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
salantis [7]
2 years ago
15

Answer and explanation please

Mathematics
1 answer:
mote1985 [20]2 years ago
3 0

Answer:

x=17, y=12

Step-by-step explanation:

From the figure we know that,

Angle CDB = 4x-5

Angle BDE = 10y-3

Angle DEA= 97-2x

Though we are NOT given that line segments BD and AE are parallel, we may assume so by the construction of the triangle.

Hence, BD II AE and are cut by the transversal CE,

Hence,

Angle CDB = Angle CEA  {Corresponding angles are equal}

4x-5=97-2x\\4x+2x=97+5\\6x=102\\x=17\\\\So,\\Angle\ CDB\ = (4x-5) = (4*17-5) = (68-5) = 63

As we observe that,

Angle CDB and Angle BDE form a linear pair, they are supplementary.

Hence,

Angle CDB + Angle BDE = 180

Thus,\ 63+ Angle\ BDE=180\\Angle\ BDE\ = 180-63=117\\\\As\ BDE=(10y-3),\\117=10y-3\\117+3=10y\\120=10y\\y=12

You might be interested in
Find the measure of the indicated angle
Margarita [4]

Answer:

the unknown angle is 88°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the opposite interior angles. Therefore, in the tall triangle, 60 + 40 = 100, meaning the bottom left angle in the small triangle is 100-64=36. And b/c angle sum of a triangle is 180°, 180-36-56=88°

6 0
3 years ago
Read 2 more answers
Triangle JKL was dilated using the rule . The image, triangle J'K'L', is the result of the dilation.
egoroff_w [7]

5 units is L'L ( I took the quiz and got it right)

5 0
3 years ago
Read 2 more answers
Which statement is correct about y = cos^–1 x?
Maurinko [17]

Answer:

A) If the domain of y=cos(x) is restricted to [0, π], y=cos^-1(x) is a function.

Step-by-step explanation:

In order for the inverse function to be a function, the original must pass the horizontal line test: a horizontal line must intersect the function in only one place.

As you can see from the attached graph, restricting the cosine function to the domain [0, π] allows it to pass the horizontal line test, so its inverse will be a function.

__

Restricting the domain to [-π/2, π/2] does not limit cos(x) to something that will pass the horizontal line test.

5 0
3 years ago
Make w the subject of the formula y - aw = 2w - 1
Salsk061 [2.6K]

Answer:

w=\frac{y+1}{a-2} (a\neq 2)

Step-by-step explanation:

y - aw=2w-1\\y-aw-2w=-1\\-aw-2w=-1-y\\-w(a-2)=-(y+1)\\w(a-2)=y+1\\w=\frac{y+1}{a-2} (a\neq 2)

Hope this helps!

6 0
2 years ago
Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?
tigry1 [53]

Answer: 0.48

Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Describe how to find the measurement of angle L using the measurement of angle C.
    9·2 answers
  • HELP AS SOON AS POSSIBLE!!
    12·1 answer
  • Expand and simplify 5(X-3)-2(2x+1)
    7·1 answer
  • Jerome deposit 3700 in a certificate of deposit that pays 6 1/2
    6·1 answer
  • A boat is moving due east at 15 miles per hour when it encounters a current LaTeX: \textbf{C} = 2\textbf{i}+17\textbf{j}C = 2 i
    6·1 answer
  • If f(x) = 2x + 1, and<br> g(x) = x - 3, then<br> f(g(x)) = [ ? ]x + [ ]
    7·1 answer
  • What is the domain of the function for this situation?
    15·1 answer
  • HELP ME PLZ 20 POINTS AND BRAINLIEST
    9·1 answer
  • 100 Points and brainliest for correct answer !!
    10·2 answers
  • In the equation 32-b=3b-8
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!