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
slamgirl [31]
2 years ago
7

PLS HELP 50 POINTS Calculate m∠ABC and m∠CBD, what is the value of x?

Mathematics
2 answers:
KATRIN_1 [288]2 years ago
8 0

Step-by-step explanation:

∠ABF = 90° (given)

∠ ABC + ∠CBD + ∠DBE = 180°

(sum of all angles in a straight line is 180°)

so now,

x + 5 + 45 + 3x + 6 = 180

4x + 56 = 180

4x = 180 - 56 = 124

x = 124/4 = 31

x = 31

therefore, in overall figure value of x is 31°.

hence,

∠ABC = x + 5° → 31 + 5 = 36°

∠CBD = 45° (given)

∠DBE = 3x + 6° → 3×31 + 6 → 99°.

Hope this answer helps you dear!

dusya [7]2 years ago
7 0

Answer:

bottom right, x = 90

bottom left, x = 40

top left, x = 28

Step-by-step explanation:

This problem uses the variable x to mean three different numbers.

This is an incorrect use of a variable.

On the bottom right, x is a right angle, so x = 90.

On the bottom left, x + 5 = 45, so x = 40.

On the top left, 3x + 6 = 90, so x = 28.

You might be interested in
Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)
maxonik [38]

Answer with Step-by-step explanation:

We are given that

r(t)=< t^2,\frac{2}{3}t^3,t >

We have to find T,N and B at the given point t > (1,2/3,1)

r'(t)=

\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1

T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}

Now, substitute t=1

T(1)=\frac{}{2+1}=\frac{1}{3}

T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}

T'(1)=-\frac{4}{9}+\frac{1}{3}

T'(1)=\frac{1}{9}=

\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}

N(1)=\frac{T'(1)}{\mid T'(1)\mid}

N(1)=\frac{}{\frac{2}{3}}=

N(1)=

B(1)=T(1)\times N(1)

B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}

B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})

B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k

B(1)=\frac{1}{3}

5 0
3 years ago
Need help on geometry #3
Tresset [83]

Answer:

see explanation

Step-by-step explanation:

∠ PQS + ∠SQR = ∠ PQR , substitute values

13x + 4 + 10x - 1 = 141 , that is

23x + 3 = 141 (subtract 3 from both sides )

23x = 138 ( divide both sides by 23 )

x = 6

Thus

∠ PQS = 13x + 4 = 13(6) + 4 = 78 + 4 = 82°

∠ SQR = 10x - 1 = 10(6) - 1 = 60 - 1 = 59°

3 0
3 years ago
The ratio of three numbers is 4 : 5 : 3. The sum of the numbers is 54. List the numbers in ratio form.
klemol [59]

let it be x.

4x + 5x + 3x = 54

12x = 54

x = 54/12

x = 4.5

Now 4x = 4× 4.5

= 18

3x = 3 × 4.5

=13.5

5x = 5× 4.5 = 22.5

7 0
3 years ago
Read 2 more answers
A Salesperson receives 4% commission on sales. The salesperson receives $280 in commission what is amount of sales ?
Darya [45]

Answer:

$7,000

Step-by-step explanation:

280 ÷ 0.04 = 7000

7 0
3 years ago
The spinner has 8 different rewards and the gift card is 1/8
olga_2 [115]
The probability of winning the gift card in the first place is always 1/8 no matter how many people have spun the gift card.  That being said, by the same principal, the change of them both winning a gift card is 2/16 which reduces to 1/8.  So the probability stays the same no matter what. If there was a limited number of gift cards, the probability would change with each spin and each win.  But it didn't say the number of cards available changes, just that it stays 1/8.
7 0
4 years ago
Other questions:
  • If the common differences of an Ap is 5, the value of a18-a13 is
    12·1 answer
  • Question 1 of 10
    9·1 answer
  • Find the simplified form of the expression. Give your answer in scientific notation. (3x10^8)(9x10^7)
    6·1 answer
  • If a box measures 1.2m by 3.4m by 0.50m, what is its volume in liter
    12·2 answers
  • What are the coordinates of the x-intercept and y-intercept of the line -y-2x=4
    14·1 answer
  • The population of the city can be modeled by P equals one 25,000 E0.003 we’re tea is the number of years since 1990 what is the
    15·1 answer
  • There are 28 pens in a full box. how many pens are in 35 full boxes
    12·1 answer
  • A(3, 3), 60, 6) and co, 4),
    11·1 answer
  • Select all sets in which the number 0 is an element.
    7·1 answer
  • 5y+4x=10.51 8y+3x=10.39
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!