Answers
Answer:
angle 1 = 124
angle 2 = 56
angle 3 = 124
angle 4 = 56
Step-by-step explanation:
This problem is a bit like a puzzle. To make notation easier I'm going to do this:
angle 1 = a
angle 2 = b
angle 3 = c
angle 4 = d
Now, let's start with what we know from the image.
All angles added together form a circle or 360 degrees
a + b + c + d = 360
In the same regard a + d = 180, and b + c = 180
Also,
a = c
and
b = d
It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.
d = 1/4(a) + 25
If we look at all the equations we have, we can see that two of the equations have two of the same variables:
a + d = 180
and
d = 1/4(a) + 25
Using substitution we can take the second equation substitute it for d in the first equation giving us:
a + (1/4(a) + 25) = 180
Now we just solve for a
[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]
Therefore a, or angle 1, is 124
Since a = c, then c, or angle 3, is also 124
Since a + d = 180 and a = 124 then
d = 180 -124
d = 56
So, d, or angle 4, is 56
And because b = d then b, or angle 2, is also 56
a = 124
b = 56
c = 124
d = 56
For extra measure, we can check our work by using the first equation
a + b + c + d = 360
124 + 56 + 124 + 56 = 360
Related Questions
Please help divide 5 652 to the ratio 2:3:5 I will give brainliesters
thank you in advance
Answers
Answer:
105
Step-by-step explanation:
(-20+5)(58-65)
(-15)(-7)
105
4, what is the length of EF? Please help
Answers
Answer:
EF = 8
Step-by-step explanation:
BC is half of AB, which means that DE will be half of EF. So if DE is 4, which is half of EF, then EF must be 8.
hope this helped! :)
Please help me to finish the table! D:
Answers
Answer: 32, 27, 20
Step-by-step explanation: This is a quadratic table.
Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.
Answers
Answer:
A) 36 inches
36 Incheon is the correct answer
Answer:
D.) 64pi in.³
Step-by-step explanation:
I got it right in quiz, trust me.
I hope this helps! ^^
30^2 + 15^2 = c^2
Use pythagorean theorem
Answers
Answer:
c = 33.5
Step-by-step explanation:
[tex]30^{2} + 15^{2} = c^{2}[/tex]
[tex]900 + 225 = c^{2}[/tex]
[tex]1125 = c^{2}[/tex]
(find square root of both sides to get c alone)
[tex]c = 33.541[/tex]
What is 14 + 6 =
+11
Answers
Since, 14 + 6 = 20
Therefore, 14 + 6 = 9 + 11
dont forget to like and mark me
Answer:
31
Step-by-step explanation:
Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches. Which of the following is closest to angle F
1. 38° 2. 65° 3. 52° 4. 72°
Answers
Answer:
3
Step-by-step explanation:
The closest angle to F in the triangle is 52 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches.
We can use the tangent function to find the measure of angle F:
tan(F) = opposite/adjacent = 18/14
we can find the inverse tangent of this value:
F = tan⁻¹(18/14)
= tan⁻¹(1.28)
F= 52.15°
Hence, the closest angle to F in the triangle is 52 degrees.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
Proving a parallelogram side theorem.
Given ABCD is a parallelogram.
Prove: AB≈CD and BC ≈ DA
Answers
Answer:
just did it on edg, 2021
Hence, AB≈CD and BC ≈ DA
What is a parallelogram?
A four sided closed figure with all its sides parallel to its opposite side.
Consider two triangles ΔABD and ΔBCD
∠BCD=∠BCA( opposite angles are always equal)
∠ABD=∠BDC (AD||BC)
∠ADB=∠DBC(AD||BC)
ΔABD ≅ ΔBCD
AB≈CD by CPCTC
BC ≈ DA by CPCTC
Hence, proved
Learn more about triangles
https://brainly.com/question/1058720
#SPJ2
What is the measure of the unknown segment?
Answers
Answer:6
Step-by-step explanation:
Select the correct answer.
If you divide-16 into 5 equal parts, how much is each part equal to?
A.
-4
B.
-3.2.
C.
+2.4
D.
+5
Reset
Next
Answers
Answer:
-3.2
Step-by-step explanation:
That’s the correct anwser
Pew research reported in 2013 that 15% of American adults do not use the internet or e-mail. They report a margin of error of 2.3 percentage points. The meaning of that margin of error is: A) If they repeatedly sampled from the population, and constructed a confidence interval for each estimate, about 2.3% of those intervals would capture the proportion of American adults who don't use the internet or e-mail. B) They estimate that 2.3% of those surveyed answered incorrectly. C) There is a 2.3% probability that their estimate is incorrect. D) They are pretty sure that the poll result differs from the actual percentage of American adults who don't use the internet or e-mail by 2.3% or less.
Answers
Answer:
B) They estimate that 2.3% of those surveyed answered incorrectly
Step-by-step explanation:
hope it helps you dude
Consider the function represented in the table.
Which point of the given function corresponds with the
minimum value of its inverse function?
X
-10-20
3 8
0
-2.
5 8
4.5-6
A (-20, 8)
B (-10,3)
C (0, -2)
D (8,-6)
HELPPP
Answers
Answer:
The real answer is (-20, 8).
Step-by-step explanation:
I just did the unit test practice or whatever and used the answer above and got it wrong. This is the correct answer.
Multiply the additive inverse of -1/14 with the multiplicative inverse of 21/49.
Chapter : Rational Numbers
Answers
Answer:
1/6
Step-by-step explanation:
When we talk of additive inverse, we mean the value we will add to a certain number to give 0
for example, the additive inverse of 4 is -4
Hence, the additive inverse of -1/14 is 1/14
The
multiplicative inverse is the number multiplied by another that gives 1
For example, the multiplicative inverse of 4 is 1/4
Thus, we have it that;
multiplicative inverse of 21/49 is 49/21
multiplying;
1/14 * 49/21 = 1/6
Answer:
Answer:
1/6
Step-by-step explanation:
When we talk of additive inverse, we mean the value we will add to a certain number to give 0
for example, the additive inverse of 4 is -4
Hence, the additive inverse of -1/14 is 1/14
The
multiplicative inverse is the number multiplied by another that gives 1
For example, the multiplicative inverse of 4 is 1/4
Step-by-step explanation:
what is equivilent to 0.5y + 10.5 + 6.5y - 0.5 - 0.5y
Answers
Answer:
6.5y + 10
Step-by-step explanation:
0.5y + 10.5 + 6.5y - 0.5 - 0.5y
combine like terms
6.5y + 10
Answer:
m
Step-by-step explanation:
f
can you help me solve this?
6 ÷ 2(1+2) = ?
Answers
Answer:
9
Step-by-step explanation:
it just is
Buenos días personas!!!
Necesito ayuda con esta problema de Matemáticas. ¿Me ayudan por favor?
PROBLEMA: Calcula 5€ de descuento de 16,80€
SOLUCIÓN: no sé
Muchas gracias!!
Answers
Respuesta:
11,80 €
Explicación paso a paso:
Dado:
Importe o coste = 16,80 €
El valor de descuento sobre la cantidad = 5 €
El precio o costo con descuento sobre el monto entregado será; la diferencia entre la cantidad dada y el valor de descuento
Importe - valor de descuento
16,80 € - 5 €
= 11,80 €
what is the maximum number of interior reflex angles that a hexagon can have?
Answers
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answers
Answer:
7.68%
Step-by-step explanation:
The computation of the yield is shown below:
As we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
We simply divide the annual dividend from the price per share so that the yield could be determined
hence, the yield is 7.68%
And, the same would be relevant
Find mZN.
62°
K
N
Need help with this question?
Answers
Answer:
118degrees
Step-by-step explanation:
Assuming we are given the following and m<k and ,<N lies on the same straight line, hence;
m<K = 62 degrees
n<N = ?
Since are on the same straight line, hence;
m<N + m<K = 180
m<N + 62 = 180
m<N = 180 - 62
m<N = 118
Hence the measure of m<N is 118degrees
'
,
Label each statement as true or false regarding the zeros/roots of a quadratic function. The roots zeros of a quadratic function are the same as the factors of the quadratic function. The roots zeros are the spots where the quadratic function intersects with the y-axis. The roots zeros are the spots where the quadratic function intersects with the x-axis. There are not always two roots/zeros of a quadratic function,
Answers
Answer:
True, false, true, true.
Step-by-step explanation:
The roots zeros of a quadratic function are the same as the factors of the quadratic function. This is true because your roots are your factors—>(x-3) is a factor, x=3 is the root.
The roots zeros are the spots where the quadratic function intersects with the y-axis. No! Those are called y-intercepts!
The roots zeros are the spots where the quadratic function intersects with the x-axis. True. X-intercepts are your solutions. (x-3) graphed would the (3,0). That’s a solution.
There are not always two roots/zeros of a quadratic function, True. No solution would be when your quadratic doesn’t intersect the x-axis. One solution would be when your vertex would be on the x-axis. Two solutions is when your quadratic intersects the x-axis twice. Can there be infinite solutions? No. It’s either 0, 1, or 2 solutions.
What is the expanded form of 1,693,222,527? A. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 220,000 + 20,000 + 2,000 + 500 + 20 + 7 B. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 C. 1,000,000,000 + 600,000,000 + 9,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 D. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 200 + 50 + 7
Answers
Answer:
A.
Step-by-step explanation:
Answer:
A. 4,000,000 + 600,000 + 10,000 + 2,000 + 200 + 50 + 8 + 9
Step-by-step explanation:
Find the product.
-7(-a 2)(-5)
Answers
Answer:
3
5
(
−
2
)
Step-by-step explanation:
Simplify then multiple the numbers
Find the measurements of DBC
Answers
Answer:
72 degrees
Step-by-step explanation:
To determine the value of DBC, we first have to determine the value of q
Angle on a straight line = 180 degrees
7q - 46 + 3q + 6 = 180
10q - 40 = 180
collect like terms
10q = 180 + 40
10q = 220
q = 22
Substitute for q in angle dbc
3(22) + 6 = 72 degrees
Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
2. passes through (4, -1), slope = -3
Answers
An equation of a line in point-slope form: y - y₁ = m(x - x₁)
1.
passes through (1, 9) ⇒ x₁ = 1, y₁ = 9
slope: m = 2
The equation:
y - 9 = 2(x - 1) ← point-slope form
y - 9 = 2x - 2 {add 9 to both sides}
y = 2x + 7 ← slope-intercept form
2.
passes through (4, -1) ⇒ x₁ = 4, y₁ = -1
slope: m = -3
The equation:
y + 1 = -3(x - 4) ← point-slope form
y + 1 = -3x + 12 {subtract 1 from both sides}
y = -3x + 11 ← slope-intercept form
What is the approximate surface area of this right prism with triangular bases?
Answers
Answer:
394.2 ft
Step-by-step explanation:
7.8(9)=70.2
This is the measurement for the two triangular sides
9(12)(3)=324 This is the measurement for the three triangular sides
70.2 +324 = 394.2 APPROX
A=1/2h(b+b)
a
77 ft sq.
b
29 ft sq
c
154 ft sq
d
392 ft sq.
Answers
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Putting values in the equation
A = 1/2(7)(8 + 14)
= 1/2(7)(22)
= 1/2(154)
= 77 ft. sq
Option A is the correct answer
what is 2 divided by 1/2
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
to me when you divide with a farction it already is divsion but when u use it in divson i make nubmer bigger (if it's the 2nd number ) so thats way 2÷1/2=4
Please somebody help me ASAP
Answers
it's recorded that out of 1000 people, 762 wear the corrective lenses.
just divide 762 from 1000 and multiply that result by 100.
762/ 1000 = .762
.762 x 100 = ? %
which is 76.2 %
so, we predict that 76.2% of Americans would wear corrective lenses.
Answer: 76.2 %The table below represents a linear function.
Х y
-1 5
1 9
3 13
5 17
Which function has a greater slope and a greater y-intercept than the linear functon represented
in the table?
UWA
A. y = 2x + 8.5
B. y = 3x + 7.5
C. y = 5x + 6.5
y = 10x + 5.5
Answers
A decagon.
Gregory drew this regular decagon. All angles have the same measure.
What is the sum of the interior angle measures?
°
What is the measure of each angle?
°
Answers
Answer:
78
Step-by-step explanation:
Answer:
1440 and 144 on edg 2020-2021
Step-by-step explanation: