Answers
For the top part, both equations are vertical angles, so both equations will equal the same angle.
(4 + 23x) = (24x)
4 + 23x = 24x
4 = 24x - 23x
4 = x
Plug in x = 4 into both equations.
4 + 23(4) = 24(4)
4 + 92 = 96
96 = 96
Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.
Answer: 96 degrees is the angle--------------------------------------------------------------------------------------------------------------
For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.
(x + 120) + (x + 80) = 180
x + 120 + x + 80 = 180
2x + 200 = 180
2x = 180 - 200
2x = -20 (don't worry about having a negative solution)
x = -10
Plug in x = -10 into both equations.
(-10) + 120 + (-10) + 80 = 180
110 + 70 = 180
180 = 180
Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.
Answer: Since the question asked to find a measure of the angle indicated in bold, the angle measure is 70 degrees.Related Questions
#3. Write the slope-intercept equation of
the line.
Answers
Answer:
y=-3x+4
Step-by-step explanation:
find the solution of given expression
[tex] \sqrt{369 \times 369} [/tex]
Answers
369, because
√369 × √369
= √(369 × 369)
= √136161
= 369
Answer:
√{369×369}=√369²=±369
Help please ASAP hsksbeishehsodb
Answers
Answer:
D
Step-by-step explanation:
Answer:
Experimental prob
Step-by-step explanation:
Experimental means you actually did it thats why its called experimental.
Theoretical means a guess in the future
Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.
a. How long is the red ribbon if the blue ribbon is:
10 inches?
27 inches?
X inches?
Answers
Answer:
If blue ribbon is 10 inches, red ribbon is 3 inches
If blue ribbon is 27 inches, red ribbon is 20 inches
If blue ribbon is x inches, red ribbon is x - 7 inches
Step-by-step explanation:
Given that,
The length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.Need to find,
How long red ribbon is if blue ribbon is 10 inchesHow long red ribbon is if blue ribbon is 27 inchesHow long red ribbon is if blue ribbon is x inches--------------------------------------------------------------------------------------------------------------
How long is the red ribbon if the blue ribbon is 10 inches?
We know that the formula for find the length of the red ribbon is:
length of blue ribbon - 7 inches = length of red ribbon
Since we know the length of the blue ribbon (10 inches), we can apply that to the formula:
10 inches - 7 inches = length of red ribbon
So, what is 10 - 7? That gives us 3. So, the length of the red ribbon is 3 inches if the length of the blue ribbon is 10.
--------------------------------------------------------------------------------------------------------------
How long is the red ribbon if the blue ribbon is 27 inches?
We do the same as we did above to get 20 inches as the final answer because 27 inches - 7 inches gives us 20 inches as a difference.
--------------------------------------------------------------------------------------------------------------
How long is the red ribbon if the blue ribbon is x inches?
Since we do not know the value of x, we keep the length of the red ribbon to x - 7.
The length of the red ribbon is 3 inches if the blue ribbon is 10 inches.
The length of the red ribbon is 20 inches if the blue ribbon is 27 inches.
The length of the red ribbon is (X - 7) inches if the blue ribbon is X inches.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length of blue ribbon = x
Length of red ribbon.
= x - 7
Now,
If x = 10
Length of red ribbon.
= 10 - 7
= 3 inches
If x = 27
Length of red ribbon.
= 27 - 7
= 20 inches
If x = X
Length of red ribbon.
= (X - 7) inches
Thus,
The length of the red ribbon is given above.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
3^2x+1=9^2x-1 solve the equation
Answers
2 = 72x
X=36
6x+1 = 18x-1
-18x = -18x
-12x +1= -1
-12x -2
-2/-12= 1/6
x=1/6 or 0.16
3 cups, 3 ounces = ____ fl oz.
Answers
Answer:
27 fl oz.
Step-by-step explanation:
LOOK BELOW AT THE PICTURE
Answers
Answer:
C. 1796.08 [tex]in^2[/tex]
Step-by-step explanation:
Area of circle is [tex]\pi r^2[/tex], r is the radius
remember radius is from the center to the edge, so it is half the diameter
now we need to find the area of the large circle (table) minus the small circle (hole)
the radius of the large circle is 48/2 which is 24
the area is [tex]\pi 24^2[/tex] replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64
the radius of the small circle is 4/2 which is 2
the area is [tex]\pi 2^2[/tex] so the calculated value would be 12.56
now subtract the area of the hole (small circle) from the area of the table (large circle)
1808.64 - 12.56 = 1796.08
and there's your answer
hope that helps, lmk if it doesn't :)
Answer:
Step-by-step explanation:
r₁ = radius of tabletop = 24 in
r₂ = radius of hole = 2 in
area of hole = πr₂² = 4π in²
area of tabletop = πr₁² - πr₂² = 576π - 4π = 572π ≈ 1796.08 in²
Brett is filling up his swimming pool. It is a cylindrical shape. How many
cubic meters of water will it take to fill the pool to a height of 1.2 meters if
the pool has a diameter of 4.5 meters?
Answers
Answer:
Step-by-step explanation:
height h=1.2 m
radius r= D/2=4.5=2.25 m
Volume V=πr²h=π(2.25)²×1.2 ≈3.18m³
Evaluate the equation: 1/2*4√2*6√2
Answers
Hope this helps
Sarah can wrap 44 presents in 4 hours. How many present can she wrap in 7 hours.
Answers
Answer:
77
Step-by-step explanation:
44÷4=11 she wraps 11 presents in one hour so 11×7=77 so she wraps 77 presentS in 7 hours
Answer:
77
Step-by-step explanation:
First we have to find the unit rate. So we divde 44 by 4 and get 11. To find how any presents she can wrap in 7 hours, we multiply 7 by 11 to get 77. So, she can wrap 77 presents in 7 hours.
What are the numbers less than -7 and greater than -15?
Answers
Answer:
-8,-9,-10,-11,-12,-13
Step-by-step explanation:
What is an equation of the line that is parallel to y=-5x+6 and passed through the point (-4,-1)
Answers
Answer:y=-5x-21
Step-by-step explanation:\
y=mx+b
-1=-5(-4)+b
-1=20+b Subtract 20 from each side
-21=b
The equation is y=-5x-21
Find the value of x. Round to the nearest tenth.
Answers
Answer:
i believe it is
Step-by-step explanation:
a 10.7
Answer: c
Step-by-step explanation:
we can use process of elimination because the side that x is on is bigger than the opposite side so there fore it is c
What is the length of leg s of the triangle below?
Answers
Answer:
d
Step-by-step explanation:
x them up
Please help me and explain the solution, my mom is going to give away my cat if I don't pass this.
Answers
Answer:
45
Step-by-step explanation:
Identify the slope and y-intercept of the function y = 4x - 9. O A. The slope is -9. The yintercept is (0,4). B. The slope is 4. The y-intercept is (0, -9). C. The slope is 9. The yintercept is (0,4). O D. The slope is 4. The y-intercept is (0,9).
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. The slope is 4. The y-intercept is (0, -9).
Step-by-step explanation:
i took it on A P E X
In a survey of music preferences, 81 out of 450 students said that they preferred country music. What % of the students preferred country?
Answers
Answer:
18
Step-by-step explanation:
82/450
Then ×100
and get 18
Can someone please help me I really need this I will give Brainleasit
Answers
Answer:
Exercise 2.
He spent $9.
Exercise 3.
2, 4, 6, 8, 10.
Answer: 2. 9
3. 7 9 11 13 15
Step-by-step explanation:
HELP ASAP DUE IN 4 MINS. Pablo will spend at most $34 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Pablo will spend.
Write your answer as an inequality solved for c.
Answers
Answer:
c> 34-19
Step-by-step explanation:
C> 15
Which statements descrībe the function fo) =3(3)? Check all that apply
Answers
Answer:
?
Step-by-step explanation:
a woman is three times as old as her daughter six years ago the sum of their ages was 36 find the age of the daughter
Answers
Answer:
12 hope this helps
Step-by-step explanation:
The triangle below is isosceles.
Answers
Answer:
BC = 20 units
Step-by-step explanation:
if ∡C = ∡B then 2x + 16 = 7x + 6
16 = 5x + 6
10 = 5x
x = 2
BC = 2(2) + 16, which is 20
Paul has 15 T-shirts. 5 black, 3 white, 3 red, 2 dark blue, 1 light blue, 1 yellow b) What is the probability that the T-shirt will not be black?
Answers
Answer:
10/15 or 2/3 or 67%
Step-by-step explanation:
Kara runs two laps around a track. It takes her 51.495 seconds to complete her first lap and between 53 and 54 seconds to complete her second lap. Her total time for both laps is a whole number of seconds. How long, in seconds, does Kara take to complete her second lap?
Answers
Answer:
I believe the answer is 53.505 seconds.
Answer:
53/505
Step-by-step explanation:
Remark
You know that the time must be 53. something for the second lap. If the total of the first and second lap is a whole number, then all you need do is add something to 0.495 to get a whole number.
Method
What you have to do is add 1 - 0.495 to get the decimal to add to 53.
1 - 0.495 = 0.505 which will give you a whole number.
Answer
The answer then is 53.505
Check
51.495
53.505
105.000 seconds total
A cat eats 1/2 cup of food a day. Which equation represents
how much food it eats over time?
Y= 1/2x
Y=-2x
Y= 2x
Y=-1/2x
Answers
Answer:
Y = 1/2x
Step-by-step explanation:
x is the amount of cups the cat eats so if it eats 1/2 cup of food each da it would be 1/2x
Kim was asked to explain to her friends how to solve 3x? - 2x = 1. She will be using the quadratic formula. What would be the first step?
Answers
24/5x=-11/4
this confusing
Answers
Answer:
1 Simplify \frac{24}{5}x
5
24
x to \frac{24x}{5}
5
24x
.
\frac{24x}{5}=-\frac{11}{4}
5
24x
=−
4
11
2 Multiply both sides by 55.
24x=-\frac{11}{4}\times 5
24x=−
4
11
×5
3 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}
b
a
×c=
b
ac
.
24x=-\frac{11\times 5}{4}
24x=−
4
11×5
4 Simplify 11\times 511×5 to 5555.
24x=-\frac{55}{4}
24x=−
4
55
5 Divide both sides by 2424.
x=-\frac{\frac{55}{4}}{24}
x=−
24
4
55
6 Simplify \frac{\frac{55}{4}}{24}
24
4
55
to \frac{55}{4\times 24}
4×24
55
.
x=-\frac{55}{4\times 24}
x=−
4×24
55
7 Simplify 4\times 244×24 to 9696.
x=-\frac{55}{96}
x=−
96
55
Step-by-step explanation:
Heya!
[tex] \star \underline{ \underline{ \large{ \text { {Question}}}}} : [/tex] In the given figure , PQRS is a rhombus and SRM is an equilateral triangle. If SN [tex] \perp[/tex] RM and [tex] \angle[/tex] PRS = 55° , find the size of [tex] \angle[/tex] QSN.
~Thanks in advance!
Answers
Answer:
[tex]m\angle QSN=65^\circ[/tex]
Step-by-step explanation:
In the given figure, PQRS is a rhombus and SRM is an equilateral triangle.
We are also given that SN⊥RM and that ∠PRS = 55°.
And we want to find the measure of ∠QSN.
Remember that since PQRS is a rhombus, the angles formed by its diagonals are right angles. Let the intersection point of the diagonals be K. Therefore:
[tex]m\angle RKS=90^\circ[/tex]
Now, RKS is also a triangle. The interior angles of all triangles must be 180. Thus:
[tex]m\angle RKS+m\angle KSR+m\angle SRK=180[/tex]
Substitute in known values:
[tex]90+55+m\angle KSR=180[/tex]
Solve for ∠KSR:
[tex]m\angle KSR+145=180\Rightarrow m\angle KSR=35^\circ[/tex]
Since SRM is an equilateral triangle, this means that:
[tex]m\angle SRM=m\angle RMS=m\angle MSR=60^\circ[/tex]
Note that RNS is also a triangle. Therefore:
[tex]m\angle SRM+m\angle RNS+m\angle NSR=180[/tex]
Substitute in known values:
[tex]60+90+m\angle NSR=180[/tex]
So:
[tex]m\angle NSR+150=180\Rightarrow m\angle NSR=30^\circ[/tex]
∠QSN is the addition of the two angles:
[tex]m\angle QSN=m\angle KSR+m\angle NSR[/tex]
Therefore:
[tex]m\angle QSN=35+30=65^\circ[/tex]
Answer:
[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]
Step-by-step explanation:
we are given a rombus and an equilateral triangle and [tex]\angle PRS[/tex]
said to figure out [tex]\angle QSN[/tex]
we know that
every angle of an equilateral triangle is 60°
so
[tex]\displaystyle \angle SRM[/tex] should be 60°
the point where two diagonals of triangle intercept be x
recall the diagonals of a rhombus intercept each other at right angles
so [tex]\displaystyle \angle SXR [/tex] should be 90°
we are also given SN [tex] \displaystyle \perp[/tex] RM
so [tex]\displaystyle\angle RNS[/tex] should be 90°
notice that SXRN is a quadrilateral
so the sum of its interior angles is 360°
according to the question
[tex] \displaystyle\sf\angle RNS + \angle SXR + \angle PRM + \angle \: QSN = 360[/tex]
substitute the value of [tex]\angle RNS,\angle SXR\: and \: \angle PRM[/tex]
[tex] \displaystyle\sf {90}^{ \circ} + {90}^{ \circ} + {115}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle\sf {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} [/tex]
cancel 295 from both sides:
[tex] \displaystyle\sf {295}^{ \circ} - {295}^{ \circ} + \angle \: QSN = {360}^{ \circ} - {295}^{ \circ} [/tex]
hence
[tex] \displaystyle\sf \angle \: QSN = {65}^{ \circ} [/tex]
Check out this rectangular prism: Find the surface area of the rectangular prism (above) using its net (below).
Answers
Answer:
Please tell me more
Step-by-step explanation:
Solve the system: 8x + 2y = 16 and x = y + 2 *
Answers
Answer:
x=2 y=0
Step-by-step explanation: