Answer:
One basic property of a parallelogram is that opposite angles have the same value. Hence angle B = angle D. (2n+15°) = (3n-5°). Then have one side for the unknown. The equation will be 3n=2n+15°+5°. To get the n, simplify the equation: 3n-2n = 20° or n = 20°. Afterwards substitute the value of n to the angles. Angle B = (2(20)+15), Angle D = (3(20)-5). Lastly, simplify the equations. Angle B = (40+15°) = 55° and Angle D = (60-5°)=55°. Therefore the value of angles B & D are both 55°.
Step-by-step explanation:
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
23
Step-by-step explanation:
m∠A=cos⁻¹(35/38) = 22.91954215
round your answer to the nearest tenth.
23 degrees is the measure of the indicated angle in the triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a right angled triangle.
The side lengths of triangle are 35 and 38.
We have to find the measure of the angle opposite to the right angle.
By using cosine function formula we calculate it.
CosA=Adjacent side/Hypotenuse
CosA=35/38
m∠A=cos⁻¹(35/38)
= 22.91954215
Hence, 23 degrees is the measure of the indicated angle.
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If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.
Answer:
The equation in slope-intercept form is[tex]y=\frac{5}{2}x-5[/tex]
The equation in the standard form will be:[tex]\frac{5}{2}x-y=5[/tex]
Step-by-step explanation:
The x-intercept is obtained when we set the value y=0As the x-intercept is 2, therefore the point representing
the x-intercept will be: (2, 0)
The y-intercept is obtained when we set the value x=0As the y-intercept is -5, therefore the point representing
the y-intercept will be: (0, -5)
So we get the two points
(2, 0)
(0, -5)
Finding the slope between (2, 0) and (0, -5)
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-0}{0-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here m is the slope
substituting the values m = 5/2 and the point (2, 0)
[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]
so writing the equation in slope-intercept form
As we know that the slope-intercept form is
[tex]y=mx+b[/tex]
here
m = gradient or slop b = y-interceptso
[tex]y=\frac{5}{2}\left(x-2\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Hence, the equation in slope-intercept form is
[tex]y=\frac{5}{2}x-5[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=\frac{5}{2}x-5[/tex]
so the equation in the standard form will be:
[tex]\frac{5}{2}x-y=5[/tex]
Solve 2|x + 2| – 3 ≥ 0
Answer:
2x+1
Step-by-step explanation:
Answer
[tex]x[/tex] [tex]\geq[/tex] [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
I'm learning this to but I hope this helps :)
Please help me :) I need #32
Answer:
1/5
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-3 - (-1)) / (-7 - 3)
= -2 / -10
= 1/5
** pay attention to your minus signs
What value of x satisfies the equation below? Explain
how you know
-3x = 15
Answer:
x = -5
Step-by-step explanation:
Honestly I don't know what to do at this point please help
Joe is working at the storage yard. It is 50 yards from the entrance (V) to the checkpoint (W). From there, it is 40 yards to the guard post (X). From his spot at the guard post, Joe notices a barrel tipped over 12 yards away (Z). The spill stretches to the fence (Y). If AXYZ is similar to AXVW, what is the distance d across the chemical spill? * zd Y 12 yd X 40 yd 50 yd W
Answer:
15 yds
Step-by-step explanation:
40 divided by 50 equals 4/5, so the lengths of the other triangle have to match that ratio. 3 fits into 12 four times and 15 five times, which makes it a four to five ratio.
Does anyone know the answers to these two? Pls pls tell me if you do, with an explanation if you can, I really need to pass these two question :)
Answer:
The first one is none of the answers are correct and the second one is -1,-7
Step-by-step explanation:
Just plug in the x and y values
What is the equation of the line through the origin and (3, 4)?
Answer:
y = 4/3x
Step-by-step explanation:
Hope that helps you
lines A and B are parallel what is the measurement of angle b?
Answer:
79
Step-by-step explanation:
Since the two lines are parralel, then the angles should be the same.
Answer:
79 degrees for sure
Step-by-step explanation:
this is because im pretty sure its right.
both angles look same to me trust me
pls mark braineslt if im right
An earthworm times 2 cm into the ground each day the earth worm tunnels at about the same place every day how many days will it take the earthworm to tunnel 14 cm
Answer:
7 days
Step-by-step explanation:
Given that:
Distance tunneled into the ground each day = 2cm
The rate is the same everyday ;
Hence, to. Tunnel 14cm into the ground , it will take the earthworm;
1 day = 2cm
x days = 14cm
Cross multiply :
2x = 14
x = 14 /2
x = 7
Hence, it will take 7 days for the earthworm to tunnel 14cm
PLS help guys dont do it for the points and you have to find the sum
Answer:
12/15 or 4/5
Step-by-step explanation:
4+1+7=12
All three fractions have common denominator which is 15
Answer:Exact Form 4/5
Decimal form: 0.8
or it is 8/10, 12/15, 16,20, 20/25 and 24/30
Cheryl fenced in a rectangular kennel and used more fence to divide it into six equally sized sections for her dog i
h is friends as shown. The length of each section is 2 feet more than 3 times its width.
T
If the total amount of fence used for the kennel is 113 feet, what is the area of each section?
Enter the value of the answer in the first blank and enter the units in the second.
Enter your answer in decimal form. Round to the nearest tenth if rounding is necessary.
Enter units as ft., square ft., or cubic ft.
Answer:
The area of each section of the kennel is 33 square ft
Step-by-step explanation:
The given parameters for the fencing are;
The length of each section, L = 2 ft + The width, 3×W
The total amount of fencing = 113 feet
The The total perimeter of the kennel = 12·W + 7·L = 113
Were we are given L = 2 + 3·W
By substitution, we have;
12 × W + 7 × (2 + 3·W) = 113
33·W + 14 = 113
33·W = 113 - 14 = 99
W = 99/33 = 3
W = 3 ft.
L = 2 + 3·W = 2 + 3 × 3 = 11
L = 11 ft.
The area of each section of the kennel, A = L × W = 3 × 11 = 33 square ft.
The area of each section of the kennel = 33 square ft.
Evaluate each value expression for the given value of x: x-5 , x - =22
pls fast
Answer:
-18
Step-by-step explanation:
-18
brainlest please
what are the steps to solve -8(p+2)+p=4(p+3)+5
Answer:
p = -3
Step-by-step explanation:
What is the volume of a sphere with a radius of 6 inches
Answer:
904.78 in I think but I'm not 100%
Answer:
V≈904.78
Step-by-step explanation:
V=4/3[tex]\pi[/tex][tex]r^{3}[/tex]
V=4/3[tex]\pi[/tex](6)^3
V≈904.78
I'm pretty sure this is correct.
f) 16 - p = 12
g) 18 - 2p = 6
h)p2+ 4 = 9
i)p4- 3 = 1
**MUST SHOW YOUR WORK**
Dos padres de familia deseaban saber cuáles son los costos de los uniformes escolares que compraron a sus hijos, ya que el primero padre de familia realizó la siguiente compra: 2 pantalones y 2 playeras pagando por ello $820, el segundo padre de familia realizó la siguiente compra, 1 pantalón y 3 playeras pagando por ello $490. Resuelve los siguente cuestionamientos ¿Los padre de familia pagaron al mismo precio cada pantalón y playera? ¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Answer:
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Step-by-step explanation:
Dos padres querían saber el costo de los uniformes escolares que compraban para sus hijos, ya que
Representemos pantalones = p
camisas = s
Derivamos las 2 ecuaciones
El primer padre hizo la siguiente compra: 2 pantalones y 2 camisas pagando $ 820 por ella
2p + 2s = 820 ........ Ecuación 1
El segundo padre hizo la siguiente compra, 1 pantalón y 3 camisas pagando $ 490.
p + 3s = 490 ....... Ecuación 2
p = 490 - 3 s
Resolvamos el precio de cada pantalón y camisa.
Nosotros sustituimos
2p + 2s = 820
2 (490 - 3 s) + 2 s = 820
980 - 6s + 2s = 820
980 - 820 = 6 segundos - 2 segundos
160 = 4 s
s = 160/4
s = $ 40
Por lo tanto, el costo de cada camisa = $ 40
El costo de los pantalones =
p = 490 - 3 s
p = 490 - 3 (40)
p = 490 - 120
p = $ 370
El costo de cada pantalón = $ 370
Resuelve las siguientes preguntas.
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Planteando y resolviendo un sistema de ecuaciones, veremos que cada playera cuesta $40 y cada pantalon cuesta $370.
Definamos:
x = precio de pantalonesy = precio de playeras.Por la información dada, tenemos que:
2*x + 2*y = $820
1*x + 3*y = $490
Primero respondamos las preguntas:
Notar que ambas preguntas basicamente preguntan la misma cosa:
¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Es realmente imposible saber la respuesta, pero debemos asumir que no, dado que si x e y representan diferentes cosas en cada ecuación, entonces las variables no estan definidas, y el problema es imposible de resolver.
Así que asumimos que los precios son los mismos.
con esto en mente, podemos resolver el sistema:
2*x + 2*y = $820
1*x + 3*y = $490
Primero, aislamos una variable en una ecuación, en este caso voy a aislar x en la segunda:
x = $490 - 3*y
Reemplazamos eso en la primera:
2*($490 - 3*y) + 2*y = $820
$980 - 4*y = $820
$980 - $820 = 4*y
$160/4 = y = $40
Es decir, el precio de cada playera es $40.
Mientras que:
x = $490 - 3*$40 = $370
Cada pantalon cuesta $370
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The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle? 27° 36° 54° 72°
Answer:72
Step-by-step explanation:
Answer:
The answer is D) 72
Step-by-step explanation:
I got the questions right on edge 2020. good luck everyone. please rate the question.
how to write this numbers in word 76.68
Answer:
seventy-six and sixty-eight hundreths
Step-by-step explanation:
Answer:
seventy six point sixty eight
Step-by-step explanation:
Tbh it depends on the person, but this is how I would say it out loud.
Find the 13th term of the geometric sequence 7, 21, 63, ...
Answer:3,720,087
Step-by-step explanation: sorry if I’m wrong
Pls help me I have other homework to do. Also it detects if it’s right or wrong:(
Answer:
It's blurry
Step-by-step explanation:
guys please help!!!! i NEED to get these right to pass!!!! I WILL GIVE THE BRAINLIEST!!!!
Answer:
Answer in order, 12,14, (4,3), x2, 4, 12, 3
Step-by-step explanation:
PLEASE MARK BRAINLIEST
help plz this type of stuff is confusing
Answer: Corresponding Angles
Step-by-step explanation:
trust me
Solve the equation 5.4g + 4 = 1.4g +20.
a. Find the value of g.
b. Explain how you can check that the value you found for g is correct. If your check does not work,
does that mean that your result is incorrect? Explain.
a. g=1
How would i do this??:: Some kinds of fruit juice are only 10% juice. Other brands are 40% juice how much of each kind of juice should be mixed together to form 5 gallons of punch which is 25% juice?
Answer:
You should mix
2.5 gallons of the first juice with
2.5 gallons of the second juice
Step-by-step explanation:
Step one
Let the first kind of juice be x
Let the second be y
Given x contain 10% juice
and y contains 40% juice
So for the percentage constituent concentration of each the expression is
0.1x+ 0.4y=0.25(5)
0.1x+0.4y=1.25—----------------1
Step two
Also for the volume of the mixture, we are working with 5 gallons hence the expression
x+y=5-------------------------------2
The system of equation for the situation is
0.1x+0.4y=1.25------1
x+y=5-------------------2
From equation 2
x=5-y
Put x=5-y in the equation
0.1(5-y) +0.4y=1.25------1
0.5-0.1y+0.4y=1.25
0.3y=1.25-0.5
0.3y=0.75
Dividing both sides by 0. 3
y=0.75/0.3
y=2.5
x=5-y
x=5-2.5
x=2.5
The mixture should consist of
2.5 gallons of the first juice with
2.5 gallons of the second juice
3) The International Space Station takes 644 minutes to orbit Earth 7 times. About how long does each orbit take? I got 92 am I correct to crazy? 100 minutes 95 minutes 90 minutes 80 minutes
Given:
The International Space Station takes 644 minutes to orbit Earth 7 times.
To find:
The time taken by each orbit.
Solution:
Total time = 644 minutes
Total number of orbits =7
Now,
[tex]\text{Time taken be each orbit}=\dfrac{\text{Total time}}{\text{Number of orbits}}[/tex]
[tex]\text{Time taken be each orbit}=\dfrac{644}{7}[/tex]
[tex]\text{Time taken be each orbit}=92[/tex]
So, the required time is 92 minutes.
Therefore, you are correct and all options are incorrect.
15 - 3k = 10(k-5)
Can someone please answer this
Answer:
k = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
15 - 3k = 10(k - 5)
Step 2: Solve for k
Distribute 10: 15 - 3k = 10k - 50Add 3k to both sides: 15 = 13k - 50Add 50 to both sides: 65 = 13kDivide 13 on both sides: 5 = kRewrite: k = 5Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 15 - 3(5) = 10(5 - 5)Subtract: 15 - 3(5) = 10(0)Multiply: 15 - 15 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
Answer:
k=5
Step-by-step explanation:
1. Apply distributive property: 15-3k=10k-50
2. Bring all variables to one side: 15-3k=10k-50
+3k +3k
15=13k-50
3. Isolate K by bring the term in it's way to the other side: 15=13k-50
+50. +50
65=13k
4. Isole your variable by divide by 13: 65=13k
65/13 13/13
5=k
a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the large in square feet
Answer:
The area of larger table is 24 square feet.
Step-by-step explanation:
Given are the length and width of small table
[tex]l_s = 2\ ft\\w_s = 3\ ft[/tex]
The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table
So the length and width of larger table will be:
[tex]l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet[/tex]
The area of larger table will be:
[tex]A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2[/tex]
Hence,
The area of larger table is 24 square feet.
What is the area of this trapezoid?
Answer:
153
Step-by-step explanation:
You are trying to memorize a speech for your public
speaking class. After 1 day, you memorized 200 words. Each
of the following days, you memorized an additional 30
words.
Use the given information to write a linear equation in point-
ten
slope form. Then use the equation to find the number of
words will you have memorized after 8 days.
words
y= 30x + 200 is the linear equation at this location.
After eight days, 440 words have been retained.
What is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Ax+By=C is the usual form for two-variable linear equations.y= 30x + 200 x=8 30(8) +200 = 240+200 = 440The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.First-order equations are referred to as linear equations. These equations combine to make a straight line, and the equation y=mx+b, where m stands for the slope, represents a linear equation. In linear equations, one or more variables can be used.To learn more about Linear equation refer to:
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