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azamat
3 years ago
7

Solve for X and Y. be sure to solve for both.

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0

Answer:

x = 48; y = 13

Step-by-step explanation:

20/5 = 52/y

4 = 52/y

4y = 52

y = 13

20/5 = x/12

4 = x/12

x = 4 * 12

x = 48

Lera25 [3.4K]3 years ago
7 0

Answer:

x = 48, y = 13

Step-by-step explanation:

Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48

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The sum of two consecutive odd integers is<br> - 108. Find the two integers.
Ulleksa [173]

Answer:

-55 and -53

Step-by-step explanation:

5 0
3 years ago
write the equation of a line in slope intercept form that is parallel to the line x+5y=10 and goes through the point (-5,6)
lilavasa [31]

Answer:

The equation would be y = -1/5x + 5

Step-by-step explanation:

To find the equation of this new line, we first need to identify the slope of the first line. We do this by putting it into slope intercept form.

x + 5y = 10

5y = -x + 10

y = -1/5x + 2

In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -1/5. Since parallel lines have the same slope, our new slope will also be -1/5.

Given that and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y - 6 = -1/5(x + 5)

y - 6 = -1/5x - 1

y = -1/5x + 5


4 0
4 years ago
Write the equation in standard form of the circle with radius 5 and center 0,3
EleoNora [17]
The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. x and y can stay variables, so we can plug numbers in to get (x-0)²+(y-3)²=5²=25=x²+(y-3)²
4 0
3 years ago
Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards
kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

Area \  of \  rectangle = Length\times breadth

                             =234\times1 =234  \ square \ yards

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards

Therefore, 117 square yards of her garden has roses.

5 0
3 years ago
a train travelling at 60 km per hour completes the journey in 8 hour. How much faster would it have to travel to cover the same
antiseptic1488 [7]

Answer:

Total distance covered: 60x8 = 480

Speed needed to cover distance of 480 km in 6 hrs = 480/6 = 80 km/hr.

initial velocity : 60 km/hr.

Train needs to run faster with speed of 20km per hour to achieve same distance in 6 hrs.

Step-by-step explanation:

4 0
3 years ago
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