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
Likurg_2 [28]
3 years ago
10

Find the measures of the supplementary angles of their measures are in ratio of 22:23

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

  Measures of the supplementary angles = 88° and 92°

Explanation:

 Two angles that add to 180 degrees is called as supplementary angles.

  Angles are in the ration 22:23

  So, we have

               22a + 23a = 180

               45 a = 180

                    a = 4

      Angles are 22 x 4 = 88 ° and 23 x 4 = 92°

  Measures of the supplementary angles = 88° and 92°

You might be interested in
A physician orders 0.5oz of magnesia and alumina oral suspension antacid 4 times per day for a client with indigestion.how many
Brut [27]
1 fl oz. is equivalent to 29.6 ml.
0.5 * 4 * 29.6 = 59.2 ml
3 0
3 years ago
Pls help middle school math
uranmaximum [27]

Given ,

5<x<10 and 8<y<19

For y-x,

8-5<y-x<19-10

3<y-x<9

8 0
3 years ago
What is the y-intercept of a line that has a slope of 1/4, and passes through point (8, 3)?
Valentin [98]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
nydimaria [60]

Answer:

x² + y² + 4x - 2y + 1 = 0

Step-by-step explanation:

The equation of a circle is given by the general equation;

(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius.

In this case; the center is (-2,1)

We can get radius using the formula for magnitude; √((x2-x1)² + (y2-y1)²)

Radius = √((-4- (-2))² + (1-1)²)

             = 2

Therefore;

The equation of the circle will be;

(x+2)² + (y-1)² = 2²

(x+2)² + (y-1)² = 4

Expanding the equation;

x² + 4x + 4 + y² -2y + 1 = 4 subtracting 4 from both sides;

x² + 4x + y² - 2y + 4 + 1 -4 = 0

= x² + y² + 4x - 2y + 1 = 0

4 0
3 years ago
Read 2 more answers
Match the circle equations in general form with their corresponding equations in standard form. Not all will be used. 
Xelga [282]
<span>The standard form of the equation of a circumference is given by the following expression:

</span>(x-h)^{2}+(y-k)^{2}=r^{2} \\ \\ where \ (h, k) \ is \ the \ center \ of \ the \ circumference \ and \ r \ the \ radius
<span>
On the other hand, the general form is given as follows:

</span>x^{2}+y^{2}+Dx+Ey+F=0 \\ \\ where: \\ D=-2h, \ E=-2k, \ F=h^{2}+k^{2}-r^{2}<span>

In this way, we can order the mentioned equations as follows:

Equations in Standard Form:

</span>\bold{a)} \ (x-6)^{2}+(y-4)^{2}=56 \\ \bold{b)} \ (x-2)^{2} + (y+6)^{2}=60 \\ \bold{c)} \ (x+2)^{2}+(y+3)^{2}=18 \\ \bold{d)} \ (x+1)^{2}+(y-6)^{2}=46

Equations in General Form:

\bold{1)} \ x^{2}+y^{2}-4x+12y-20=0 \\ \bold{2)} \ x^{2}+y^{2}+6x-8y-10=0 \\ \bold{3)} \ 3x^{2}+3y^{2}+12x+18y-15=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 3, \ the \ equation \ becomes: \\ x^{2}+y^{2}+4x+6y-5=0 \\ \\ \bold{4)} \ 5x^{2}+5y^{2}-10x+20y-30=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 5, \ the \ equation \ becomes: \\ x^{2}+y^{2}-2x+4y-6=0 \\ \\ \bold{5)} \ 2x^{2}+2y^{2}-24x-16y-8=0 \\ \\ If \ we \ divide \ this \ equation \ by \ 2, \ the \ equation \ becomes: \\ x^{2}+y^{2}-12x-8y-4=0

\bold{6)} \ x^{2}+y^{2}+2x-12y

So let's match each equation:

\bold{From \ a)} \\ \\ (h,k)=(6,4),\ r=2\sqrt{14} \\ D=-12, \ E=-8 \\ F=-4

Then, its general form is:

x^{2}+y^{2}-12x-8y-4=0

<em><u>First. a) matches 5) </u></em>

\bold{From \ b)} \\ \\ (h,k)=(2,-6),\ r=2\sqrt{15} \\ D=-4, \ E=12 \\ F=-20

Then, its general form is:

x^{2}+y^{2}-4x+12y-20=0

<em><u>Second. b) matches 1) </u></em>

\bold{From \ c)} \\ \\ (h,k)=(-2,-3),\ r=3\sqrt{2} \\ D=4, \ E=6 \\ F=-5

Then, its general form is:

x^{2}+y^{2}+4x+6y-5=0

<em><u>Third. c) matches 3)</u></em>

\bold{From \ d)} \\ \\ (h,k)=(-1,6),\ r=\sqrt{46} \\ D=2, \ E=-12, \ F=-9

Then, its general form is: x^{2}+y^{2}+2x-12y-9=0

<em><u>Fourth. d) matches 6)</u></em>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Benny opened a bank account. He deposited $92.50 into his account every month for 10 months. He used $36.50 every month to pay f
    5·1 answer
  • Luis purchased a laptop computer that was marked down by 25 of the original price. What fractional part of the original price di
    15·2 answers
  • Compare he values of theunderlined digitsthe value of 3 in 6,300 is -----times the value of 3 in ------
    7·1 answer
  • Solve for z in the problem below:
    5·2 answers
  • You need at least $715 to go on a trip to Arizona. You have already saved $350. You decide to save an additional $85 per week. W
    13·1 answer
  • F f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f + g)(x).
    9·1 answer
  • In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
    10·1 answer
  • Why does (-5) (-5) (-5) have a negative product?
    6·1 answer
  • 10x100000ihavecrownbranlycrown
    13·2 answers
  • Write a system of equations to describe the situation below, solve using any method, and fill
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!