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3 years ago

Find the value of x and y:

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

x = 5

y = 40°

Step-by-step explanation:

the median and the base of the large triangle are parallel so angle y has the same measure as the one labeled as 40°

the median is half the base of the large triangle, so 5x = 8x + 10/2

cross-multiply: 10x = 8x + 10

2x = 10

x = 5

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64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44. (pls show an equation to determine S

Nimfa-mama [501]

Answer:

64=4(a-44)

Step-by-step explanation:

64=4(a-44)

64=4a-176

64+176=4a

240=4a

4a=240

a=240/4

a=60 years old

6 0

2 years ago

Please answer! <br> Solve for X

Sedbober [7]

Answer:

x = 3

Step-by-step explanation:

We can solve this by using ratios of similar triangles

3 x

------ = ------------

3+9 12

3 x

------ = ------------

12 12

x must equal 3 to keep the ratios the same

4 0

3 years ago

Read 2 more answers

3 Ximena draws an X shape in the coordinate plane as shown. Draw the images of

VARVARA [1.3K]

When a shape is rotated, it must be rotated around a point.

<em>See attachment for the image of each rotation.</em>

To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.

The top coordinates of the X shape are:

$A = (0,0)$

$B = (1,0)$

$C = (3,0)$

$D =(4,0)$

For 90 degrees counterclockwise rotation, the rule is:

$(x,y) \to (-y,x)$

So, we have:

$A' = (0,0)$

$B' = (0,1)$

$C' = (0,3)$

$D' = (0,4)$

For 180 degrees rotation, the rule is:

$(x,y) \to (-x,-y)$

So, we have:

$A' = (0,0)$

$B' = (-1,0)$

$C' = (-3,0)$

$D' = (-4,0)$

For 270 degrees counter rotation, the rule is:

$(x,y) \to (y,-x)$

So, we have:

$A' = (0,0)$

$B' = (0,-1)$

$C' = (0,-3)$

$D' = (0,-4)$

See attachment for the image of each rotation