Answer:
3.5
Step-by-step explanation:
35% is only 0.35
Answer:
3.5
Step-by-step explanation:
The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.
Set up the system of equations and solve for how old Jan and George are now.
Answer:
J - Age of Jan
G - Age of George
J + G = 65
J+10 = 4(G+10)
Step-by-step explanation:
PLEASE HELP I HAVE A TIMER
In the diagram, the measure of angle 1 is (3x)°, and the measure of angle 2 is (12x)°
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
36°
45°
135°
144°
Answer:
144 degrees.
Step-by-step explanation:
Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.
After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.
First, before we get to the angle of 4, we have to find the value of x:
1) angle 1 + angle 2 = 180
3x + 12x = 180
2) solve the above equation for x
15x = 180
3) divide both sides by 15 for x
x= 12 degrees
We know that angle 4 is the same as angle 2, which is 12x degrees.
So, now that we know what x is, 12 x 12 degrees = 144 degrees.
Hope this helped : )
The measure of angle ∠4 is 144°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The measure of angle 1 = ( 3x )°
The measure of angle 2 = ( 12x )°
Angle 1 and Angle 2 are on the straight lines
So , the sum of the measures of angles = 180°
On simplifying the equation , we get
3x + 12x = 180
15x = 180
Divide by 15 on both sides of the equation , we get
x = 12
Substituting the value of x in the equation , we get
The measure of angle 2 = measure of angle 4 ( corresponding angles )
So , the measure of angle 4 = ( 12x )°
And , the measure of angle ∠4 = 144°
Hence , the angle ∠4 = 144°
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The net of a prism is shown.
4 ft
5 ft
4 ft
5 ft
6 ft
3 ft 1
4 ft
5 ft
What is the surface area of the prism?
Answer:
Step-by-step explanation:
surface area=4×5+2×1/2×3×4+5×5+3×6
=20+12+25+18
=75
Which situation results in a final value of zero ?
a. The temperature after a decrease of 5 degrees from a temperature of -5 degrees .
b. The height of an airplane after taking off from ground level and rising 1,000 feet.
c.The amount of money received in change after making a $10 purchase with a $20 bill.
d. The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.
Answer:
d
Step-by-step explanation:
because what is 24 meters- 24meters=0
Solve the following equation. Then place the correct number in the box provided. 7x/15-1=22
x=?
Answer:
44
Step-by-step explanation:
First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:
x/14
7 * (x/14)
eventually you get
(x-22)/2 =0
from there you can solve for 44
Identify an equation in point-slope form for the line parallel to y -
passes through (4.-5).
*+ 8 that
O A. y-5--3(x+4
O B. y-t-ix+5)
O C. y+5=(x-4)
O D. y-5--3(x-4)
SUBMIT
Helppp
Use the distributive property to factor out y.
5y-3y + 12
The new expression becomes
O By+ 12
0-2y+ 12
0 2y+ 12
O 147
________________________________
5y-3y+12
=2y+12
So the new expression becomes 2y+12
hope it helps
Good luck on your assignment
________________________________
Answer:
2y+12
Step-by-step explanation:
student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 centimeters, and the length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer = 42.8
Step-by-step explanation:
All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle
Could someone help what is the variable in “8y3”?
Answer:
y
Step-by-step explanation:
The variable in 8y^3 is y because a variable is a number that we don't know yet, and that is the only one.
Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°
Answer: a
Step-by-step explanation:
Answer:
121
Step-by-step explanation:
The exterior angle measurement is equal to the sum of the opposite interior angles
34+ 87 = z
121 = z
Express 84 as a product of prime factors
Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5
Answer:
a1 = 0.5; common ratio = 5
Step-by-step explanation:
Let the common ratio = r
a2 = 2.5
a3 = 2.5r
a4 = 2.5r * r = 2.5r^2
We are told a4 = 62.5, so
2.5r^2 = 62.5
Divide both sides by 2.5
r^2 = 25
r = 5
a2 = a1 * r
a1 = a2/r = 2.5/5 = 0.5
Answer: a1 = 0.5; common ratio = 5
Lucas weighs 78kg. Convert his weight to pounds. Round to the nearest pound.
Answer:
He weighs 172 pounds
Step-by-step explanation:
you can look up conversions like this on google and it will give you the exact weight and everything!
After converting Lucas's weight of 78 kg is 171.192 pounds
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 km = 1000 m
We have,
78 kg
Now,
1 kg = 2.204 pounds
Multiply 78 on both sides.
78 kg = 78 x 2.204 pounds
78 kg = 171.912 pounds
Thus,
78 kg is 171.912 pounds
Learn more about unit conversion here:
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Can someone help me out?
Answer:
see explanation
Step-by-step explanation:
15
The x- coordinate of E is the same as the vertex F
The y- coordinate of E is the same as the vertex G
E = (b, c )
The x- coordinate of D is the same as vertex G
The y- coordinate of D is the same as vertex F
D = (a, 0 )
16
The x - axis is an axis of symmetry in the rhombus , thus
D is a reflection of B so D = (0, b )
The y- axis is an axis of symmetry in the rhombus, thus
E is a reflection of C so E = (a, 0 )
Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)
Answer:
work is shown and pictured
Answer:
(4x + 5)(4x + 5)
Step-by-step explanation:
Took test.
Want a more in-depth explanation? Try visiting the Math Nation site.
Choose the equation for the graph
below.
x+1
x-2
2x-3
a. y =
b.y =
X-4
3-X
c. y =
x+2
d.y=
e. y =
2x+4
x-1
x+4
Answer:
B. y=(2x-3)/(x-4)
Step-by-step explanation:
Find the asymptotes.
Vertical Asymptotes:
x = 4
Horizontal Asymptotes:
y = 2
No Oblique Asymptotes.
The graph.
What are the zeroes of f(x) = x2 − 6x + 8? (1 point) x = −4, 2 x = −4, −2 x = 4, 2 x = 4, −2
Answer:
x = 4 , 2
Step-by-step explanation:
x² - 6x + 8=0
(x -2)(x + 4)=0
x= 4,2
Therefore the zeros of f(x) are 4 and 2.
Hope this helps.
AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest
Answer:
X=42
Step-by-step explanation:
AB and BC make a right angle
So, 24°+x+24° =90°
48°+x=90°
X=90°-48°
X=42
______________________________
Answers:a. 42 degree.
b.i. q=135 degree( being vertically opposite angles)
j=135 degree( being corresponding angles)
b.ii. 225
Step by step explanation:a. 24+X+24=90[ sum of complementary angles]
or, 48+X=90
or,X= 90-48
X=42 degree
b.i. q=135 degree( being vertically opposite angles)
Vertically angles are always equal to each other.
j=135 degree( being corresponding angles)
Corresponding angles are always equal to each other.
b.ii. p+135=180[ sum of angle in straight line]
or,p= 180-135
p=45 degree.
q= 135 degree[ being vertically opposite angles]
r=p[being vertically opposite angles]
r=45 degree
Now,
p+q+r
= 45+135+45
=225 degree
Hope it helps
Good luck on your assignment
__________________________________
What is the product?
pls help dis is timed :(
Answer: I think is c
Step-by-step explanation:
3. At Windy Pines Summer Camp, there are 255 campers
and 30 counselors. Express the ratio of counselors to
campers as a fraction in simplest form. Explain its
meaning.
Answer:
15:2; there are 2 counselors to every 15 campers
Step-by-step explanation:
what is the value of x?
Answer:
x = 3 will be the answer.
Step-by-step explanation:
From right triangle ABC,
By applying Sine rule,
Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}[/tex] = [tex]\frac{BC}{6\sqrt{2}}[/tex]
BC = 6 units
Now from right triangle BCD,
By applying Cosine rule,
Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]
[tex]\frac{1}{2}=\frac{x}{6}[/tex]
x = [tex]\frac{6}{2}[/tex]
x = 3
Pls help for the love of yeetus deleteus
Answer:
C 6 yd by 7 yb
Step-by-step explanation:
Answer: De ansa is A m African sista.
Step-by-step explanation:
What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)
2x +3y=3
7x-3y=24
solve the above equations
2x+3y=3
+7x-3y=24
9x=27
x=27/9
x=3
substitute the value of x in 2x+3y=3
2(3)+3y=3
6+3y=3
3y=3-6
3y=-3
y=-3/3
y=-1
so the solution is
{x=3,y=-1}
Answer:
C : (3, -1)
Step-by-step explanation:
plz plz will mark bianleast
Reflect point B across the x-axis.
What are the coordinates of point B'?
(2, 2)
(2, –2)
(–2, 2)
(–2, –2)
Answer:
(2, -2)
Step-by-step explanation:
Go along the x line to under point B (2) and then go up the y line to across form point B (2) then reflect it so (2, -2)
Answer:
(2,-2)
Step-by-step explanation:
when you reflect from b you two down to the x axis and the do it again. you will get your coordinates
Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?
Answer:
7
Step-by-step explanation:
10-3=7
Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).
Answer:
cos (α + β) = 0.9196Step-by-step explanation:
Given sin α = –4∕5 and sin β = 1∕2
To get α from sin α = –4∕5,
α = arcsin(-4/5)
α = arcsin (-0.8)
α = -53.13°
If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)
Similarly for sin β = 1∕2
β = arcsin(1/2)
β = arcsin(0.5)
β = 30°
Since β is in quadrant II, β = 180-30 = 150°
To find cos (α + β). where α = 233.13° and β = 30°
cos (α + β)= cos (233.13 + 150)
= cos 383.13°
cos (α + β) = 0.9196
Which value for x makes the sentence true?
3/4x + 4 += 7
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Answer:
[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Step-by-step explanation:
If a line passing through two points, then the equation of line is
[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the passing through (1,3) and (-9,-2). So, equation of line in point slope form is
[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Now,
[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Answer:
The Answer is C
Step-by-step explanation:
i think This is correct
HELP ME OUT ON THIS ONE ‘
Answer:
180 degrees rotation
Step-by-step explanation:
you take the. values of the object and multiply by -1 to obtain the values of the image
Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.
Answer:
The correct option is (B)
(B) x-y = 6 , 3x+4y = 4
Step-by-step explanation:
As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:
Find the values of x and y for (B);
x - y = 6 ⇒ (i)
3x + 4y = 4 ⇒ (ii)
Lets consider equation (i)
x - y = 6
x = 6 + y
Substitute in equation (ii)
3(6+y) + 4y = 4
18 + 3y + 4y = 4
7y = -14
y = -2
Substitute in equation (i)
x - (-2) = 6
x + 2 = 6
x = 6 - 2
x = 4
As solution of part C is also (4, -2), it represents the graph
You can also find the (x, y) for other options the similar way, which will show you they don't have the same value
Answer:
its B
Step-by-step explanation: