Tom earns $30 a week mowing lawns. he spends 1/6 of his earnings on lunch and 1/3 of his earnings on music . he saves the rest . How many dollars does Tom save?

Answer:

x = 50°

y = 130°

z = 130°

Step-by-step explanation:

the central angle is equal to it's arc in degrees.

y = 180° - 50° = 130°

Given:

The three lengths in the options.

To find:

Which three lengths could be the lengths of the sides of a triangle?

Solution:

If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.

In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.

Sum of two smaller sides is:

[tex]4+8=12[/tex]

[tex]4+8<13[/tex]

So, the triangle is not possible.

In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.

Sum of two smaller sides is:

[tex]13+11=24[/tex]

[tex]13+11>23[/tex]

So, the triangle is possible.

In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.

Sum of two smaller sides is:

[tex]5+12=17[/tex]

[tex]5+12<18[/tex]

So, the triangle is not possible.

In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.

Sum of two smaller sides is:

[tex]8+16=24[/tex]

[tex]8+16<25[/tex]

So, the triangle is not possible.

Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.

Answer:

radius is 16 inches

Step-by-step explanation:

C = 2πr

96 = 2(3) r

16 = r

Answer:

Step-by-step explanation:

2y + 1 is a binomial, in that it has two terms.

If we set 2y + 1 equal to x, then 2y = x - 1, or

        x - 1

y = -----------

           2

Answer:

The answer to the question is 80π

Answer: 38°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

Simce the first angle is 52°, subtract 90-52 to get 38°

Answer:

×= 4 and the perimeter is 18

Step-by-step explanation:

(x+3)(x-2)=14

x^2+x-6=14

x^2+x-20=0

(x+5)(x-4)=0

x=4

perimeter = 7(2)+2(2)=18

Answer:

i think A tell me if it is wrong pls

Step-by-step explanation:

Answer:

45.5

Step-by-step explanation:

First, you need to put the data in order: 37, 39, 41, 43, 48, 51, 52, 54

I'm not sure what 5 median means, but to find the median, you look for the middle number of the data set.

43 + 48 = 91      

then, you divide the numbers by 2 to get the median.

91/2= 45.5

So, the median is 45.5

Answer:

-12 and 8

Step-by-step explanation:

Answer:

8 and -12

Step-by-step explanation:

xy = -96

x+y = -4

x = -y-4 which is the same as

substitution method:

y(-y-4) = -96

-y² - 4y + 96 = 0

-(y² + 4y - 96) = 0

(y + 12)(y - 8) = 0

y = -12

y = 8

Answer:

f(x^3-8)=x^6-19x^3+90

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.95 is the correct answer

Answer:

The two lines are neither parallel nor perpendicular

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope of the line and b is the y intercept of the line

Now, we express the two given equations in this form

We have this as;

7y = x + 5

y = 1/7(x) + 5/7

For the second equation, we have;

y = 7x - 4; this is already expressed

the slope of the first line is 1/7

the slope of the second line is 7

when two lines are parallel, their slopes are equal

when two lines are perpendicular, the product of their slopes is -1

As we can see, both cases does not occur in this system of equations

So, we can conclude that both lines are neither parallel nor perpendicular

Step-by-step explanation:

simplify

log(x)/log(4) = 0

simplify

log(4x)/log(4) = 1

expand

2log(5)/log(4) + log(4x)/log(4) = log(100)/log(4)

factor

2log(5) + log (4x) / log(4) = log (100) / log (4)

then

x=1

Answer:

Hello it is a reduction because it is smaller then the original shape and the green shape is the dilation!

Its a scale factor of 1/2 Hope this helps!

Answer:

Step-by-step explanation:

It's a reduction (smaller) so the scale factor is  less than 1.

In fact it is 1/2 as for example B (4, 4) maps to B' (2, 2).

Answer:

x = 5

Step-by-step explanation:

4(x + 3) = 32

Use Distributive Property

4x + 12 = 32

Subtract 12 on both sides

4x = 20

Divide 4 on both sides

x = 5

Hope this helps! ^^

Answer:

10

Step-by-step explanation:

Because x=4 you have to plug it into the equation

3(4)-2=

12-2=

=10

Answer:i dont remember

Step-by-step explanation:

Answer:

One thousand

Step-by-step explanation:

Answer: one thousand

Step-by-step explanation:

A thousandth is one of a thousand equal parts of something. ... a dust particle weighing only a thousandth of a gram.

Answer:

the awnswer is a = 7 + c

Step-by-step explanation:

Answer:

40⁰

Step-by-step explanation:

As triangle is isosceles,

Z = Y = 70⁰

Thus X = 40⁰, to corporate angle sum property

Answer:

Tha answers is

1/6

Step-by-step explanation:

Hope this help

Answer:

Step-by-step explanation:

hello :

d. No solution

Answer: hewo, there! your answer is below

x= -5/4

or x= 8

Step-by-step explanation:

step 1: Subtract 27x+40 from both sides.

4x2−(27x+40)=27x+40−(27x+40)

4x2−27x−40=0

Step 2: Factor left side of equation.

(4x+5)(x−8)=0

Step 3: Set factors equal to 0.

4x+5=0 or x−8=0

hope this helps you

have a great Day

Plz makr branilest

Answer:

what

Step-by-step explanation:

Answer:

£160

Step-by-step explanation:

£262 x (100% - 39%) = £159.82 ≈ £160

Answer:

159.82

Step-by-step explanation:

262-%

262-(39%-262)

61/100*262

we take hundred at the place of%

61*262/100

15982/100

159.82

therefore£160

Answer:

x=4

Step-by-step explanation:

C+E=180

14x-8+132=180

14x=180-132+8

14x=56

x=4

Answer:

10°

Step-by-step explanation:

132° = (14x - 8)°

140° = 14x

× = 10°