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Crank
3 years ago
12

I need help with Geometry

Mathematics
1 answer:
Katarina [22]3 years ago
5 0

Answer:

x=2, mn=ol=7

Step-by-step explanation:

by definition of a parallelogram we can see that the 2 lines are equal and therefore x+5=2x+3 which we can solve and get x=2. We can put the x=2 back into either line to solve since the 2 lines have equal length. Done!

You might be interested in
Please answer my question
Ghella [55]

Interval notation uses parenthesis and brackets, while inequality notation uses inequality symbols.

a)

Interval notation: [-4, 8)

Inequality notation: -4\leq x

x >= -4, x < 8

---For inequality notation, it can also be written as two separate inequalities. I am not sure what your teacher is looking for, so I will provide both the compound and separate formats.

b)

Interval notation: (-infinity, 7)

Inequality notation: x < 7

c)

Interval notation: (-infinity, -6) U (0, infinity)

Inequality notation: -6> x \geq 0

x < -6, x >= 0

Hope this helps!

8 0
3 years ago
Four boxes of cookies were sold to a family of five each box contains 12 cookies if each family member ate 2 cookies from each b
Delvig [45]

Answer:B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)
Rom4ik [11]

Answer:


Step-by-step explanation:

Given : p(x)=x^{3} +6x^{2} -7x-60

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, \text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}

Since constant term = -60

Leading coefficient = 1

\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}

\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}

Thus the possible roots are  \pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0.  All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is x^{2} +x-12

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

x^{2} +x-12=0

x^{2} +4x-3x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)





3 0
4 years ago
Read 2 more answers
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of
kvv77 [185]

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

4 0
3 years ago
In a small company with 20 employees, 10 employees make $80,000/yr, 6 employees make $ 150,000/yr the 4 highest-paid employees a
Elis [28]

Answer:

$129 000/yr

Step-by-step explanation:

Weighted average is used to answer this question.

<em>total employees are 20</em>

10 employees make 80 000

<em>total earning for 10 employees </em>= 80 000 * 10 = 800 000 (multiplying)

6 employees make 150 000

<em>total earning for 6 employees= </em>150 000 * 6 =900 000<em> (multiplying)</em>

4 employees make 220 000

<em>total earning for 4 employees </em>= 220 000 * 4 = 880 00<em>0 (multiplying)</em>

<em />

<em>To calculate weighted average all the totals are added and then divide by total number of employees.</em>

<em>weighted average =</em> (800 000 + 900 000 + 880 000)/20

<em />

<em>weighted average = </em>2580000/20

<em />

<em>Weighted average = </em>129 000

<em />

8 0
3 years ago
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