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
shusha [124]
1 year ago
5

Someone help me with this question!

Mathematics
2 answers:
siniylev [52]1 year ago
8 0

\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

  • Angle BCA = 160°

\textsf{  \underline{\underline{Steps to solve the problem} }:}

By Exterior angle property :

\qquad❖ \:  \sf   \:4x - 114 + 5x - 182 = 5x - 100

\qquad❖ \:  \sf   \:9x -29 6 = 5x - 100

\qquad❖ \:  \sf   \:9x - 5x =  - 100 + 296

\qquad❖ \:  \sf   \:4x = 96

\qquad❖ \:  \sf   \:x = 24 \degree

Next, Angle BCA = 180° - Angle BCD

( linear pair )

[ let angle BCA = y ]

\qquad❖ \:  \sf   \:y = 180 - (5x- 100)

\qquad❖ \:  \sf   \:y = 180 - (5(24) - 100)

\qquad❖ \:  \sf   \:y = 180 - (120 - 100)

\qquad❖ \:  \sf   \:y = 180 - 20

\qquad❖ \:  \sf   \:y = 160 \degree

\qquad \large \sf {Conclusion}  :

  • Angle BCA = 160°
VMariaS [17]1 year ago
6 0

Answer: 160^{\circ}

Step-by-step explanation:

By the exterior angle theorem,

4x-14+5x-182=5x-100\\\\9x-196=5x-100\\\\4x=96\\\\x=24\\\\\implies m\angle BCD=20^{\circ}\\\\\implies m\angle BCA=160^{\circ}

You might be interested in
The Hansen brother made "m" amount of money
vladimir1956 [14]

m/4 "m" divided by 4

this is it

5 0
2 years ago
Please help I really need your help
Amanda [17]

Answer:

1.  1200 \ kg/m^3

2.

a)

35 cm = 0.35 meters

11 dm = 1.1 meters

15 mm = 0.015 meters

b)

Volume = 0.005775 cubic meters

Mass = 15.5925 kilograms

Step-by-step explanation:

1.

We know

Density = Mass/Volume

Given

Mass = 90 kg

Volume = 0.075 cubic meters

The SI unit for density is kilograms per cubic meters. Our dimensions are just that, so we just need to plug in the numbers into the formula and get our answer. Shown below:

Density = \frac{90}{0.075}=1200 \ kg/m^3

The Density of asphalt block = 1200 \ kg/m^3

2.

a)

We need to express 35cm, 11dm, and 15mm in meters

We know

100 cm = 1 meters, so

35 cm = 35/100 = 0.35 meters

We know 1 dm = 0.1 meters, so

11 dm * 0.1 = 1.1 meters

We know, 1mm = 0.001 meters, so

15 mm * 0.001 = 0.015 meters

b)

Volume of the Slab is length * width * height, in meters, that would be:

Volume = 0.35 * 1.1 * 0.015 = 0.005775 cubic meters

THe mass would be found by the formula:

Density = Mass/Volume

2700 = Mass/0.005775

Mass = 0.005775 * 2700 =  15.5925 kilograms

5 0
3 years ago
If Denise and Alex add a 15% tip after the tax is applied, what is the total cost, including tip?
Murljashka [212]
What’s the cost before the tip? We need to know that before calculating the cost with the tip.
4 0
2 years ago
Kim creates a model of a building. The scale of her model building is 1 foot to 8 inch. Some of the measurements are shown in th
Shalnov [3]

Answer:

Left

50 feet

Right

16 inches

10 inches

Step-by-step explanation:

Here, we want to make a conversion and fill in the empty spaces

The scale is 1 foot is 1/8 inch

To convert from foot to inch, we multiply by 1/8

To convert from inch to foot, we multiply by 8

Thus, we have ;

Let’s fill in the left spaces first;

6.25 * 8 = 50 feet

Right spaces, top to bottom;

128 * 1/8 = 16 inches

80 * 1/8 = 10 inches

7 0
3 years ago
5. Ken asked a friend to rent him a game and as a joke, the friend rented one that he didn't think
sergeinik [125]

Step-by-step explanation:

Equations:

Quantity:: d = n + 3

Value::: 10n + 5d = 615 cents

-------------------------------------------

Modify::

d - n = 3

d + 2n = 123

--------------------------------------------

Subtract and solve for "n"::

3n = 120

n = 40 (# of nickels)

d = n+3 = 43 (# of dimes)

5 0
3 years ago
Other questions:
  • Find the difference: 28y − 16y
    14·2 answers
  • Suppose you are climbing a hill whose shape is given by the equation z = 1400 − 0.005x2 − 0.01y2, where x, y, and z are measured
    14·1 answer
  • BRAINLIEST & 50 POINTS
    5·1 answer
  • Find the median of the following data set. 1 1/4, 5/8, 3/5, 1/2, 1 1/2, 1 3/4
    13·1 answer
  • What is the value of S in the equation 1/3s+14=26
    5·1 answer
  • Having trouble need help plz?!
    6·1 answer
  • Given two sets of parallel lines in the diagram below, what is the relationship between ∠ 9 and ∠ 3 ? image
    12·1 answer
  • Anyone help with this question please..
    12·2 answers
  • What fraction is equal to 3?
    8·1 answer
  • If there are 24 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!