Angle 1 and angle 2 are shown in the diagram below.
Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?
Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°
Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°
⊝
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°
Answers
Answer:
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
9/4x + 101.7 + 1 1/4x +25.8 = 180
Change the mixed number to an improper fraction
9/4x + 101.7 + 5/4x +25.8 = 180
Combine like terms
14/4x +127.5 = 180
Subtract 127.5 from each side
14/4x = 180-127.5
14/4x = 52.5
Multiply each side by 4/14 to isolate x
x =52.5 * 4/14
x = 15
Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45
Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55
Related Questions
Four students are painting a wall mural for their school.Each student paints 5/7 square yard of wall space.What is the total area of the wall mural that is being painted
A. 20/28
B. 2 6/7
C. 4 5/7
D. 5 3/5
(NEED IT PLEASE)
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Find the slope of this line
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What is the volume of the tank, in terms of PI?
Answers
Answer:
48[tex]\pi[/tex] cubic feet
Step-by-step explanation:
Have a good day :)
Tyler bought snacks for his team's practice. He bought a bag of oranges for $1.94 and a 24-pack of juice bottles. The total cost before tax was $43.22. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs?
Answers
He paid $1.94 for oranges and bought 24 pack juice bottle the total is $43.22.
Let x be the the amount for each bottle of juice.
24x + 1.94 = 43.22
24x = 43.22 - 1.94
24x = 41.28
24x/24 = 41.28/24
x = 1.72
Therefore each bottle of juice costs $1.72
The following set of coordinates represents which figure?
(7, 10), (4, 7), (6, 5), (9, 8)
Answers
Answer:
yufglufgkhjtshjskjhlesglezgzeghllghjr4aeklbxjhihGHIUYGUYG
Step-by-step explanation:
L=4 w=5 h=3
Surf. Area = ?
Answers
Answer:
im assuming this is a rectangular prism since no specific shape was provided. the answer is 94 square units. if this is correct plz mark brainliest :)
Step-by-step explanation:
C
y
0
5
1
1
20
2
80
3 320
Answers
Answer:
yes
Step-by-step explanation:
A company wants to compare two washing detergents (Brands A and B) to see which best keeps colors from fading. Twenty new, identical red t-shirts will be used in the trials. Ten t-shirts are washed 15 times with Brand A in warm water. The other 10 t-shirts are washed with Brand B in cold water. The amount of fading is rated on a 0 to 100 scale, and the mean for the t-shirts washed in Brand A is compared to the mean for the others. Is this a good experimental design
Answers
Answer:
No, because water temperature is confounded with brand of detergent.
Step-by-step explanation:
There is a very possible chance of allowing a third or confounding variable to have creepwd into the research. The aim was to investigate which of two detergents prevents color from fading. Hence, the test for both detergents should be carried out under the same research condition. However, with adoption of different water temperature for each of detergent A and B, there may be a relationship between fading and water temperature which is not what are trying to investigate. This difference in temperature will thus cause a spurious relationship in our research. Hence, water temperature has been confounded with detergent brand, making this experimental design a bad one.
Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for working xx hours.
Answers
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5}
Answers
Answer:
Option A: {-2, 3, 1, 5}
Step-by-step explanation:
A function is a relationship that maps elements from one set (the domain, set of the inputs, the independent variables) into elements from another set (the range, set of the outputs, the dependent variables ).
Such that the standard notation is (x, y)
This says that the function/relation maps the element x into the element y.
So here the independent variable is x.
Now, in a relation:
{ (x₁, y₁), (x₂, y₂), ..., (xₙ, yₙ)}
The independent variable is represented with the set:
{x₁, x₂, ..., xₙ}
then, in the relation:
(–2, 4), (3, –2), (1, 0), (5, 5)
The set that represents the independent variable is a set with the first elements from each one of these four points:
{-2, 3, 1, 5}
The correct option is A.
Help and anyone that helps I’ll kiss you on the lips
Answers
find the exact value given that sin A= -4/5 with A in quadrant IV, tan B=7/24 with b in quadrant III, ; cos C= -5/13 with c in quadrant II
Answers
Answer:
A= 306,87°
B= 196,26°
C= 112,62
Step-by-step explanation:
sinA =-4/5
A = -53,24°
A = 306,87°
tan B = 7/24
B = 16,26°
B = 196,26°
cos C = -5/13
C = 112,62°
a candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches, what is the volume of the candle
Answers
Answer:
141.37167in³
Step-by-step explanation:
V=
π
d
2
2
h
=
π
6
2
2
5
≈
141.37167in³
Answer:
exact: V = 45pi in.^3
approximate: V = 141.4 in.^3
Step-by-step explanation:
V = (pi)r^2h
r = d/2 = 6 in./2 = 3 in.
V = (pi) * (3 in.)^2 * 5 in.
V = 45pi in.^3
V = 141.4 in.^3
HELP
find the length of the diagonals of rectangle QRST
Answers
Answer:
11:
since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answers
Answer:
r = 105
Step-by-step explanation:
Given quadratic equation:
x² − 9x − 6
Quadratic formula is given by:
(-b ± √b² - 4ac) ÷ 2a
For the equation: x² - 9x - 6
a = 1, b = -9 and c = -6
Substitute in the quadratic formula:
(-b ± √b² - 4ac) ÷ 2a
(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1
= 9 ± √105 / 2
The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2
Therefore, the value of r is 105
Bonjour, pouvez-vous m'aider s'il vous plaît.
Un grand père de 70ans a réuni ses 5 petits enfants.
Adélaïde est la plus jeune. Viennent ensuite les jumeaux Alain et Alex qui ont 4ans de plus. Coralie a deux ans de plus que les jumeaux et Dorothée a 7ans de plus qu'Adélaïde.
Le grand père remarque: "C'est amusant, à vous tous, vous avez le même âge que moi.".
Quel est l'âge d'Adélaïde ? (Utilisez une question).
Merci de votre compréhension.
Answers
Qu'est-ce que cela a à voir avec quoi que ce soit?
Given the conversion factor 12/1 in over 1ft, which cube has the larger surface area?
Answers
Answer:
Solid A
Step-by-step explanation:
3 feet is 3 x 12 = 36 inches, which is less than 48 inches, so solid A has a larger surface area than solid B.
What is the Value of the expression 3 (2x - 4) when x = -3?
Answers
Answer:
-30
Step-by-step explanation:
3 (2(-3) - 4)
= 3(-6 - 4)
= 3(-10)
= -30
Answer:
1 Let x=1x=1.
2\times 1\times 4=8
2×1×4=8
2 Simplify 2\times 12×1 to 22.
2\times 4=8
2×4=8
3 Simplify 2\times 42×4 to 88.
8=8
8=8
Step-by-step explanation:
What is the Value of the expression 3 (2x - 4) when x = -3?
2 Divide both sides by 88.
x=1
if f(x)=35x+25
and g(x)=22x+18
find 5f(4)+2g(10)
Answers
Answer:
1301
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 35x + 25
g(x) = 22x + 18
f(4) is x = 4 for function f(x)
g(10) is x = 10 for function g(x)
Step 2: Find Function Values
f(4)
Substitute in x [Function f(x)]: f(4) = 35(4) + 25Multiply: f(4) = 140 + 25Add: 165g(10)
Substitute in x [Function g(x)]: g(10) = 22(10) + 18Multiply: g(10) = 220 + 18Add: g(10) = 238Step 3: Evaluate
Substitute in function values: 5(165) + 2(238)Multiply: 825 + 476Add: 1301Which equation is equivalent to -4(y-2)=12?
1. -4(y-2)=3
2. -4(y-2)=-3
3. y-2=12
4. y-2=3
5. y-2=-3
Please I’ll mark you brainliest if you answer
Answers
Answer:
–4(y–2)=12
y–2=12/–4
y–2=–3
The choose (5)
Answer question b and c
Question b: find the value of x
Question c: find the value of y
Answers
sin60 = y/25
y = sin60(25)
y = 21.6
y ≈ 22
pls tell me the answer . I am only having 10 minutes
no links
if we subtract the didgit of a two digit number, we get 4. if we interchange the digits of the number and subtract the new number from the original number we get 44. What is the original number
Answers
Answer:
Assume that the two digits are x and y (x is at ones position and y is at tens position)
if we subtract the digit of a two digit number, we get 4.
this means,
x-y=4 ..................... (1)
if we interchange the digits of the number and subtract the new number from the original number we get 44.
this means,
old no. 10y+x
new no. 10x+y
10y+x-(10x+y)=44
10y+x-10x-y=44
9y-9x=44 ........................... (2)
solve the two equations:
id these two equations are solved, we get no solution.
meaning, such a number with these given conditions do not exist
Step-by-step explanation:
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use '<="for < or ">" for >.
(-3,0)
X
5
(0, -3)
-5
Answers
Given:
The graph of an inequality.
To find:
The inequality in slope intercept form.
Solution:
The slope intercept form is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]
[tex]y=\dfrac{-3}{3}(x+3)[/tex]
[tex]y=-1(x+3)[/tex]
[tex]y=-x-3[/tex]
From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".
[tex]y\geq -x-3[/tex]
Therefore, the required inequality is [tex]y\geq -x-3[/tex].
Given f(x) = 3 and g(x) = cos(x). What is Limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi?
Answers
Answer:
C
cos pie= -1
so (3-(-1)=3+1=4
Step-by-step explanation:
Is 5.585786438 rational or irrational
Answers
From what I have learnt:
The number has an ending so it is rational
Irrational numbers don't end, e.g. π (3.1415926...)
What is the approximate volume of the cylinder?
Use 3.14 for r.
8cm 6cm
226.08 cm3
150.72 cm3
904.32 cm3
301.44 cm
Answers
Step-by-step explanation:
[tex](3.14){(6)}^{2} (8) \\ (3.14)(36)(8) \\ 288(3.14) \\ 904.32 {cm}^{3} [/tex]
Answer:
904.32
Step-by-step explanation:
i ready
PLEASE HELP I’ll give you a 5 star!!!
Match each expression in the top row with an equivalent expression in the bottom row.
Answers
Answer:
maam i cant see the row of numbers lol
Step-by-step explanation:
A town has a population of 2000 and grows at 4% every year.
What would the exponential function be if you were trying to predict what the
town's population would be after 12 years?
A 2000(04)12
B 2000(0.4)12
C 2000(1.04)12 D 0.04(2000)12
Answers
Answer:
[tex] \frac{4}{?100} \times \frac{2000}{1?} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ \\ 2080 \times 12 = 24960[/tex]
please help meeeeeeeee
Answers
Answer:
Point D is at 3 this is the only correct point...
Step-by-step explanation:
Reason being is because before 0 it’s negatives and after is positives
what type of angles are <5 and <16