When you add all of these angles, the sum should be 180°. This helps us to figure out the value of the variable.
Now, you must create an equation.
3z+14+z+90=180
4z+14+90=180
4z+104=180
4z+104-104=180-104
4z=76
z=19
∴The value of the variable is 19.
To check:
3(19)+14+19+90
57+14+19+90
90+90
180
All of the angles together have a sum of 180 degrees, meaning that our value for the variable is indeed correct.
Hope this helps.
Answer:
z = 19
Step-by-step explanation:
These are complementary angles; both angles add up to 90°.
To solve this, we can combine like terms.
3z + (1)z + 14 = 90
3z + (1)z = 4z
**3z and z are the only pair of like terms.**
After combining like terms, we can proceed to solve this problem.
4z + 14 = 90.
Since there is an addition sign in front of 14, we do the opposite, subtraction.
First, subtract 14 from 90 and 14.
4z + 14 = 90
- 14 - 14
------------------
4z = 76
**ELIMINATE 14.**
Lastly, divide 76 from 4; this is because 4 is the coefficient.
4x = 76
76 ÷ 4 = 19
Therefore, z = 19.
Part A
Fill in the blanks to complete the sentence.
Zuri rides her bike 10 miles per hour on a biking trail. She starts at mile marker 2 and heads in the direction of mile marker 3. Each marker indicates a distance of 1 mile.
Part A
Complete the table to show the relation between the location of Zuri on the bike trail and time spent riding. Express your answers as whole numbers or decimals.
Time Riding (min) Mile Marker
0
15
30
45
60
Answer:
60
Step-by-step explanation:
If you are finding the space that a 2-dimensional object occupies, are you finding area or volume?
A. area
B. volume
For 2-dimensional object, you will find the area of the objects.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
You are finding the space that a 2-dimensional object occupies.
Now, We know that;
For 2 -dimensional object, we will find the area of the objects for finding the space that a 2-dimensional object occupies.
And, For 3 -dimensional object, we will find the volume of the objects for finding the space that a 2-dimensional object occupies.
Hence, For 2-dimensional object, you will find the area of the objects.
Learn more about the mathematical expression visit:
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Please help me ASAP thanks
Find the area of the figure. Round your answer to the nearest hundredth
Answer:
28.57 in²
Step-by-step explanation:
Okay, so the hearts tops area can be figured out with a regular circle area calculation.
A = π r² =
3.14 × 2 × 2=
6.28 × 2 ≈
12.566in ² .
So we could divided by two, but since the two half circles (the top of the hearts) are of the same size, we don't have to. So now we only have to figure out the area for the square. The radius shows us that one side of the square is equal to 4 in. So 4² or 4 × 4 = 16 in².
No all we do is add the areas: 12.566 + 16 = 28.566 in²
Now to round it: 28.566 in² ≈ 28.57 in²
Which of the following statements is NOT true?
A. All whole numbers are integers.
B. All natural numbers are whole numbers.
C. All integers are whole numbers.
D All fractions of form [tex]\frac{p}{q}[/tex], where p and q are integers and q [tex]\neq[/tex] 0, are rational numbers.
Answer:
C)All integers are whole numbers.Step-by-step explanation:
A)whole numbers are the numbers 0 to +∞ (not including fraction, numbers i.e 6.89 etc)
integers are the numbers -∞ to +∞ (not including fraction, decimal numbers i.e -5.57, 7.74 etc)
since integers are the numbers including whole numbers thus the statement is true
B)Natural numbers are the numbers 1 to +∞ (not including fraction, decimal numbers i.e 6.89 etc)whereas whole numbers are the numbers 0 to +∞ (not including fraction, numbers i.e 6.89 etc)
hence, the statement is true
C)All Whole numbers are integers but not all integers are whole numbers
therefore, the statement is not true
D)the given definition is the perfect definition of rational numbers
hence, the statement is true
⎆ [tex]\huge\underline{ \underline{ \text{Solution :-}}}[/tex]
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
╭⋟───────────────
A. All whole numbers are integers.
[tex]\boxed{True}[/tex]
➺ Whole numbers include numbers from 0 to above. Integers include all numbers (negative & positive ones). Hence, all whole numbers are integers.
____________________
B. All natural numbers are whole numbers.
[tex]\boxed{True}[/tex]
➺ As said above, whole numbers include numbers from 0 to above. Natural numbers on the other hand include numbers from +1 to above (right side of the number line). So, all natural numbers come under whole numbers.
____________________
C. All integers are whole numbers.
[tex]\boxed{False}[/tex]
➺ Integers include both negative & positive numbers while whole numbers only include numbers from 0 to above (right side of the number line). Since, negative numbers don't come under whole numbers, integers can't be categorised as whole numbers. •°• All integers are not whole numbers.....but all whole numbers are integers.
____________________
D. All fractions of form [tex]\frac{p}{q}[/tex], where p and q are integers and q [tex]\neq[/tex] 0, are rational numbers.
[tex]\boxed{True}[/tex]
➺ This is the definition of rational numbers. All fractions are under rational numbers, so this definition stands true for fractions as well.
____________________
[tex]\large\underbrace{ \overbrace{ \mathfrak{Answer}}}[/tex]
⟹ So, the statement which doesn't match or is NOT true will be ➳ C. All integers are whole numbers.
⁺˚*・༓☾✧.* ☽༓・*˚⁺‧
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Combine like terms to find the equivalent expression of 5 y minus 3 y + 12.
The new expression becomes
8 y + 12.
Negative 2 y + 12.
2 y + 12.
14 y.
Answer:
2y+12 c on edg
Step-by-step explanation:
The answer is /C/
/3/
"2y + 12"
You're Welcome!
PS: I wanted to give more credit to the first person for answering,
you're amazing!
A solid is sliced parallel to its base. Which solid will form a circle when sliced parallel to its base?
A: rectangle
B: Square
C: pyramid
D: cone
Answer:
D
Step-by-step explanation:
A cone's base is a circle, slicing the solid parallel to the base would create a smaller circle above.
help
What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base.
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Answer:
Step-by-step explanation:
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces., therefore the difference would be that they have a different number of faces because the rectangular one has 3 faces and the triangular one has 4
Based on signal strength, a person knows their lost phone is exactly 47 feet from the nearest cell tower. The person is currently standing 23 feet from the same cell tower. What is the closest the phone could be to the person?
=========================================================
Explanation:
It might help to draw out a diagram. Refer to the image below. Point A is the cell tower location. Point B is where the person is located. This is a birds eye view. Point B is on the smaller circle of radius 23 ft. The cellphone, which has unknown location, is somewhere on the larger circle of radius 47 ft.
The best case scenario is that the phone is on ray AB, which would make the phone to be 47-23 = 24 ft away from the person. This is the closest the phone could be.
------------------
Extra info:
On the flip side, the worst case scenario is that the phone is on the diametrically opposite side. This would mean the distance from the phone to the person is 47+23 = 70 ft. So the range of possible distances d is [tex]24 \le d \le 70[/tex]
A standard fire hose is 50 feet long. What is the length of the hose in yards and feet?
(1 yard = 3 feet)
(P.S I just need a reminder, I am taking a review test.)
The number of yards in 50 feet of the standard fire hose will be 16.67 yards.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A standard fire hose is 50 feet long.
The conversion formula is given below.
1 yard = 3 feet
The number of yards in 50 feet is calculated as,
⇒ 50 / 3
⇒ 16.67 yards
More about the conversion link is given below.
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20 points for first person to answer
Answer:
3, 4 and 5
Step-by-step explanation:
The total number of marbles Janae, Jerome and Gwen have is m + m + 4(m + 2).
m + m + 4(m + 2)
= 2m + 4m + 8
= 6m + 8
The problem says that the total number of marbles Janae, Jerome and Gwen have is less than the number of marbles John has, so that means 6m + 8 is less than 8m + 4
6m + 8 < 8m + 4.
(6m + 8) - 4 < (8m + 4) - 4
6m + 4 < 8m
4 < 8m - 6m
4 < 2m
1 and 2 aren't valid so the answer is 3, 4 and 5.
Which measure of center is the most appropriate for the data in Table 2 (Weight)? Give a reason for your answer.
Answer:
Mean
Step-by-step explanation:
Similar figures review 2
Answer:
a) 48.28 inches
b) 12.5
c) 7.2 cm
d) 16
Hope It Helps!
Please Mark Me Brainliest!
a) 48.28 inches
b) 12.5
c) 7.2 cm
d) 16
Ashley tutors English. For each hour that she tutors, she earns 20 dollars.
Let 'E' be her earnings (in dollars) after tutoring for 'H' hours.
Write an equation relating 'E' to 'H'. Then use this equation to find Ashley's earnings after tutoring for 13 hours.
(this is 6th grade math) please help whats the equation for this?
Answer:
t=100-s
Step-by-step explanation:
Since we know T as the total amount, we need to figure out how much was spent from the $100 Julie has. She can't gain more money magically so you have to take away from the 100. The amount taken away is the S (a.k.a- how much was SPENT). After putting that together, you get t=100-s.
hope this helps!!
find three consecutive integers whose sum is -54 show work please
Answer:
it would be positive 54
Step-by-step explanation:
Pls do not think my answer is correct im just guessing
Step-by-step explanation:
• let x be the consecutive integer• x + (x+1 )+(x+2)= -54 so we have three x's and the sum of 2 and 1 =3
=> 3x+3=-54
=> 3x=-54-3
=> 3x=-57 divide -57 for 3
=> x=-19
=> x+1= -19+1 = -18
=> x+2= -19+2=-17
there fore the three consecutive integers are -19,-18,-17
check-19+-18+-17=-54
what operation is this equation ??
Use the drop-down menus to complete the statements to match the information shown by the graph.
A graph has time (years) on the x-axis, and height (feet) on the y-axis. A line labeled redwood starts at (0, 0) and has positive slope. A line labeled poplar starts at (0, 0) and has greater positive slope than redwood.
Poplar trees grow
redwood trees per year because the
of the graph for poplar trees is
that of the graph for redwood trees.
The
of the graph tells you the unit rate in
.
Please Help!!!
Answer:
I can't understand yr question man...........
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinate plane, a circle is centered around (0, 0).
A. The graph is not a function of x because the line x = 0 intersects the graph at two B.points. The graph is a function of x because the line x = 5 does not intersect the graph.
C.The graph is not a function of x because the line y = 0 intersects the graph at two points.
D.The graph is a function of x because the line y = 5 does not intersect the graph.
Plzzzzzz help will mark brainliest plz plz plz plz plz help help help help me me me me me i'm begging i don't want to fail plz plz plz plz help me me me i'm begging plz plz plz plz plz plz plz plz
Answer:
If something is a function, every x-value, only has one (1) y-value. If the line x = 0 intersects the graph in two points, there are to values for y (instead of one). Therefore the graph is not a function of x.
Your answer is A.
Step-by-step explanation:
Find the composite area in square feet. Write your answer as a number only. Your answer will be a whole number.
(this is 6th grade math) PLEASE HELP
Answer:
-6n + 12
-4n - 32
-19n + 20
10n - 50
Please tell me tell expression of "T" I cant tell what it is.
A music store rents instruments to students at the local middle school. Each trumpet rents for $10 a month and each drum rents for $5 a month. The monthly income is $100 and the total number of kids who rent instruments is 12. Write and solve a system of equations to find the number of trumpets rented () and the number of drums rented (y).
The temperature at 5 p.m. was −4 ∘F. The temperature rose 7 ∘F once the sun came up at 8 a.m. the next morning.
What was the temperature at 8 a.m. that morning?
Answer:
3 degrees F
Step-by-step explanation:
-4 + 7 = 3
The temperature at 5:00pm was -4°F. The temperature rose (it means adding) 7°F once the sun came up at 8:00am.
Write an addition expression.
(-4)+(+7)
-4+7
+3
(The answer is positive because it matches the sign of 7, the numerically larger number)
Therefore, the temperature was 3°F.
A city has an elevation of -17 meters closer to sea level than a city that has an elevation of -40 meters. Agree or Disagree? Why?
Answer:
Agree
Step-by-step explanation:
This is because -17 is closer to zero. -40 is farther away from zero. Zero is where the sea and the surface meet. Hence, -17 being the bigger number, and also being the number closer to zero.
Find the area of the triangle. Enter your answer in the box.
An obtuse triangle. The base of the triangle is fourteen millimeters. The long side of the triangle is twenty-seven millimeters. The height of the triangle is twelve millimeters.
84
Answer:
84ml²
Step-by-step explanation:
A = ½ x b x h
A = ½ x 14 x 12
A = 84ml²
Please help me! I will give brainly
Answer:
B. d=15h
Step-by-step explanation:
A fair six-sided die is rolled 54 times. Theoretically, about how many times should a roll of "3" occur?
Plz show the work part 2 fast
Answer:
24
Step-by-step explanation:
you find area of a triangle with equation:
[tex] \frac{1}{2} bh[/tex]
base: 6
height: 8
[tex] \frac{1}{2} (6)(8)[/tex]
[tex] \frac{1}{2} (48)[/tex]
area equals: 24
for the second photo
vertex would be at (1,-8)
this is because each vertex is in a different quadrant so you would need a negative y axis to form the rectangle
Which set of numbers includes only integers?
A.Negative 5, negative 3 and one-fourth, 1, one-eighth
B.Negative 3, negative 2, 2, 3
C.Negative 6, negative 4, negative 2, negative one-half
D.One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
Answer:
Gonggong answer munaman Yan ehh
The 3 angles of the triangle are given. What kind of triangle is this?
A. acute triangle
B. right triangle
C. obtuse triangle
D. isosceles triangle
Answer: Obtuse triangle
Step-by-step explanation:
Because one angle is more that 90 degrees