All categories

2 years ago

Can someone help me with this please

Mathematics

1 answer:

Elanso [62]2 years ago

5 0

Answer:

Step-by-step explanation:

4) the first thing to notice is that the sides a and c are the same.. that's what the small marks are telling you... that are the same length. and since they are.. this is an isosceles triangle and the two angle at the base .. along the b side will be the same.. so solving y is just the same as A or 52°

then to solve for x we also need to use that the triangle add up to 180° on those inside angles..

180= 52+52+14x+6

maybe you can solve it from here.. but i'll do it quickly

70 = 14x

5=x

5) the exterior angle at C is 146 the total angle is 180 so the angle inside the triangle is 180=146+x x= 34°

then use that the interior of the triangle add up to 180 again

180 = 34 + 5y+3 + 4y + 8

180 = 45 +9y

135 =9y

15 = y

You might be interested in

Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,

Molodets [167]

Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour.

3 0

2 years ago

Read 2 more answers

Which is a possible way to rewrite the equation y=3x 3b solve for b?

Nata [24]

3x-y/3=b, you are isolating b to the other side

8 0

2 years ago

Read 2 more answers

owen and needed to get his computer fixed he took it to the repair store the technician at the store worked on the computer for

meriva

To figure out this problem, let's set up an equation first to make it easier:

702.50 = 5.5x + 70

x = amount charged per hour

702.50 = 5.5x + 70

-70 -70

-----------------------------

632.5 = 5.5x

/5.5 /5.5

--------------------

115 = x

Owen was charged $115 per hour

7 0

1 year ago

rita traveled 1250 miles in the first 3 days of her trip. at this rat how long will it take her to travel 1875?

xenn [34]

It will take rita 4.5 days to travel to her destination

3 0

2 years ago

Read 2 more answers

(-2x²y)³ / (xy²z)² * (-yz)² Hello guys, im having trouble with this babe...

Masja [62]

$\frac{(-2x^2y)^3}{(xy^2z)^2(-yz)^2}$

On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³

On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.

$\frac{-8x^6y^3}{x^2y^6z^4}$

So, your reasoning is correct for what you have so far.

Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)

Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.

It might help to visualise the factors like this:

$\frac{-8xxxxxxyyy}{xxyyyyyyzzzz}$

Once you've cancelled out x² and y³ from each, you're left with

$\boxed{\frac{-8x^4}{y^3z^4}}$

7 0

2 years ago