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
13 liter is approximately how many gallons rounded to the nearest tenth
andrey2020 [161]
A liter is 0.264 gallons so 13 * 0.264 = 3.432 and round it up it is 3.4
5 0
2 years ago
Read 2 more answers
Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow
Orlov [11]

Answer: A=944\ ft^2

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

A=(\frac{M+m}{2})h

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft

Knowing these values, you can substitute them into the formula:

A=(\frac{36\ ft+23\ ft}{2})(32\ ft)

Finally, you must evaluate in order to find its area. This is:

A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2

7 0
3 years ago
Make a equation with a slope of 2 and a y-intercept of -1
Nesterboy [21]

Answer:

y=2x-1

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

4 0
2 years ago
Read 2 more answers
Deshawn paid $9.20 for coffee and left a $2.30 tip.If he the same rate later today while out at dinner,how much will his tip be
xenn [34]
Around 4.50 would be the tip
8 0
3 years ago
In two or more complete sentences, define the key features of the graph below and explain how to write its equation using functi
Korolek [52]
The graph has a vertex at (3, -2). It extends upward from there linearly at a slope of -1 to the left and 1 to the right. It is the graph of an absolute value function. If we assume it keeps extending upwards the domain is all real numbers. (which is what i would assume even though there's no arrows it doesn't have decipherable endpoints). The range is y ≥ -2 with y -intercept (0,1), and x-intercepts: (5,0) & (1,0).

To write the equation for this function, I would acknowledge that it is the translation of the graph of the standard absolute value function: f(x) = |x| ; right 3 and down 2. Which would be to subtract 3 from x and subtract 2 from the end.
 f(x) = |x - 3| - 2 
5 0
3 years ago
Other questions:
  • Find the area of the regular polygon.<br> Round to the nearest tenth.
    10·1 answer
  • Which of the following is the inverse of y= 6^x
    14·1 answer
  • Find measure of angle labeled X
    9·2 answers
  • What are the odds of picking an "a" in the word Georgia?
    15·2 answers
  • Find the ninth term of this sequence 1 3 5 7 9
    8·2 answers
  • Find the measure of each acute angle.
    13·2 answers
  • An apple is cut into 6 equal slices. Nancy eats 2 of the slices. What fraction of the apple is left? ​
    8·2 answers
  • Harold’s balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 years, th
    6·1 answer
  • FREEEEEEEE POINTSSSSS!!!!!!!! :):):):):):):):)
    10·2 answers
  • A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to fi
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!