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
Mashutka [201]
3 years ago
9

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

11.3

Step-by-step explanation:

first we find angle F.

remember, all angles in a triangle always sum up to 180 degrees.

so,

F = 180 - 90 - 61 = 29 degrees

now we use the law of sines.

EF/sin(D) = ED/sin(F) = DF/sin(E)

DF = x

sin(E) = sin(90) = 1

5.5/sin(29) = x/1 = x

x = 11.3

You might be interested in
Five and one half of 2 and one third is what number?
labwork [276]

Given:

Five and one half of 2 and one third.

To find:

The number for the given statement.

Solution:

Five and one half = 5\dfrac{1}{2}

2 and one third = 2\dfrac{1}{3}

The given statement is five and one half of 2 and one third.

Here, the word "of" is used for multiplication.

So, the expression for the given statement is:

5\dfrac{1}{2}\times 2\dfrac{1}{3}

=\dfrac{10+1}{2}\times \dfrac{6+1}{3}

=\dfrac{11}{2}\times \dfrac{7}{3}

=\dfrac{77}{6}

Therefore, the required number is \dfrac{77}{6}.

8 0
2 years ago
Please help me I would really appreciate it.
Karo-lina-s [1.5K]

Given:

\overline{AB}\cong \overline {CD},\overline{BC}\cong \overline {DA}

To prove:

\Delta CDA\cong \Delta ABC

Proof:

In \Delta CDA\text{ and } \Delta ABC,

\overline{AB}\cong \overline {CD} because Given

\overline{BC}\cong \overline {DA} because Given

\overline{AC}\cong \overline {AC} because Reflexive property.

Corresponding sides of both triangles are congruent. So,

\Delta CDA\cong \Delta ABC because SSS

Therefore, the required missing values are: Given, \overline{BC}\cong \overline {DA}, Reflexive property ,\Delta CDA\cong \Delta ABC, SSS respectively.

5 0
3 years ago
If f(x)=2x-4 find f(q+1)
musickatia [10]
Is there any other information given on this?

5 0
3 years ago
Help on this assignment please :(
topjm [15]

Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

... x -1 = 15 . . . . . . . . . .divide by the coefficient of x

... x = 16 . . . . . . . . . . . add 1

_____

<em>Check</em>

m∠A = (3x+6)° = 54°

m∠C = (9x -68)° = 76°

The total of angles is 54° +50° +76° = 180°. . . . . as it should be

7 0
3 years ago
What causes a car to decelerate? <br> rolling friction<br> sliding friction<br> static friction
bearhunter [10]

Answer:

The grinding of the material

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Consider the expression 4x-3 what is the value of the expression when x=7. What is the value of the expression when x=22
    8·2 answers
  • F(x) = 4x ; find f(-15)
    14·1 answer
  • Oceanside bike rental shop charges 18 dollar plus 8dollars an hour for renting a bike. Benny pain 58 dollars to rent a bike a bi
    11·1 answer
  • URGENT. <br>Q) 18, 19, 20
    7·2 answers
  • If h(x) = x – 7 and g(x) = x2, which expression is equivalent to mc022-1.jpg?
    11·2 answers
  • Write the equation of a line that is perpendicular to y=3x-2y=3x−2y, equals, 3, x, minus, 2 and that passes through the point (-
    10·2 answers
  • Which expression is equivalent to (42)3<br> 45<br> 47<br> 90
    8·1 answer
  • CD is perpendicular to AB CREATE AC AND BC AND MEASURE THEIR LENGTHS
    6·1 answer
  • Step by step pleasee -- algerbra 2<br><br><br>g(a) = 4a ; find g(2a)
    15·1 answer
  • The store manager put 7 belts in sale. The belts were originally $16. The manager marked down the price of the belts by 40% how
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!