Answer:
The true statements are;
A. m∠6 = 55°
C. m∠1 + m∠4 = 250°
D. m∠1 + m∠6 = m∠7 + m∠4
Step-by-step explanation:
The given information are;
m∠7 = 55°
The angles formed by the transversal and the upper horizontal parallel line are (starting from the top left and moving in clockwise direction) = 1, 2, 4, 3
Similarly, the angles formed by the transversal and the lower horizontal parallel line are (starting from the top left and moving in clockwise direction) = 5, 6, 8, 7
Therefore, we have;
m∠7 ≅ m∠6 (Vertically opposite angles are congruent)
∴ m∠6 = m∠7 = 55°
m∠6 = 55° which corresponds with option A.
m∠5 + m∠6 = 180° (The sum of angles on a straight line)
∴ m∠5 = 180° - m∠6 = 180° - 55° = 125°
m∠5 = 125°
m∠1 ≅ m∠5 (Corresponding angles)
∴ m∠1 = m∠5 = 125°
m∠1 ≅ m∠4 (Vertically opposite angles)
∴ m∠1 = m∠4 = 125°
∴ m∠1 + m∠4 = 125° + 125° = 250°
m∠1 + m∠4 = 250° which corresponds with option C.
m∠1 ≅ m∠4 (Vertically opposite angles)
m∠6 ≅ m∠7 (Vertically opposite angles)
∴ m∠1 + m∠6 = m∠7 + m∠4 (Transitive property) which corresponds with option D.
Answer:
a,c and d
Step-by-step explanation:
What is the value of the expression 1/3^−5 ?
Answer:
243
Step-by-step explanation:
hope its right
It is possible to approximate the outside temperature based on how fast crickets are chirping. Suppose on a 50 degree day, you measure 52 chirps in a minute, and on a 74 degree day, you measure 148 chirps in a minute.
Solve the equation because I really need help
Answer:
No Solution
Step-by-step explanation:
P.E.M.D.A.S
4(x+5) = 21 + 4x
4x+20 = 21+4x
we would subtract 4 on both sides to isolate 4 by it self.
subtract 4x on both sides but when we do we get 0 for x
4x-4x + 40 = 21 + 4x-4x
we get 40 = 21
So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21
high hopes ^^
Barry
The distance between 4 and 17 is
Find the slope of a pipe that slopes down 1/3 inch per foot
Answer:
-1/36
Step-by-step explanation:
The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]
----------------------
We use a linear function to understand this question, which has equation given by:
[tex]y = mx + b[/tex]
The slope is m, which is the rate of change, that is, how much y changes when x changes by 1.In this problem, for each foot, the pipe slopes down [tex]\frac{1}{3}[/tex] of an inch. Thus, the slope is [tex]m = -\frac{1}{3}[/tex]A similar problem is given at https://brainly.com/question/18594541
Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4
Answer:
-9/4, -13/6,-2.1,-26/13
Answer:
-26/13, -13/6, -2.1, -9/4
Step-by-step explanation:
Sorry its from greatest to least
ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.
evalute a/b for a= -6 and b=-2
Answer:
3
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
a/b
a = -6
b = -2
Step 2: Substitute and Evaluate
-6/-2
3
PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?
Answer:
eighth graders
Step-by-step explanation:
Answer:eighth
Step-by-step explanation:
Henry sends his hawk with a message to his uncle. The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip. How far is Henry's uncle from Henry if the speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather?
Answer:
Distance between Henry and his uncle is 74.25km.
Step-by-step explanation:
Speed of Hawk with wind = 50+5
=55km/hr
Speed of Hawk against wind = 50-5
=45km/hr
we know that ,
[tex]Distance = speed \times time[/tex]
Let the distance between Henry and uncle is d,
According to the question ,
[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]
[tex]\frac{9d + 11d}{495} =3[/tex]
[tex]20d = 3\times 495[/tex]
[tex]d =\frac{3\times495}{20}[/tex]
d= 74.25km
Hence , the answer is 74.25km
The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.
What is speed?The distance covered in an hour is called speed. it is a scalar quantity.
What is relative speed?The concept of relative speed is used when two or more bodies moving with some speed are considered.
Henry sends his hawk with a message to his uncle.
The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.
We know the relation
[tex]\rm speed = \dfrac{distance }{time}[/tex]
Let the distance between Henry's uncle from Henry be x.
The time of the trip is during the traveling remains constant. That is
[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]
The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have
[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]
Then
[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]
Thus, the distance between Henry's uncle from Henry is 74.25 miles.
More about the speed link is given below.
https://brainly.com/question/862972
What is the product of 9,028 x 100,000 written in expanded form
Answer:
902,800,000
Step-by-step explanation:
902800000, is the product of 9,028 x 100,000.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
9,028 x 100,000
=902800000
Hence, 902800000, is the product of 9,028 x 100,000.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
What is 73+84=. On Saxon math
Answer:
157
Step-by-step explanation:
You just have to take 73+84, and here is the equation.
73+84=157
OR
First, add the numbers in the ones place.
3+4=7
Now you know that the ones place is 7, we find the tens place.
7+8=15
Since only a 1-digit number can fill up a place, we bring the one over to the hundreds place.
Hence, the answer 157.
I think #1 is wrong but i can't figure it out
Answer:
the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2
Step-by-step explanation:
the right one is 5x-y^2 divide 2
5x6-4^2 divide 2
5x6-16 divide 2
30-8
22
find the value of x in the figure shown.
(Hint: the sum of angle measures in any triangle is 180
2x-10
(4x-80)
4x-10
Answer:
28
Step-by-step explanation:
2x +4x +4x-10 -80-10
10x-100=180
10x=180+100
10x=280
10x/10=280/10
x=28
how much babysitting will i have to do if i make 5.50 an hour and the dress i want is 52.25 math Using double number line
Answer:
9,5 hrs
Step-by-step explanation:
PLS HELP ME 25 POINTS
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.
At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4
What is the y-intercept of the graph of the linear function?
Answer:
-6
Step-by-step explanation:
look at the y-axis (the vertical center line) where it passes through it is the intercept
Solve the equation using a graphical method.
t/3-1/2=t+3/9
Answer:
-1.25
Step-by-step explanation:
t÷3-1÷2 = t÷1+3÷9
2t-3÷6 = 9t+3=9
18t - 27 = 54 + 18
18t -54t = 18 + 27
-36t = 45
Divide through by -36
t = -1.25
what is the reciprocal of 5 3/7
Answer: 7/38
Step-by-step explanation:
So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)
Hope this helps!
What is the standard form of the number shown in this calculator display?
The calculator shows five point nine three e negative five
Answer:
The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.
Step-by-step explanation:
hope this helped ✨
How to estimate 5x179
Answer:
895
Step-by-step explanation:
if u need to estimate, multiple 5 by 180, and then subtract 5
A right triangle has hypotenuse with length 8 inches. If one leg is 5 inches long, how long is the other leg?
Using Pythagoras theorem,
[tex]\sf a^2 + b^2 = c^2[/tex]
Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.
Putting the given values:
[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]
Hence, the length of the other leg is,
[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]
using the definition of multiplication to explain why a box that is 5 inches high 4 inches wide and 3 inches long has a volume of 5• (3•4) cubic inches explain the parentheses in the expression 5•(3•4)
Given:
Height of box = 5 inches
Breadth (width) of box = 4 inches
Length of box = 3 inches
Volume of box = 5 • (3 • 4) cubic inches
To find:
The explanation for the parentheses in the expression 5•(3•4)
Solution:
We know that,
Volume of a box is
[tex]Volume = length \times breadth \times height[/tex]
Area of a rectangle is
[tex]Area = length \times width[/tex]
Now,
Volume of box = 5 • (3 • 4) cubic inches
In this expression, (3 • 4) represents the product of length and with of the box. So, it means represents area of the base of box and after multiplying the base area with height we get the volume of the box.
Therefore, the parentheses in the expression 5•(3•4) represents the base area of the box.
Can someone help me please
Answer:
The ratio is 6
Consider the table representing an exponential function.
The equation for this function is
f(x) =
Answer:
Its 8, and 0.5
Step-by-step explanation:
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Choose
is correct because 2 11 is a Choose... ya
decimal that can be expressed as a
Choose...
Answer:
Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.Step-by-step explanation:
The answer choices are:
Gus: 2.11 repeats because there are two 1s.Gus: 2.11 is a repeating decimal because it stops.Hannah: 2.11 is a rational number because it's a decimal.Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.The correct one is:
Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.when three or more numbers are multipiled the product is the same regardless of the order of the multiplicands
Answer:
Associative property of multiplication.
Step-by-step explanation:
what is the length of AC
Answer:
13
Step-by-step explanation:
count A up to C
Year 6 maths question