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
Leto [7]
1 year ago
11

Find the m of

Mathematics
1 answer:
zzz [600]1 year ago
6 0

          Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.

[23] ABD = 42°, DBC = 35°

(4x - 2) + (3x + 2) = 77°

4x+ 3x + 2 - 2  = 77°

4x+ 3x= 77°

7x= 77°

x= 11°

-

ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°

DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°

[24] ABD = 62°, DBC = 78°

(4x - 8) + (4x + 8) = 140°

4x + 4x + 8 - 8 = 140°

4x + 4x = 140°

8x = 140°

8x = 140°

x = 17.5°

-

ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°

DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°

You might be interested in
A Venn diagram is shown below:
mina [271]
(A ∩ B) means "A intersection B". Your problem statement tells you the intersection contains
  {3, 4}
6 0
3 years ago
Read 2 more answers
Solve one of the two problems for x. The answers for both are the same. You are more than welcome to do both to check your answe
Fed [463]

Answer:

x = 49

Step-by-step explanation:

Let's solve for x in the first triangle by applying the leg rule.

Leg rule is given as: hypotenuse/leg = leg/part

Hypotenuse = x

Leg = 28

Part = 16

Plug in the values into the equation

x/28 = 28/16

Cross multiply

x*16 = 28*28

16x = 784

x = 784/16

x = 49

✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.

Hypotenuse = x

Leg = 21

Part = 9

Thus:

x/21 = 21/9

Cross multiply

x*9 = 21*21

9x = 441

x = 441/9

x = 49

✔️We have the same value. Therefore, x = 49 is the correct answer.

6 0
2 years ago
On Saturday, the shop had a sale.
devlian [24]

Answer:

3 + 549=546

546-2=544

Step-by-step explanation:

7 0
3 years ago
Could someone please help me
kakasveta [241]
The formula for a cone is
v = \pi \times  {r}^{2}  \times ( \frac{h}{3} )
insert 20 for your height and rearrange the formula to find the radius. Leave a comment if you need more help.
6 0
3 years ago
A counselor charges a client $110 for 4 hours of therapy. how much does the counselor earn per hour
Allisa [31]
$27.5 per hour .......
3 0
3 years ago
Other questions:
  • The diameter of a circle is 4 meters. What is the circle's circumference?
    12·1 answer
  • Vectors...<br><br> Let u = &lt;-3, -5&gt;, v = &lt;-3, 1&gt;. Find u + v.
    7·1 answer
  • Determine the x- and y-intercepts of the linear equation. Type a numerical answer in the space provided. Type the x-intercept fi
    6·1 answer
  • What is the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths?
    10·1 answer
  • Select all the expressions that are equal to the product of 18 and 6.
    10·1 answer
  • Could I have a step by step
    9·1 answer
  • First step to solve this equation 5k+6=-9
    15·2 answers
  • Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!
    7·1 answer
  • -5 (x-1)-x+1 = -18 help please​
    5·1 answer
  • A car costing $24,000 is subject to a sales tax of 8%. If Bindu made a $10,000 down payment on his car, what is the tot amount s
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!