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gregori [183]
2 years ago
13

1. What is the measure of angle x? O 60° O 90° O 45° O 30°​

Mathematics
1 answer:
True [87]2 years ago
5 0

Answer:

Angle x= 60°

Step-by-step explanation:

For the triangle HIL, you're going to add 30+90=120

Angles in a triangle add up to 180.

So, therefore,

180-120=60   so angle L must equal 60.

HJ is a straight line and angles in a straight line add up to 180.

180-90=90

Angle JIL is equal to 90.

To find y you add 90+45 which equals 135.

Again, angles in a triangle add up to 180.

180-135=45

So,

y = 45

Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.

To find angle JLK we must add angle L and angle y.

60+45=105

Angles in a straight line add up to 180. So,

180-105=75

75 = Angle JLK

75+45=120

Angles in a triangle add up to 180 so,

180-120= 60

Angle x= 60°

Hope this helped, if so please award me with the brainliest if possible. If you require further assistance from me comment below! :)

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Jessica walks 13 mile to the post office and then 25 mile to the library.
Leto [7]

Answer:

B. 38 Miles. add 13 and 25 what do you get? 38.

Step-by-step explanation:

6 0
2 years ago
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3 people can build a shed in 8 hours how long would it take 5 people
harkovskaia [24]

Answer:

3howers

Step-by-step explanation:

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8 0
3 years ago
Given that the square root function is only defined for non-negative numbers, define the domain of f in terms of c. {x | ≥ 0}
diamong [38]

Answer:

c:(0;+∞)

Step-by-step explanation:

Given the situation, that the square root function only allows you values above than "0" (not equal neither), then you must consider that every value above 0 belongs to it's domain.

Then, to express the domain, going from your most negative number, to your most possitive number (in this case all positive number, thats why we use infinite)  you must use the parenthesis wich means, you are not considering the value (in this case 0), but the value right after it, to the next value that as we said before, is inifinite. Also remember, that when you express a domain, and use infinite (despite it's going to negative way, or possitive way, it also goes with parenthesis).

5 0
3 years ago
Help needed plez<br><br>Ans in (ii) is 1.5
Deffense [45]
OK first let's check the x=1.5. 

y = \frac x 6 (x^2 - 10)

y = 1-2x

1-2x = \frac x 6 (x^2 - 10)

6-12x = x^3 - 10 x

x^3 + 2x-6 = 0

Oh my, that's called a depressed cubic, no x^2 term. There's a formula for these very much like the quadratic formula but you're probably not quite old enough for that.  Anyway, x\approx 1.45616 \approx 1.5 is a solution, but that's not what they're asking.  They are asking us to compare 

x^3 + 2x-6 = 0

with

x^3 + bx^2 + cx + d = 0

and conclude b=0, c= 2, d=-6

It turns out we did need all the rest of it.  Save those brain cells, there's lots more math coming.


~~~~~~~~~~~~~~

I love it when the student asks for more.  Here's the formula for a depressed cubic. I won't derive it here (though I did earlier today, coincidentally, but I'm probably not allowed to link to my Quora answer "what led to the discovery of complex numbers" from here).  We use the trick of putting coefficients on the coefficients to avoid fractions.

x^3 + 3 p x = 2 q

has solutions

x = \sqrt[3] { q - \sqrt{p^3 + q^2} } + \sqrt[3] {q + \sqrt{p^3 + q^2} } &#10;&#10;


That's pretty simple, though sometimes we end up having to take the cube roots of complex numbers, which isn't that helpful.  Let's try it out on


x^3 + 2x=6


That's p=2/3, q=3 so

x = \sqrt[3] { 3 - \sqrt{(2/3)^3+9} } + \sqrt[3] {3 + \sqrt{(2/3)^3+9} }

x = \sqrt[3] { 3 - \sqrt{753}/9 } +\sqrt[3]{3 + \sqrt{753}/9 }

x \approx 1.4561642461359084609748069666






6 0
3 years ago
How much grain can a cylinder of the radius 4inches and height of 11inches hold?
strojnjashka [21]

Answer:

553.0 in³

Step-by-step explanation:

(please see attached for reference)

Assuming you are asked to find the volume,

the volume of the cylinder is given by

V = πr²h

where,

π=3.142

r = given as 4 inches

h = given as 11 inches

Substituting these values into the formula,

V = πr²h

V = 3.142 x 4² x 11

= 552.99

= 553.0 in³ (rounded to nearest tenth)

3 0
3 years ago
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