1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
beks73 [17]
3 years ago
5

In the diagram below of a parallelogram STUV, SV=x+3, VU 2x-1, and TU=4x-3. What is the length of SV?

Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

SV=5\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In a parallelogram opposites sides are parallel and congruent

so

In this problem

SV=TU ---> by opposite sides

substitute the given values

x+3=4x-3

solve for x

4x-x=3+3\\3x=6\\x=2

Find the length of SV

SV=x+3

substitute the value of x

SV=2+3=5\ units

You might be interested in
A shipping company charges a $6 flat fee for a package, plus a fee based on the weight of the package. The company charges $1.25
Musya8 [376]

Answer: 11.2 pounds is the max weight of the package he can have.

Step-by-step explanation: $20 - $6 is $14. $14 divided by 1.25 is 11.2.

8 0
3 years ago
Factor the trinomial 5x^2-x-4
LenaWriter [7]

Answer:

<h2>(5x+4)(x-1)</h2>

Step-by-step explanation:

5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)

6 0
3 years ago
Read 2 more answers
A hog producer is feeding soybean meal and corn to his pigs. He needs to know how many pounds he needs to feed of each in order
Mazyrski [523]

Answer:

Feed 1, Soybean meal required =  \dfrac{2000}{3} \text{ lbs.}

Feed 2, Corn meal required = \dfrac{4000}{3} \text{ lbs.}

Step-by-step explanation:

Total feed is <em>1 ton</em> i.e. <em>2000 lbs</em>.

Let <em>x</em> be the amount of Feed 1 required.

Feed 1 has 45\% of protein.

\text{Protein in Feed 1 = }x \times \dfrac{45}{100} ..... (1)

Then, amount of Feed 2 required = (2000 - x) \text{ lbs.}

Feed 2 has 15\% of protein.

\text{Protein in Feed 2 = }(2000 - x) \times \dfrac{15}{100} ..... (2)

As per question, total protein required is 25\% of 2000 lbs .

Adding (1) and (2) and putting it equal to total protein required.

\Rightarrow x \times \dfrac{45}{100} + (2000 - x) \times \dfrac{15}{100} = 2000 \times \dfrac{25}{100}\\\Rightarrow 45x + 30000 - 15x = 50000\\\Rightarrow 30x = 20000\\\Rightarrow x = \dfrac{2000}{3}

Feed 1 required = \dfrac{2000}{3}\text{ lbs .}

Feed 2 required = 2000 - \dfrac{2000}{3}\\

\Rightarrow \dfrac{4000}{3}\text{ lbs.}

7 0
3 years ago
Help Solve for x. 1. -3x + 4 = 31
quester [9]

Answer:

1)-9

2)16

3)-2

Step-by-step explanation:

1)

-3x + 4 = 31

-3x = 31 - 4

-3x = 27

-x = 27/3

-x = 9

x = -9

2)

2x + -10 = 22

2x = 22 + 10

2x = 32

x = 32/2

x = 16

3)

40 = 32 – 4r

-4r = 40 - 32

-4r = 8

-r = 8/4

-r = 2

r = -2

4 0
3 years ago
Read 2 more answers
3(2x+2)/6 &gt; 1/3x + 2
Arturiano [62]

Answer:

x> 3/2

Step-by-step explanation:

is this the answer you're looking for?

8 0
3 years ago
Other questions:
  • A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon o
    8·2 answers
  • I don’t get how to answer 8x + 4 - x/2
    11·1 answer
  • Can someone help me figure out the answer?
    10·1 answer
  • club a raised $168 by washing 42 cars. club b raised $152 by washing 38 cars. are these fundraising rates equivalent ? explain y
    15·1 answer
  • Is (10, -12) a solution to the equation 3x + 2y =6?<br>Yes<br>No​
    11·1 answer
  • Find the measure of the indicated angle to the nearest degree
    14·2 answers
  • Please help me please it’s this question
    5·1 answer
  • Wouldn’t it be 120 degrees too?
    6·1 answer
  • How many kilograms are there in 37 pounds?
    6·2 answers
  • Which is an equation of a circle with center (2, −10) and radius 3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!