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REY [17]
3 years ago
13

Show work please for number 2

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

The combined distance between CD and DE is CE, so...

2x+4 + 6 = x+14   Simplify like terms..

2x + 10 = x + 14      Subtract x from both sides..

x + 10 = 14    Subtract 10 from both sides...

<h2><u><em>x = 4</em></u></h2>

Proof: 2 (4) + 4 + 6 = 4 + 14

       8 + 10 = 18

    <em> Check</em>

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A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below th
uysha [10]

Answer:

Limits for B scores

( 79,2 ; 92 )

Step-by-step explanation:

The interval we are looking for is between 6 % and 59%

p₁  = 6 %     p₁ = 0,06

As this point is at the right tail of the bell we better look for

p = 1- 0,06     p = 0,94

In z-table z score for 0,94062  is:    z₁ = 1,56      ( 0,94062 ≈ 0,94 )

Doing the same to find z₂ score for 59%  or 0,59

In z-table again

p =  0,59      

z₂ = 0,023

Now we know

1,56 * σ  = x₁ - 79

1,56*8,4 + 79 = x₁

x₁  =  92,10        or  x₁ = 92

And

0,023*8,4 + 79  = x₂

x₂ = 79,19         or    x₂ = 79,2

                 

4 0
3 years ago
Kiesha can install a fence in 3 days. Robert can install the same fence in 8 days. How long, in days,
tankabanditka [31]

Answer:

5.5 days

Step-by-step explanation:

you need to find the average between them so add them up and divide by 2.

4 0
3 years ago
Please help me with this?
emmasim [6.3K]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Which statements about finding the area of the equilateral triangle are true? Check all that apply.
lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

OC^2=OD^2+DC^2

5^2=a^2+(4.35)^2

25=a^2+18.9225

a=\pm 2.46526

a\approx\pm 2.5

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

\frac{1}{\sqrt{3}=\frac{a}{4.35}

a\approx\pm 2.5

Therefore option 2 is correct.

The perimeter of an equality triangle is

P=3a=3(8.7)=26.1

Option 3 is incorrect.

A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0
3 years ago
Read 2 more answers
Substitutions <br> y=x+4<br> y=3x+0
cluponka [151]

Answer:

x = 2

Step-by-step explanation:

since both equal y, you can set them equal to each other

x + 4 = 3x + 0

subtract x on both sides

4 = 2x

divide by 2 on both sides

2 = x

♡♡ hope this helped ♡♡

4 0
3 years ago
Read 2 more answers
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