=x^2-x-29
so we can use the quadratic formula to solve for x if the equation=0 and it is in ax^2+bx+c form so

if
ax+bx+c=0 then x= $\frac{ -b+/-\sqrt{b^2-4ac} }{2a}$ that means x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$ or x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$ so

x^2-x-29
a=1
b=-1
c=-29
$\frac{ -(-1)-\sqrt{-1^2-4(1)(-29)} }{2(1)}$ = $\frac{ +1-\sqrt{1^2-(-116)} }{2(1)}=\frac{ +1-\sqrt{1^2+116} }{2}=\frac{ +1-\sqrt{117} }{2}= \frac{1-10.816653826392}{2} = [tex] \frac{-9.816653826392}{2}= -4.908326913196$

the second number is
$\frac{ -(-1)+\sqrt{-1^2-4(1)(-29)} }{2(1)}=\frac{ +1+\sqrt{1^2+(-116)} }{2(1)}= \frac{1+10.816653826392}{2} = \frac{ +1+\sqrt{117} }{2}= \frac{10.816653826392}{2}=5.908326913196$

the two numbers are
5.908326913196 and
-4.908326913196

7 0

3 years ago

Find the weekly wages for a person who earns 8 an hour and worked 45 hour from Monday through Friday.

notka56 [123]

Answer:360

Step-by-step explanation:

4 0

3 years ago

Find the missing endpoint if S is the midpoint of RT <br><br>R(-9,4) and S(2,-1) ; Find T

liraira [26]

Answer:

T is at (13,-6)

Step-by-step explanation:

x-coordinate of T: from -9 to 2, there's 11 units, so you add 11 to 2 to find the x-coordinate of T, which is 13.

y-coordinate of T: from 4 to -1 there's -5 units, so you subtract 5 from -1 to find the y-coordinate of T, which is -6.

4 0

3 years ago

You roll a standard number cube once find p(not multiple of 2)

GalinKa [24]

Answer: $\frac{1}{2}$

Step-by-step explanation:

Let's look at the numbers that we count.

The question says not multiple of 2, so we have to count to following numbers:

1 , 3 , 5

And in total there are 6 numbers, so our probability is

$\frac{3}{6}$ = $\frac{1}{2}$

7 0

3 years ago

Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

3 years ago