FINDING UNKNOWN ANGLE MEASURES-SUPPLEMENTARY ANGLES--#5
Please help with all of them!
Answers
Answer:
See the first 3 problems solved below.
I added the next 3 problems.
Step-by-step explanation:
1.
2x + 4x = 180
6x = 180
x = 30
2x = 2(30) = 60
4x = 4(30) = 120
2.
3x + 6x = 180
9x = 180
x = 20
3x = 3(20) = 60
6x = 6(20) = 120
3.
8x + 10x = 180
18x = 180
x = 10
8x = 8(10) = 80
10x = 10(10) = 100
4.
7x + 8x = 180
15x = 180
x = 12
7x = 7(12) = 84
8x = 8(12) = 96
5.
2x + x = 180
3x = 180
x = 60
2x = 120
6.
2x + 2x = 180
4x = 180
x = 45
2x = 2(45) = 90
The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angles ∠GFH = x and ∠CBD = 2x.
From the figure, the angles ∠GFH and ∠CBD are supplementary angles.
∠GFH + ∠CBD = 180°
x + 2x = 180°
3x = 180°
x = 60°
Then the measure of the angles ∠GFH and ∠CBD will be
∠GFH = 60°
∠CBD = 2 × 60°
∠CBD = 120°
The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.
More about the angled link is given below.
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Related Questions
Bella and Justin went to the bank to open new checking accounts. The equation C=0.1n+1.50 represents the monthly cost, C, in dollars, where n is the number of checks written by Bella. In Justin’s account, the monthly cost is proportional to the number of checks written. The monthly cost for Justin’s account is $1.20 for writing 3 checks. How many checks must Bella and Justin write, if any, so that the cost of the accounts is the same for one month? What is the cost, if any?
If Bella and Justin write
checks, it will cost them both $
for one month.
Answers
The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation for Bella:
c = 0.1n + 150
Where C is the monthly cost for n checks.
For Justin:
1.2 = 3k
k = 0.4
C = 0.4n
To have the same cost:
0.1n + 150 = 0.4n
n = 500
c = 0.4(500) = 200
The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.
Find out more on equation at: https://brainly.com/question/2972832
Which of the following are among the basic postulates of Euclidean Geometry?
A) Any straight line segment can be extended indefinitely.
B) All right triangles are equal.
C) A straight line segment can be drawn between any two points.
D) All right angles are equal.
Answers
Any straight line segment can be extended indefinitely and straight line segment can be drawn between any two points can apply. Therefore, options A and D are the correct answers.
What is Euclidean geometry?"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"
As per the five basic postulates of Euclidean geometry
A straight line can be drawn from any point to another point.
A terminated line can be further produced indefinitely.
A circle can be drawn with any Centre and any radius.
All right angles are equal to one another.
If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.
Therefore, options A and D are the correct answers.
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A class of 24 students visited a science museum. Each student paid the
museum’s admission fee and $6 for lunch at the museum. The class spent
a total of $336. What was the admission fee that each student paid?
Answers
Answer:$14
$336/24
$14
Step-by-step explanation:
What is the circumference of 7 in?
Answers
Answer:
If Its 7 in diameter than the answer is 21.98 if it is radius than it is 153.86
Step-by-step explanation:
Answer:
Solution:
Radius of a circle = 7 in
We know that
Circumference of a circle = 2πrSubstituting the values
= 2 × π × 7
= 14π
= 43.9823 ≈ 43.98 in
Therefore, the circumference of a circle is 43.98 in.
please help with this question find the outlier!!
Answers
Answer:
the outlier would be 36 oz
Step-by-step explanation:
the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)
hope this helps :)
5y(4-2y+y)-4y
Need help ASAP
Answers
Answer:
The answer above is correct, I got it wrong originally! Sorry for wasting this spot! ^w^
Step-by-step explanation:
SOMEONE PLSS HELP WITH MY ZEARN ITS 5TH GRADE MATH BTW! can be decimal or mixed number!!
Answers
Answer:
[tex]64 \frac{1 3}{21} ft {}^{2} [/tex]
Step-by-step explanation:
Area of the garden:
[tex](8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)[/tex]
to find the area you multiply the length by the width.
so 8 3/7 * 7 2/3
you just multiply both. so you get 64 13/21 or 64.619
Analyze: What is the the number of periods of the following atoms
Answers
Answer:
2; 3; 4.
Step-by-step explanation:
Li - 2 (two circles); Na - 3 (three circles); K - 4 (four circles).
Which type of local wind is shown below and what causes this type of wind?
Question 23 options:
At night, cooler air over land replaces rising warmer air over water causing a land breeze.
At night cooler air over water replaces rising warmer air over land causing a land breeze.
During the day, cooler air over land forces warmer air over water to rise causing a sea breeze.
Answers
Answer:
A
Step-by-step explanation:
because me smart
What is the hydronium ion concentration in a solution of hcl that has a ph of 4.65? round to the nearest hundredth. × 10n m n = what is the hydroxide ion concentration in a solution of nh3 with a poh of 4.65? round to the nearest hundredth. × 10n m n =
Answers
The hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
What is pH value?The pH scale, which originally stood for "potential of hydrogen," is used to describe the acidity or basicity of aqueous solutions. The pH of acidic solutions is lower than that of basic or alkaline solutions.
Hydronium ions concentration of the solution with a pH value of 4.65.
[tex]pH = -\rm log[H_3O^+]\\\\4.65 = -log[H_3O^+]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[H_3O^+]\\[/tex]
[tex][H_3O^+] = 2.2387 \times 10^{-5} M[/tex]
Now, we know that the Hydroxide ions concentration of the solution with pOH value of 4.65. Therefore,
[tex]pOH = -\rm log[OH^-]\\\\4.65 = -log[OH^-]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[OH^-][/tex]
[tex][OH^-]=2.2387 \times 10^{-5}\ M[/tex]
Hence, the hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
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Answer:
first one is 2.24 then -5
2nd one is 2.24 then -5
i just did it
A cube has an edge length of 3 inches.
a) Find the surface area and volume of the cube.
b) The cube is dilated by a scale factor of 0.5.
Find the surface area and volume of the image.
PLEASE HELP THIS IS DUE TOMORROW!!!
Answers
Answer:
Question (a)
Surface area of a cube = [tex]6x^2[/tex] (where [tex]x[/tex] is an edge length)
⇒ surface area = 6 × 3²
= 6 × 3 × 3
= 6 × 9
= 54 in²
Volume of a cube = [tex]x^3[/tex] (where [tex]x[/tex] is an edge length)
⇒ volume = 3³
= 3 × 3 × 3
= 27 in³
Question (b)
To find the area of a dilated figure, simply multiply the original area by the scale factor squared:
Surface area = [tex]6x^2[/tex] × sf²
= 54 × 0.5²
= 13.5 in²
To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:
Surface area = [tex]x^3[/tex] × sf³
= 27 × 0.5³
= 3.375 in³
What is the area of this composite figure?
Answers
Answer: B: 7.14 in²
Step-by-step explanation:
Area of the square: 2x2 = 4in²
Area of the circle: πr² = 3.14 x 1² = 3.14
add them both to get the composite area:
4 + 3.14 = 7.14 in²
Solve for x to the nearest tenth.
Answers
Answer: the answer to your question is 8.0
Step-by-step explanation:
Sin theta = opposite /hypotenuse sin 53 = x/10
Multiply each side by 10
10 sin 53 = x
7.9863551
To the nearest tenth
x = 8.0
Select the correct solutions for the system of equations:
10x + y = -20
y = 2x^2 - 4x - 1
[] (-2, 0)
[] (-1, 0)
[] (0, -2)
[] (0, -1)
[] (-2, 10)
[] (-1, -10)
[] (10, -1)
[] (10, -2)
Answers
Answer:
The answer are
(-2,0)
(-1,-10)
(0,-1)
Step-by-step explanation:
I believe these are all the right answers
Hope this helps and mark brainliest please :)
HELPPPPPOOOPP PLEASEEE
Answers
Answer:
122
Step-by-step explanation:
Rectangle: 6*15=90
Inner Trapezoid: 6*4=24
Triangles: 4*2=8/2=4*2=8
An angle measures 64° less than the measure of its supplementary angle what is the measure of each angle
Answers
Given :
An angle which measures less 64° the measure of its supplementary angle.⠀
To Find :
The measure of its supplementary angle.⠀
Solution :
Let's assume the one of the supplementary angle as x and the other angle as (x - 64)° .Now,
⠀
According to the Question :
[tex]\longrightarrow\qquad \sf{{x
+ (x - 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x + x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} + 64 {}^{ \circ}}}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {244}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x = \dfrac{{244}^{ \circ}}{2} }}[/tex]
[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {122}^{ \circ} }}}[/tex]
⠀
Therefore,
One angle = 122°Other angle = 122° – 64° = 58°⠀
⠀
Henceforth ,
The measure of the two angles are 122° and 58° .Daina gives 2/3 of his money to Carol. Carol gives 6/7 of this money to Zak.
What fraction of Daina's money does Zak get?
Answers
Answer: I think he gets 1/2 of something
Step-by-step explanation:
Which expression is equivalent to 5/6−1/4+(−2/3)
Answers
Answer:
the last one
Step-by-step explanation:
expand and simplify x(x-4)(x-1)
Answers
Answer:
Step-by-step explanation:
x(x-4)= x^2-4x
x^2-4x(x-1)
x^3-5x^2+4x
The height of a rocket t seconds after launch is modeled by the function: f(t)=-16t^2+72t.
What is the maximum height of the rocket in feet?
Answers
Step-by-step explanation:
the extreme values of a function happen at the zeros of the first derivation of that function.
f(t) = -16t² + 72t
f'(t) = -2×16t + 72 = -32t + 72
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
f(2.25) = -16(2.25)² + 72×2.25 = -16×5.0625 + 72×2.25 =
= -81 + 162 = 81 ft
so, the rocket reaches its maximum height of 81 ft after 2.25 seconds of flight.
Find the nth term of the sequence
below:
2,6,10,...
What is the 10th term in the
sequence? If 89 in the sequence?
Answers
The quadratic parent function f was transformed to create g(x)=4f(x)which description best represents g?
Answers
Answer: the second one because its a virdacal reflection
Step-by-step explanation: it’s sideways all you have to do is find the equation
eric sells donuts for $7 per dozen. which equation can be used to determine the total cost, t, for x dozen of donuts?
Answers
Answer:
7 times x = t
Step-by-step explanation:
if your buying 3 dozen of donuts, the total cost would be by doing 7x3
Solution:
It should be noted:
Given sentence: Eric sells donuts for $7 per dozen.Let's reread the sentence carefully.
Eric sells donuts for $7 per dozen.
↥ ↥
$7 1 dozen
The equation created: $7 = 1 dozen
If x dozen doughnuts were sold, equation: $7x = t = x dozen
Thus, the equation that can determine the total cost, t, for x dozen of donuts is $7x = t.
In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.
How many blue cards are in the game?
Answers
Answer:
63 yellow cards
Step-by-step explanation:
84 divided by 4 is 21, and 21 times 3 is 63.
.48 divided 9.28 round to the nearest tenth
Answers
You get a long decimal (5.17241379) but to the nearest tenth it’s 5.2
Kristen is paid $8.25 per hour. how much would her paycheck be for 39 hours? show your work.
Answers
Answer:
$321.71
Step-by-step explanation:
To do this problem, we have to multiply 8.25 by 39 because Kristen gets paid $8.25 per hour, and she worked for 39 hours. Here is my work below:
[tex]8.25 X 39=321.71[/tex]
So, Kristen gets paid $321.71 for working 39 hours.
Hope this helps! :)
Have a blessed day! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
I need to do this it due tommorow
Answers
Answer:
14
Step-by-step explanation:
when you add all the numbers together you get 14, also where you put the line you can see that the line is a 3 and 5 minus 2 is 3. The next corner next to the 3 is 1 cm because if you look at the horizontal 2 it matches up with the horizontal 1 and 2 minus 1 is 1.
Determine the value of x that makes each equation true.
Equation
Value
- 3x = 6.3
1/8 = -12
-1.2x = -30
12
= -0.3
Answers
Answer:
1. -2/1
2. -1.5
3. 25
4. -0.025
Step-by-step explanation:
divide by the coefficient on both sides of then equation.
HELPPPPP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER (see attachment)
Answers
Step-by-step explanation:
(b) since a negative number added to a positive one it will be positive
Answer:
2x² + 5x - 12
steps:
→ (x+4)(2x-3)
By distributive method:
→ (x)(2x) +4(2x) +x(-3) +4(-3)
simplifying:
→ 2x² + 8x - 3x - 12
final answer:
→ 2x² + 5x - 12
pls help fast. i need it fast. pls
Answers
Answer: Part A C x G = X
Part B it represents the cost
Step-by-step explanation: