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3 years ago

The sum of two numbers is 60 . The smaller number is 12 less than the larger number. What are the numbers?

Mathematics

1 answer:

statuscvo [17]3 years ago

5 0

Answer:

36 and 24

Step-by-step explanation

36 - 24 = 12

36 + 24 = 60

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HELPPPPPPPPPPPPPPP RATE 5 STARSS

Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is: $\sqrt{(x-w)^{2} +(y-z)^{2} }$

so, the length of the side AB =

$\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5$

the length of side BC =

$\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }$

the length of side AC=

$\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4$

now, the easiest one will be when the vertices are on the coordinate axes.

so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

here, the alternate interior angles are angle1 and angle4.

therefore to prove this step, he used parallel postulate as a reason.

so, the correct option is "a"

7 0

3 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

sattari [20]

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{14\sqrt{3} }{x}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

x $\sqrt{3}$ = 28 $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

x = 28

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

To find y use the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{14\sqrt{3} }{y}$ = $\sqrt{3}$ ( multiply both sides by y )

14 $\sqrt{3}$ = y $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

y = 14

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3 years ago

The 6% state income tax on a $42.00 salary

prisoha [69]

Answer:

75 cents

Step-by-step explanation:

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2 years ago

The environment club has saved 200 pounds of cans and promises to collect 20 pounds of cans each week and will use the profits t

anzhelika [568]

Answer:

Step-by-step explanation:

Since they are collecting 20 pounds of cans each week, the slope is 20/1, or 20.

Hope this helps!

5 0

3 years ago

Read 2 more answers

I NEED HELP ASP 20 points

leva [86]

Circumference
C = pi d
C = 3.14 x 10
C = 31.4 cm

Area
A = pi r^2
A = 3.14 x 5^2
A = 78.5 cm^2

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3 years ago