Let ∠1 be x
Let ∠2 be x+84
ATQ,[tex]\rm\:x+x+84= 180 \degree[/tex]
[tex] \rm \: 2x + 84 = 180[/tex]
[tex] \rm \: 2x = 180 - 84[/tex]
[tex] \rm \: 2x = 96[/tex]
[tex]\boxed{ \bf \: x=48 \degree}[/tex]
So,[tex]\begin{gathered} \sf \: ∠1 = x \\ \sf \: = 48 \degree\end{gathered}[/tex]
[tex]\begin{gathered} \sf \: ∠2 = x+84 \\ \sf = \: 48+84 \\ \sf∠2 = 132 \degree\end{gathered}[/tex]
Remember that: Supplementary angles sums upto 180°Complementary angles sums upto 90°Answer:
48°
132°
Step-by-step explanation:
Let the measure of one angle be x°
So, Measure of supplementary angle = (x + 84)°
x° +(x +84)° = 180°
(2x + 84)° = 180°
2x + 84 = 180
2x = 96
x = 96/2
x = 48°
(x + 84)° = 48 + 84 = 132°
Jackie is the owner of a restaurant.
She wants to buy 16 new tables for the restaurant.
• Each table costs £118.
• Jackie will also be charged 20% VAT on the cost of the tables.
Jackie has £2250 to buy the tables.
Is £2250 enough to buy the 16 tables?
Answer:
no she won't but my answer is an estimate
Step-by-step explanation:
16 X 118 is like 1900 and 20 percent of 1900 is like 380
1900 add 380 is 2280 not enough money.
Y » Jason volunteered last month at two places: an animal shelter and the library. He spent 5 times as long volunteering at the animal shelter as he did at the library. 1) Pick the diagram that models the ratio in the story. shelter library shelter library 4) Last month, Jason volunteered 20 hours at the animal shelter. How many hours did he volunteer last month altogether? hours Submit
Answer:
24
Step-by-step explanation:
L = library
A = animal shelter
A = 5L
20 = 5L
20 ÷ 5 = 5L ÷ 5
4 = L(L = 4)
4 + 20 = 24
8. Look at the growing pattern below. How many squares will it
take to make the nth figure in this pattern?
Step-by-step explanation:
the first thing we notice is : there are always 2 "extra" squares (1 added to the bottom left, and 1 added to the top right).
and then we see that we have a "core" of n+1 squares that are added n-1 times.
e.g. for n=2 we get (2+1)(2-1) = 3×1 = 3 squares in the middle.
for n=3 we get (3+1)(3-1) = 4×2 = 8 squares in the middle.
just to verify for n=1 : that would be (1+1)(1-1) = 2×0 = 0. meaning no middle squares, which is correct.
so, the formula for n is
squares(n) = (n+1)(n-1) + 2 = n² - 1 + 2 = n² + 1
The number of squares that it takes to make the nth figure in this pattern will be n² + 1.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The growing pattern will be
⇒ (n+1)(n-1) + 2
⇒ n² - 1 + 2
⇒ n² + 1
Where n is the integer number.
More about the Algebra link is given below.
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Please help me on this
Answer:
a) the x-coordinate changes sign
b) the y-coordinates are unchanged
c) this is a reflection across the y-axis
Step-by-step explanation:
a)Each image point is on the same horizontal line as the original. It is as far from the y-axis as the original, but in the opposite direction. Its x-coordinate has changed sign.
__
b)The y-coordinate is the same for each image point as for the original. The y-coordinates have not changed.
__
c)The line of reflection is the perpendicular bisector of the segment joining the original point and its image. In every case, that is the y-axis. The image is a reflection across the y-axis.
find the value of x ( SOLVE & SHOW YOUR WORK !!!!
Answer:
x = 70
Step-by-step explanation:
The Left base angle is also = x. that's because both angles are opposite = lines
x + x + 40 = 180 All triangles have 180 degrees.
2x + 40 = 180 Combine left angles. Subtract 40 from left and right sides.
2x+40 - 40 = 180 - 40 Combine
2x = 140 Divide by 2
2x/2 = 140/2
x = 70
what are the solutions to this polynominal when s(x)=0? S(X)= (3x^2+17x +10)(x-7)(4x-3)
Answer:
-5, -2/3, 7, 3/4
Step-by-step explanation:
The solutions of S(x) = 0 satisfy one of the equations:
3x^2 + 17x + 10 = 0, x - 7 = 0, 4x - 3 = 0
The latter two are straightforward to solve:
x = 7 and x = 3/4
We now factor 3x^2 + 17x + 10 = 0
Note 10 = 5 * 2, 3 = 3 * 1 and 3 * 5 + 2 - 17.
So, we can factor it as (3x + 2) (x + 5) = 0
Thus, we also have solutions -2/3, -5.
There is a pair of parallel sides in the following shape.
4
9
10
What is the area of the shape?
The area of a shape is the amount of space on the shape
The area of the shape is 110 unit square
How to determine the area of the shapeFrom the complete question, the composite shape has:
A rectangle of 10 units by 9 unitsA triangle of base 10 units and a height of 4 unitsThe area of the rectangle is:
Area = 10 * 9 = 90 unit square
The area of the triangle is:
Area = 0.5 *10 * 4 = 20 unit square
So, the area of the figure is:
Total = 90 + 20
Total = 110 unit square
Hence, the area of the shape is 110 unit square
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A square has a perimeter of 36 cm.
What is the length of each side?
Answer:
9cm
Step-by-step explanation:
a square has 4 equal sides therefore if you divide 36 by 4 you will get the length of 1 side
Type your answer into the box.
Canberra to Melbourne is 670 km.
Round the trip to the nearest hundred kilometres.
km
find sin 0
a 8/15
b 15/8
c 15/7
d 8/17
Answer:
d
Step-by-step explanation:
janice has 27 feet of ribbon, How many more feet does she need to buy so that she will have 82 feet of ribbon
Answer:
55 feet
Step-by-step explanation:
This is a subtraction problem.
You need to find the difference between what Janice has (27feet) and what she would like to have (82feet)
82 - 27
= 55
Janice needs 55 feet of ribbon. This amount along with the 27 feet she already has will give her a total of 82 feet of ribbon.
55 + 27 = 82
Last year at a certain high school, there were 124 boys on the honor roll and 125 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 20%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).
Answer:
22.5%
Step-by-step explanation:
Find new values:
124(1−0.25)=93
125(1−0.2)=100
Last Year: Boys 124 & Girls 125
This Year: Boys 93 & Girls 100
Total: Last Year 249 & This Year 193
249(1−r)=193
249(1−r)/249=193/249
1−r=0.7751
−r=−0.2249(Subtracted 1)
r=0.2249(Divided by -1)
Final Answer: 22.5%(Multiply by 100 and round to nearest 10th)
According to the graph of H(w) below, what happens when w gets very large?
H(W)
(5.0, 20.00)
O A. H(w) equals zero.
O B. H(w) gets very small.
O C. Hw) moves left.
O D. H(w) approaches a vertical asymptote.
Answer:
B. H(w) gets very small.
Step-by-step explanation:
This should be the answer you're looking for
From the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
As we know, It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph shown in the picture.
From the graph:
H(w) represents the vertical axis or y-axis and w represents the horizontal axis or x-axis.
H(w) is decreasing as the w increasing
Thus, from the graph of H(w) and w, H(w) gets very small when w gets very large option (B) H(w) gets very small is correct.
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Kristin bought a pack of 12
pencils for $1.25. How
much was each pencil?
The entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
Answer:
Domain: [-2,5)
Range: (2,-2]
Step by step explanation:
a open circle , means a parenthesis. a close Circle means a bracket . the domain is X . The range is y . for the range you start from the top of the graph and go all the way to the bottom of the graph . then for the domain, you go from the beginning of the graph to the end of the graph, side to side. and that's how I got this answer
Brainliest if correct
10
Answer:
[tex] - 1(2)( - 5) \\ - 2 \times ( - 5) \\ = 2 \times 5 \\ 10[/tex]
Answer:
10
Step-by-step explanation:
-1(2)(-5)
-1(-10) = 10
[RevyBreeze]
There are 15 female performers in a dance recital. The ratio of men to women is 2:5. How many men are in the dance recital?
Answer:
There are 6 men in the dance recital.
Step-by-step explanation:
We have a ratio of 2:5, men to women. If there are 15 female performers we can do a cross multiplication to find the males performers:
Then it will be
[tex]\tt \frac{15}{x} =\frac{5}{2}[/tex]
[tex]\tt 5x=15*2[/tex]
[tex]\tt 5x=30[/tex]
[tex]\tt x=\frac{30}{5}[/tex]
[tex]\tt x=6[/tex]
[tex]\tt Therefore,there~are~6~Men~at~the~dance[/tex]
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Using the net what is the total surface area of the shoe box below
Answer:
SA = 280 in²
Step-by-step explanation:
The net comprises:
2 rectangles with width 5 in and length 10 in2 rectangles with width 6 in and length 10 in2 rectangle with width 5 in and length 6 inTo calculate the surface area (SA), calculate the area of each rectangle and add them together.
Area of a rectangle = width x length
Therefore, SA of net = 2(5 x 10) + 2(6 x 10) + 2(5 x 6)
⇒ SA = 100 + 120 + 60
⇒ SA = 280 in²
Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are 5 and -4
Polynomials are equations that uses variables and several terms
The polynomial in standard form is f(x) = x^2 - x -20
How to determine the polynomialThe polynomial has 2 zeros.
So, the form of the polynomial is:
f(x) = a(x - x1)(x - x2)
The zeros of the polynomial are 5 and -4.
So, the equation becomes
f(x) = a(x - 5)(x + 4)
The value of a = 1.
So, we have;
f(x) = 1(x - 5)(x + 4)
This gives
f(x) = (x - 5)(x + 4)
Expand
f(x) = x^2 - x -20
Hence, the polynomial in standard form is f(x) = x^2 - x -20
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The area of an equilateral triangle varies directly as the square of side s. What is the equation
Answer:
A = ks^2
I hope this helps :D
Answer ASAP. What is the distance between (1, -4) and (1, 18)?
0 2 units
5 units
19 units
22 units
Answer:
22
Step-by-step explanation:
I used the distance formula
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
(1, -4), (1, 18)
To find the distance between the two points we need to plot them on a graph and then count how many units are between the two.
On the same y-axis
[tex]4+18=22[/tex]
"22 units" or the fourth option.
Hope this helps.
HELP PLEASE WORTH 100 Points
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed Provide a description of the solution set (4 points)
Part B: Is the point (5, 1) included in the solution area for the system? Justify your answer mathematically (3 points)
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Answer:
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3
Last one and I’m done :’) help
Answer:
#1= 24.23
#2= 57.91
#3= 35.84
#4= 48.59
Step-by-step explanation:
soh cah toa
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan= opposite/adjacent
use inverse sin cos and tan to find angles!
Answer:
Example 1 tan-1(9/20)=24.23°
Example 2 cos-1(17/32)=57.91°
Example 3tan-1(13/18)=35.84°
Example 3 sin-1(21/28)=48.59°
0.5n-3 (n-2)-n
Please help thank you.
Answer:
n + 6
Step-by-step explanation:
5n - 3 ( n - 2 ) - n
4n - 3 ( n -2 )
4n - 3n - 3 x (2)
4n - 3n - 3 x 2
4n - 3n + 6
n + 6
Write a degree 3 polynomial with solutions, x=3, x=1 and x=0. Be sure to include all you steps. Type or upload a picture of your work
1. Observe problem
Degree of three, so
(x-3)(x-1)(x)=
x^3-4x^2+3x
Jayla got in her car and started driving toward her grandmother's house. After driving for 2 hours and 5 minutes, Jayla took a break for 1 hour and 20 minutes to have a snack. Then Jayla drove 2 hours and 5 minutes and finally arrived at her grandmother's house at 12:45 P.M. What time did Jayla start driving?
Answer:
5 hours, and 30 minutes ago, which would be 7:15 AM
Step-by-step explanation:
add hours, then minutes, then subtract both times: 12:45 - 5:30 = 7:15
Find sinθ×cos^2θ when sinθ=14 and θ is in Quadrant I.
cosA:-
[tex]\\ \rm\longmapsto \sqrt{1-sin^2A}=\sqrt{1-(1/4)^2}=\sqrt{1-1/16}=\sqrt{15/16}=\dfrac{3\sqrt{5}}{4}[/tex]
In Q1 all are positiveNow
[tex]\\ \rm\longmapsto sinA+cos^2A[/tex]
[tex]\\ \rm\longmapsto 1/4+15/16[/tex]
[tex]\\ \rm\longmapsto 4+15/16=19/16[/tex]
On a Saturday evening in Chicago, 34% of the people go out to dinner, 18% go out to see a movie, 13% go out to a party, and 35% stay home. If four people are randomly selected on Monday morning, what is the probability that all but one went out Saturday night?
Answer:
100% for the conditions given.
Step-by-step explanation:
P(out) = .34 + .18 + .13= 0.65
This is the probability for going out. The 4th person is the one not going out. We are to assume that he wants to watch Monday Night Football or something like it
So the probability of not going out for 1 person is 0.35
You can justify this in two ways.
Either you can rely on the given (P(stay at home) = 0.35)
or you can take the probability of the 3 given who do go out and subtract it from certainty (or 1)
1 - 0.65 = 0.35
Which of the following is a point where the graph
of the function f(x) = (2x + 5)2 intersects the
X-axis?
Answer:
-When (2×-5) intersects at ×-axis the value of × will be zero.
=>F(×)=× 0=2×-5
hence,
0,=2×-5
5=2×
=>×=5/2
Step-by-step explanation:
hpe it hlps
Estimate the sum of 604 and 392
Answer:
996
Step-by-step explanation:
Although that's the exact answer