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
irinina [24]
3 years ago
9

If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

108 + ∠WOX = 180

∠WOX + ∠XOY = 90

∠WOX + 3x = 90

∠WOX  = 90 -3x

Replace WOX in the first equation

108 + ∠WOX = 180

108 + 90 -3x = 180

Combine like terms

198 -3x = 180

Subtract 198 from each side

-3x = 180-198

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

∠XOY  = 3x = 3*6 = 18

You might be interested in
it takes 4 cups of suger to bake a cake and 2 cups of suger to make a tray of cookies. Mary has a total of 15 cups of sugar to b
Stolb23 [73]
She can make two cakes and 3 trays of cookies 
7 0
3 years ago
Suppose that y varies inversely as x, and x=9 when y=15. Find the value for k and write the function. Group of answer choices La
Radda [10]

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition that x = 9 when y = 15

15 = \frac{k}{9} ( multiply both sides by 9 )

k = 135

y = \frac{135}{x} ← equation of variation

8 0
3 years ago
29 is what percent of 20?
Vanyuwa [196]
29 percent = 29/100
So 29/100 x 20
= 5.8
4 0
2 years ago
Could someone help me with this?
natulia [17]
Distributive property was the first property used in STEP 1, where -4 was distributed to -3x+ 2 resulting in the equation in STEP 1. Next in STEP 2, commutative property of addition no matter how 12x and 6x are arranged, when you add them together the result will be the same. 
*Take note that 12x and 6x are put together because they are like terms. 

For Steps 3 and 4, you will see that the addition property of equality was used in STEP 3. To keep the equation equal, you will add the same number on both sides.

STEP 4 uses Division property of Equality. Like Step 3, to keep both sides of the equation equal, you must divide both sides with the same number. It keeps the statement true by doing so. 

STEP 4 and 5 uses transitive property if you examine both as a whole. 
Transitive property assumes that if a = b and b = c, then a = c

If   18/18 (a) = 1 (b),  and x (c) = 18/18(a)  then, x (c) = 1 (b). 
5 0
3 years ago
Before calculators were around, why was it's advantageous to use logarithms to calculate roots
neonofarm [45]
Because logarithms were a lot less time-consuming than other methods of finding roots. They were also more accurate in the sense that it was harder to make a mistake.
4 0
3 years ago
Other questions:
  • Store Pineapple Unit Prices Nani needs to buy 8 cups of fresh pineapple for a fruit cocktail. The table shows the unit prices (p
    14·2 answers
  • 8. Parallel to the line y = 2x + 5 and contains the
    11·1 answer
  • A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.
    8·2 answers
  • How do I get a common denominator
    7·1 answer
  • A concert starts at 7:00 p.M. The chorus performs for 30 minutes. There is a 15-minute break and then the band performs for 30 m
    5·1 answer
  • Help fast please In AGHI, GH || JK. Given that IJ= 20, GH=42, and JK = 24, find IG.
    12·1 answer
  • Can somebody help me make a word problem of a inequality equation pls
    5·1 answer
  • When Sarah turned 18, she took $500 from her savings and opened a
    15·1 answer
  • -2/5x - 1/2 + x = -40/11
    5·1 answer
  • The radius of the circle below is 22 mm. Calculate the area of the circle. Give your answer in mm² to 1 d.p.​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!