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2 years ago

15

I need to know how the solve the answers below

1 answer:

FrozenT [24]2 years ago

7 0

S is given as 58 degrees.

There are 180 degrees in a triangle. Using this you know that S + T + TUS = 180

T is given as 5x + 10

TUS can be defined as TUS + AUT = 180, or TUS = 180 - AUT

AUT is given as 11x + 2

Plug everything into the first equation to give you 58 + (5x + 10) + (180 - (11x + 2)) = 180

Solve for x, and be careful with the negative in front of (11x+2)

58 + 10 + 180 - 2 + 5x - 11x = 180

-6x = -66
x = 11

Plug x back into the equations for AUT and T to get your final answers.

AUT = 11(11) + 2 = 123 degrees
S = 58 degrees
T = 5(11) + 10 = 65 degrees
TUS = 180 - AUT = 180 - 123 = 57 degrees

You can check your answer by making sure
S + T + TUS = 180, which it does.

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tia_tia [17]

0.125g = 125 mg
So half of a 250 tab = 250/2=125 tab.
=>
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4 0

3 years ago

4/3 + -1/6 + 13/12. Please answer step by step if possible. Thanks.

strojnjashka [21]

Answer:

9/4

Step-by-step explanation:

We follow bodmas

4/3 +( -1/6 + 13/12)

( lcm = 12)

( -2+ 13/12)

( 11/ 12)

4/3 + ( 11/12)

4/3 + 11/12

lcm = 12 also

and that will equal to

=16 + 11/ 12

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divide by 3 to simplest form

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6 0

1 year ago

Read 2 more answers

Oh yikes this is a hard one!

Likurg_2 [28]

Answer:

A.

Step-by-step explanation:

$\frac{1}{3}$ ÷ 5 = $\frac{1}{3}*\frac{1}{5} =\frac{1}{15}$

4 0

2 years ago

Read 2 more answers

Hi. Please i need help with this question .

jek_recluse [69]

Answer:

b. 38 cm.

Step-by-step explanation:

Note that the 2 sides which are unmarked are the opposite sides of 2 rectangles so they are both = 2 cm.

Now we just add all the given sides.

Starting with 6 on the top and travelling clockwise:

Perimeter = 6 + 2 + 2 + 3 + 3 + 2 + 7 + 2 + 3 + 3 + 3 + 2

= 38 cm.

6 0

2 years ago

Read 2 more answers

Consider the rectangle.

SCORPION-xisa [38]

Given:

The graph of a rectangle.

The given rectangle is dilated from the origin by a scale factor of 3.

To find:

The vertices of the image of the rectangle after the dilation.

Solution:

From the given graph it is clear that the vertices of the rectangle are A(0,2), B(0,4), C(3,4) and D(3,2).

If a figure is dilated from the origin by a scale factor of 3, then

$(x,y)\to (3x,3y)$

Using this rule, the vertices of the image are:

$A(0,2)\to A'(3(0),3(2))$

$A(0,2)\to A'(0,6)$

Similarly,

$B(0,4)\to B'(3(0),3(4))$

$B(0,4)\to B'(0,12)$

And,

$C(3,4)\to C'(3(3),3(4))$

$C(3,4)\to C'(9,12)$

And,

$D(3,2)\to D'(3(3),3(2))$

$D(3,2)\to D'(9,6)$

The vertices of the image after dilation are (0,6), (0,12), (9,12), (9,6).

Therefore, the correct options are B and F.

3 0

2 years ago