Answer:
161° and 19°
Step-by-step explanation:
supplementary angles =180
(142+x)+(x)=180
142+2x=180
2x=180-142
2x=38
x=19
142+19=161
The sum of two numbers is 3. Their difference is 13. Find the numbers.
Answer:
The numbers are
5
and
8
Step-by-step explanation:
We know:
m
−
n
=
3
And we know:
m
+
n
=
13
Next, solve the first equation for
m
:
m
−
n
+
n
=
3
+
n
m
−
0
=
3
+
n
m
=
3
+
n
Then, substitute
3
+
n
for
m
in the second equation and solve for
n
:
m
+
n
=
13
becomes:
(
3
+
n
)
+
n
=
13
3
+
2
n
=
13
−
3
+
3
+
2
n
=
−
3
+
13
0
+
2
n
=
10
2
n
=
10
2
n
2
=
10
2
2
n
2
=
5
n
=
5
Now, substitute
5
for
n
in the solution to the first equation and calculate
m
:
m
=
3
+
n
becomes:
m
=
3
+
5
m
=
8
The solution is:
n
=
5
and
m
=
8
[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]
Please help me solve this problem ASAP
I have a huge test coming up and I need to understand the questions
( Will mark brainiest )
Answer:
1.25w
Step-by-step explanation:
w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here is how to solve it:
[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]
P.S: I anwsered it here:
https://brainly.com/question/27350649
Answer:
1.25
Step-by-step explanation:
There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.
From the information in the diagram, what is m ∠G?
Answer:
107⁰
Step-by-step explanation:
The m<g =107⁰
I hope it helped you
The measure of the angle ∠PGL will be equal to 107 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔPGL and ΔNHE,
PG = NH (given)
GL = HE (given)
If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.
∠PGL = ∠NHE
∠PGL = 107°
The measure of the angle ∠PGL will be equal to 107 degrees.
More about the triangle link is given below.
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Evaluate the Expression
25y-(-13)= type your answer....
when y = 7
Answer:
188
Step-by-step explanation:
25(7)-(-13)
=175 - 1(-13)
=188
What is the range of the function f(x) = |x| + 3?
{f(x) ∈ ℝ | f(x) ≤ 3}
{f(x) ∈ ℝ | f(x) ≥ 3}
{f(x) ∈ ℝ | f(x) > 3}
{f(x) ∈ ℝ | f(x) < 3}
{f(x) ∈ ℝ | f(x) ≥ 3} is the range of f(x) = |x| + 3
⇒ Range is in the y-axisWhen graphing the following equation shown below:
f(x) ≥ 3f(x) ∈ ℝ[ 3, ∞ ]Answer:
{f(x) ∈ ℝ | f(x) ≥ 3}
Step-by-step explanation:
The range of a function is the output values (y-values).
Absolute value is the distance of x from zero, so it is never negative. It is denoted by a bar on either side of the term.
Therefore, as |x| ≥ 0 then |x| +3 ≥ 3
Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}
EZ QUESTION, FREE BRAINLIEST
The maximum possible area is 36 square units.
Answer:
36sq Units at max? i think
Step-by-step explanation:
Have a good day!
#ViolentJax~
2(x - y)2 - 9(x - y) + 10
Answer:
Step-by-step explanation:
hello :
2(x - y)2 - 9(x - y) + 10
calculate : 2(x²-2xy+y²) -9x+9y +10 = 2x²-4xy +2y²-9x+9y+10
Find n that makes this equation true.
4^4 + 4^4 + 4^4 + 4^4
________________ = 4^n
4^3 + 4^3
Answer:
4^4 + 4^4 + 4^4 + 4^4=20
4^3 + 4^3=128
I can't get the real answer
but what can
Brad has a garden with dimensions 12 feet long x 7 feet wide. He wants to enlarge the garden to an area of 119 square feet. How much farther will he need to extend the length of the garden to attain his desired area?
Answer:
5 more feet
Step-by-step explanation:
iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119
Use your findings from problem 8-79 to answer the questions below. Recall that the diameter of a circle is a segment with endpoints on the circle that passes through the center. The length of the segment is also called the diameter.
Answer:
See below ↓↓↓↓
Step-by-step explanation:
a) Area of circle with radius 10 units
A = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 sq. unitsb) Circumference of circle with diameter 7 units
r = d/2 = 7/2 unitsC = 2πrC = 2 x 22/7 x 7/2C = 2 x 11 = 22 unitsc) Diameter of circle with area 121π square units
A = πr²121π = πr²r² = 121r = √121 = 11 unitsd = 2r = 2 x 11 = 22 unitsd) Area of circle with circumference 20π units
C = 2πr20π = 2πrr = 10 unitsA = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 square unitsArea of circle with radius 10 units is 314 square units,
Circumference of circle with diameter 7 units is 22 square units,
Diameter of circle with area 121π square units is 22 units and
Area of circle with circumference 20π units is 314 square units
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
a) Area of circle with radius 10 units
A = πr²
A = 3.14 x (10)²
A = 3.14 x 100
A = 314 sq. units
b) Circumference of circle with diameter 7 units
C = πd
C = 3.14×7
C = 21.98 units
c) Diameter of circle with area 121π square units
A = πr²
121π = πr²
r = √121 = 11 units
d = 2r = 2 x 11 = 22 units
d) Area of circle with circumference 20π units
C = 2πr
20π = 2πr
r = 10 units
A = πr²
A = 3.14 x (10)²
A = 3.14 x 100
A = 314 square units
Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units
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The soccer players were required to run 6 more laps per day than the tennis players for five straight days. If the soccer players ran 45 laps total during these days, how many laps did the tennis players run each day?
Answer:
3 laps per day
Step-by-step explanation:
Divide 45 laps by 5 days to get how many laps they ran per day
45/5 = 9 laps per day
The tennis players run 6 less laps per day than the soccer players so subtract 6 laps from 9 laps to get their daily laps
6-9 = 3 laps per day
What is 4 – 12? −16 −8 8 16
please help
Answer: -8
Step-by-step explanation:
what's the answer to this question and how do I solve it?
Answer:
80 gummy bears are in 4 servings.
Step-by-step explanation:
2 servings=40 gummy bears
3 servings=60 gummy bears
40+20=60
Add 20 gummy bears for every serving.
5 servings=100 gummy bears
100-20=80 gummy bears are in 4 servings
OR you can also do:
40÷2=20 gummy bears are in each serving
So, 4x20=80 gummy bears are in 4 servings
find the exact value of 2sin30 cos30
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
4. Evaluate and then express 2(11 x 10') in the form A X 10" where Is A < 10 and n is an integer
Answer:
Step-by-step explanation:
hello : 2,2×10² where : A =2,2 ( A < 10) qnd n =2 (is integer)
Henry has scored 30, 29, 22, and 21 points in his four basketball game so far. How many points does he need to score in his next game so that his average mean is 24 points per game
Answer:
20
Step-by-step explanation:
I think
sorry
The required Henry needs to score 18 points in his next game to have an average of 24 points per game.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
average = sum of all scores/number of scores
We know that Henry has played four games so far, and his scores are 30, 29, 22, and 21 points. Therefore, the sum of his scores is:
sum of scores = 30 + 29 + 22 + 21 = 102
Let's assume that Henry scores x points in his next game. Then, his total score for all five games will be,
total score = 102 + x
If his average is 24 points per game, we can set up the equation:
24 = (102 + x) / 5
120 = 102 + x
x = 18
Therefore, Henry needs to score 18 points in his next game to have an average of 24 points per game.
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Please help; struggling in Algebra
Answer:
50
Step-by-step explanation:
The mean splits a data set into 50-50
So the answer is 50
Please answer number 8. I need help, I don’t understand.
Answer:
A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.
Step-by-step explanation:
Will give BRAINLY AND FIVE STARS and A THANKS
Answer:
7 to 49
Step-by-step explanation:
The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.
Answer:
k = 7h.
Step-by-step explanation:
Each value of k is 7 times the value of h.
So k = 7h.
Explain how you could calculate the surface area of a square pyramid
There are two different ways to find surface area of square pyramid
1st
If you are given the slant height and the side length[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]
a = side lengthl = slant height2nd
If you are given the height and the side length[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]
a = side lengthh = heightAnswer:
sample response
Step-by-step explanation: :)
You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.
7) Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%, how much will the shoes be worth
in 2 months (8 weeks)?
Answer:
$100.8
Step-by-step explanation:
An account statement has a balance of 109 dollars and 75 cents. carl is balancing his checking account. after comparing the bank statement to his register, he notices an outstanding debit of $58.00. which shows the correct amount in carl’s checking account? $51.75 $109.75 $167.75 $221.87
The correct amount in carl’s checking account will be $51.75. Then the correct option is A.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
An account statement has a balance of 109 dollars and 75 cents.
Carl is balancing his checking account.
After comparing the bank statement to his register, he notices an outstanding debit of $58.00.
Then the correct amount in carl’s checking account will be
→ 109.75 - 58 = $ 51.75
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Answer:
Step-by-step explanation:
a
find the value of a and b if 1/(x^2)-3x-10=a/(x+2)+b/(x-5)
Answer:
Step-by-step explanation:
You are filling a 5-L fish tank using a 250-mL container. How many full containers are required to fill the fish tank? PLEASE HELP NOW
Answer:
20 containers
Step-by-step explanation:
5L = 5000ml
so,
5000/250 = 20 containers
I hope my answer helps you.
fill 5L tank using 250 ml container .
to find:how many full containers are required to fill the tank.
solution:1 L= 1000 mL
1000 mL/250mL = 4
1 L= 4 full containers
4 containers x 5 liters = 20 full containers.
so, 20 full containers are required to fill the fish tank.
A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the distance between them decrease?
How fast the distance between them decrease is 16mph
How to calculate the speed of an object?Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
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Answer: 28 mph
Step-by-step explanation:
find the base of the triangle !
please hurry! Thank you!
Answer:
given
area of triangle = 48
height(h)=12
base(b) =‽
now,
area of triangle(a) =1/2 base×height
48=1/2 b×12
48=b×6
b=8
Please help it’s due soon
Answer:
D) 30
Step-by-step explanation:
AB is the diameter of the circle
AB = AE + EB
= 25 + 9
= 34
OB, OC and OD are all the radius of the circle.
Radius = half the diameter
Therefore, OB = OC = OD = 34 ÷ 2 = 17
ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE
OE = OB - 9
= 17 - 9
= 8
Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]
(where a is one of the congruent side lengths and h is the height)
[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]
[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]
[tex]\implies CD=30[/tex]
When you are analyzing the relationship between two continuous variables, how should you plot the data?.
Answer:
Scatterplot.
Step-by-step explanation:
Scatterplots help in analyzing the relationship between two continuous variables
Find the area of a regular octagon with an apothem length of 10 and a side length of 6.
Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²
Answer:
Step-by-step explanation:
Preliminary task
Draw a regular octagon.
Draw a perpendicular from the side's midpoint to the center. (That is the apothem).
Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.
The octagon has 8 such triangles.
Area one triangle
Area = 1/2 * side * apothem
side = 6
apothem = 10
Area = 1/2 6 * 10
Area = 30
Area of 8 such triangles.
Area = 8 * area of 1 triangle
area 1 triangle = 30
Area of 8 such triangles = 30*8 = 240
Answer 240
The following histogram shows the number of minutes that 29 students took to complete an exam.
Based on this histogram, about 10% of students took less than
minutes to complete the
exam.
Time spent taking an exam
12
10
Frency
9
.
20
Using the histogram, it is found that about 10% of students took less than 40 minutes to complete the exam.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
Researching the problem on the internet, it is found that the histogram states that:
One student completed the test in less than 10 minutes.Two students took between 30 and 40 minutes to complete the test.10% of 29 is approximately 3, hence about 10% of students took less than 40 minutes to complete the exam.
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