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
Liono4ka [1.6K]
1 year ago
10

Find the value of each variable.

Mathematics
1 answer:
Harrizon [31]1 year ago
8 0

Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

You might be interested in
You purchased 18.000 milliliters of juice. Juice costs $2 per liter. The cashier
Aleonysh [2.5K]

Answer:

cashier needed to divide by 1000, not 3.

Step-by-step explanation:

there are 1000ml in one liter. in order to find the amount of liters, youd have to divide the milliliters by 1000. its only after then that you can multiply by $2. answer would be $36

6 0
2 years ago
The answer to this question here in the photo cause I don’t know this
Lady bird [3.3K]

Answer:

19.

Step-by-step explanation:

PEMDAS.
3^2=9
5 x 2 + 9
10 + 9 = 19

5 0
2 years ago
#14 two cars start from the same point, at 11:05 am, traveling in opposite directions at 45 and 24 mph, respectively. At what ti
noname [10]

The cars travel at a 21MPH difference, so if we divide 460 by 21, we get 21.9


Answer: 21.9 hours

3 0
3 years ago
trong dân số một bà 70 tuổi có khả băng SLE là 2% .Nếu ANA dương tính thì khả năng bị bệnh SLE là bao nhiêu
Mamont248 [21]

Answer:

từ khoảng 70 đến 90 phần trăm

5 0
2 years ago
Which measurements are equivalent to 3 yards
timofeeve [1]

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

6 0
10 months ago
Other questions:
  • John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. Af
    9·1 answer
  • A food pantry distributes 10-ounce bags of flour. A supermarket donates nine 5-pound bags to the pantry. How many 10-ounce bags
    7·1 answer
  • Simpfly 8x + 7 – 2x – 4
    8·1 answer
  • What is the integer of 3 miles below sea level
    8·1 answer
  • A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; The
    13·1 answer
  • I really need this is answered please no links or files
    8·1 answer
  • Brian, Kelsy, and Geoff each have a remote-controlled car. they simultaneously started their cars and drove them in a straight l
    14·1 answer
  • (CHOOSE 1 CORRECT ANSWER, VERY IMPORTANT QUIZ!!)
    8·2 answers
  • A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?
    14·1 answer
  • Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!