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Oliga [24]
3 years ago
14

Please answer these 2 questions. I promise to mark as brainliest if you can solve with steps. Thank you.

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

4

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BC}{EF} = \frac{AB}{DE} ( substitute in values )

\frac{x-1}{18} = \frac{4}{12} ( cross- multiply )

12(x - 1) = 72 ( divide both sides by 12 )

x - 1 = 6 ( add 1 to both sides )

x = 7

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

5

The parallel line segment SV is half of RW

that is x = 7.5

SV also divides the sides RT and WT in proportion, that is

\frac{10}{3} = \frac{8}{y} ( cross- multiply )

10y = 24 ( divide both sides by 10 )

y = 2.4

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Number of different types of atoms in the universe-
SashulF [63]
Their are many different types of atoms in the universe. It can include the proton, neutron, and the electron. Also, the quark is a particle but is not found alot. 
5 0
3 years ago
F(x) = (x + 6)2 + 3; horizontal shrink by a factor of 1/2
eimsori [14]

Answer:

A function s is the HORIZONTAL SHRINK of a function h by a factor k

if s(x) = h(kx)

It is called a shrink, because for k > 1 that has the effect of compressing

the function h towards the y-axis.

I find the problem statement a little confusing because

using k = 1/6 would result in stretching, not shrinking.

Therefore my guess is that the author means k = 6.

A function r is a REFLECTION of a function h in the x-axis

if r(x) = -h(x).

The reason is that r looks like a mirror image of h,

where the mirror is the x-axis  

 

A function t is a TRANSLATION 2 units down of a function h

if t(x) = h(x) - 2.

The graph of t looks like h, except shifted down 2 units.

Applying the definitions to your function f:

g(x) = -f(6x) - 2 = -36x^2 - 2

7 0
3 years ago
ing needs 3 cups of milk to make 30 cookies. How many ounces of milk would he need to make 120 cookies?
Llana [10]

Answer:

12 cup of milk.

Step-by-step explanation:

if 3 cups of milk can make 30 cookies it means 1 cup of milk can make 10 cookies then for 100 cookies we need 10 cup of milk and 30 more means 3 more so answer is 12

8 0
3 years ago
What is the slope of the line? please help right answers only please!
grigory [225]

Answer: 2

Step-by-step explanation:

Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  } \\Slope = \frac{3 - 1}{1}  = 2

8 0
3 years ago
Read 2 more answers
The governor of a state earns $54,625 more than the governor of state B. If the total of their salaries is 286,165, find the sal
Kitty [74]
For this case, the first thing we must do is define variables.
 We have then:
 x: governor of a state gains
 y: governor of b state earnings
 We now write the system of equations that models the problem.
 We have then:
 x + y = 286165

x = y + 54625
 Solving the system of equations we have:
 y + 54625 + y = 286165

2y = 286165 - 54625

2y = 231540

y = 231540/2

y = 115770
 Then, for x:
 x = y + 54625

x = 115770 + 54625

x = 170395
 Answer: governor of a state earns $ 170395
 
governor of b state earns $ 115770
6 0
3 years ago
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