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
Juli2301 [7.4K]
3 years ago
9

If RSTU is a rhombus, find the measure of angle RUT.

Mathematics
1 answer:
Schach [20]3 years ago
8 0

<u>Finding x:</u>

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19                      [replacing the given values of the angles]

7x - 23 = 19                                [subtracting 3x from both sides]

7x = 42                                       [adding 23 on both sides]

x = 6                                           [dividing both sides by 7]

<u>Finding ∠RUT:</u>

We can see that:

∠RUT = ∠RUS + ∠TUS

<em>Since we are given the values of ∠RUS and ∠TUS:</em>

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

<em>We know that x = 6:</em>

∠RUT = 13(6)-  4

∠RUT = 74°

You might be interested in
How to find rate of change on a table
LekaFEV [45]

Answer:

   __X__l__Y_

        1     l    3

        5    l    6

        9     l    9

        13   l    12

        17   l    15

        21   l    18

On the right side, the numbers get larger by adding three each time. On the left side, the numbers get larger by adding 4 each time. It would be the same for any other pair of numbers when you add 4 to the left, and 3 to the right. For instance, the next pair would be (25 , 21). 25 would be the X value, and 21 would be the Y value.

4 0
3 years ago
Which table contains ordered pairs that lie in the graph of a line but not in the graph of a linear function?
Marizza181 [45]

Answer:

B)

Step-by-step explanation:

Again, in this case, you are looking for the undefine <em>rate of change</em> [<em>slope</em>], meaning that there are repetitive x-coordinates. With that being said, you have your answer.

I am joyous to assist you anytime.

3 0
3 years ago
Evaluate<br> -2/9-(-7/6)
kkurt [141]

Answer:

17/18

Step-by-step explanation:

- 2

9

–  

- 7

6

=  

-2 × 2

9 × 2

–  

-7 × 3

6 × 3

=  

-4

18

–  

-21

18

=  

-4 – -21

18

=  

17

18

8 0
3 years ago
Read 2 more answers
Solve for the missing side of this right triangle. <br> 24 mi<br> 16 mi.
Over [174]

Answer:

384

Step-by-step explanation:

I just went to my calculator and did 24×16 and I got 384

3 0
3 years ago
What is the fraction twelve twentieths in its simplest form
Alla [95]
You mean \frac{12}{20} or \frac{20}{12} ?

If you had meant, \frac{12}{20}, then the simplest form of this fraction would be - \frac{3}{5}

Divide both parts of the fraction by 4, and you get \frac{3}{5}the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - \frac{20}{12}
Flop the simplest form of the previous fraction, that's \frac{5}{3}

If you had meant \frac{20}{12}, then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - \frac{3}{5} or \frac{5}{3}<span>. We can't divide it any further. So, we know that it is in its simplest form.
</span>
L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
\frac{12}{20} or \frac{20}{12}

1) 
Divided by 2 = \frac{6}{10} or \frac{10}{6}

2) 
Next, also by 2 = \frac{3}{5} or \frac{5}{3}

That took much longer, right.
<span> So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.</span>

3 0
3 years ago
Read 2 more answers
Other questions:
  • If you can help with any questions on here ! with an explanation pls
    15·1 answer
  • What is log 8/3 base 5 ​
    8·1 answer
  • A building is at least 75 stories tall
    11·1 answer
  • When you trisect an angle you cut it into blank equal pieces?
    11·2 answers
  • What is (0.54)⋅(3.8)=
    9·2 answers
  • The ratio 2/8 could represent which of the following?
    10·1 answer
  • (1/6 + 2 2/3)x(1 1/4-1/2)
    13·1 answer
  • Heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy (got to match my vibe to answer)
    12·2 answers
  • Ind 59:
    7·1 answer
  • 2x + 3 = 5 . Solve for x
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!