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
Ainat [17]
3 years ago
6

How do I solve for x?

Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

x=11 degrees

Step-by-step explanation:

There's a property of a triangle where the sum of two of the interior angles is equal to 180-(last interior angle). In this case, 180-(last interior angle) is equal to 7x-1, because angles BAE and BAC are supplementary, which means that they add up to 180 degrees.

So, we can set up an equation

(56)+(2x-2)=(7x-1)

Solving, we get

56+2x-2=7x-1

56-2=5x-1

54+1=5x

55=5x

11=x

You might be interested in
Mr and mrs Lim took their 2 children to the bird park.An adult ticket cost 4 times as much as a child’s ticket.Mr Lim paid a tot
Vinil7 [7]

c = unknown

a = 4c

120 = 2a + 2c

120 = 2(4c) + 2c

120 = 8c + 2c

120 = 10c

120/10 = 10c/10

c = 12

6 0
3 years ago
Read 2 more answers
Math help pls!!<br> i have no clue how to do this
REY [17]

Answer:

I THINK it's A

Step-by-step explanation:

6 0
3 years ago
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
How many solutions does the equation have? 4x+19=-9-6x
valentinak56 [21]

Answer:

one solution; x= -28/10

Step-by-step explanation:

5 0
3 years ago
The perimeter of a rectangle is 60 m and its length is twice its width. find the length of the rectangle
GREYUIT [131]
Length = 2W

P= 2L + 2W
60 = 2(2W) + 2W
60= 4W +2W
60 = 6W
60/6W = 6W/6W
w = 10
Length = 2(10)
Length = 20

P= 2L + 2W
60= 2(20) + 2(10)
60= 40 +20
60 = 60
4 0
3 years ago
Other questions:
  • COMMUNICATION In 1996, there were 171 area codes in the United States. In 2007, there were 215. Find the rate of change from 199
    9·2 answers
  • How do I simply this radical expression?
    13·1 answer
  • When sodium azide is activated in an automobile airbag, nitrogen gas and sodium are produced according to the following equation
    5·1 answer
  • Casey has 8 1/2 yards of fabric. She uses 2 1/2 yards to make pillows and 3 yards to make curtains. How much fabric is remaining
    9·2 answers
  • If 10% of x is 20, what is 23% of x? A. 33 B. 46 C. 200 D. 230
    9·2 answers
  • Find the value of x in each case. Give reasons to justify your solutions!
    6·1 answer
  • 12. A garage is x metres wide. It is 5 metres longer than it is wide. The area of the garage
    15·1 answer
  • X -3,4,11,18 y -3,1,5,9
    15·1 answer
  • ⚠️⚠️ JUST TELL ME THW SLOPE AND EQUATION ITS MY LAST KNE ⚠️⚠️
    15·2 answers
  • What is the x- coordinate of the zero of the graphed line?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!