Answer:
His mileage will increase 3.3 miles to the gallon
Step-by-step explanation:
I WILL AWARD BRAINLIEST!! PLEASE HELP!!
Given: AC = AB, CD = DE
m∠ABC = 70°, m∠ ECB = 35°
Prove: DE ║BC
m∠ACB = m∠______, By reason ( Base angles theorem, Exterior Angle theorem, Supplementary angles, Vertical Angles theorem ) - choose one
Answer:
a)[tex]\angle ACB = \angle ABC[/tex] By Base angle theorem
b)DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles
Step-by-step explanation:
Given: AC = AB, CD = DE
∠ABC = 70°, m∠ ECB = 35°
Refer the attached figure
AB = AC
So, By Base angle theorem : if the sides of a triangle are congruent then the angles opposite these sides are congruent.
So, [tex]\angle ACB = \angle ABC[/tex]
So,[tex]\angle ACB = \angle ABC =70^{\circ[/tex] ----1
CD = DE
So, by Base theorem
[tex]\angle DCE = \angle DEC[/tex]
Let [tex]\angle DCE[/tex] be x
So,[tex]\angle DCE = \angle DEC[/tex]
[tex]\angle ACB= \angle DCE+\angle ECB = x+35[/tex]
Using 1
70 = x+35
35=x
[tex]\angle DCE = \angle DEC =35^{\circ}[/tex]
Now[tex]\angle DEC=\angle ECB=35^{\circ}[/tex]
So, DE||BC since[tex]\angle DEC=\angle ECB[/tex] and they are alternate interior angles
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis
court. It is also 282 feet longer than a tennis court.
How long is the foorball field?
How long is the tennis court?
Answer:
T=78 feet (Tennis court)
360 feet (Football Filed)
Step-by-step explanation:
4T+48 = T+282
The length of the football field is 360 feet.
The length of the tennis court is 78 feet.
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.
We have to given that;
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.
And, It is also 282 feet longer than a tennis court.
Let the length of the tennis court = x
So, The length of the football field = 48 + 4x
Here, The length of the football field is 282 feet longer than a tennis court.
So, We get;
⇒ 48 + 4x = 282 + x
⇒ 4x - x = 282 - 48
⇒ 3x = 234
⇒ x = 78
Thus, The length of the football field = 48 + 4x
= 48 + 4×78
= 48 + 312
= 360 feet
The length of the tennis court = x
= 78 feet
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Is the relation represented in this table a function? Helppp
RrrrrrrRawrrrr
RAWRRR
Answer:
nsbdhdhshsnsnsbdbxbxb
Step-by-step explanation:
bshdhdhdhdhd
You start at (3,-2). You move down 1 unit and up 3 units. Where do you end?
Answer:
3,0
Step-by-step explanation:
The y coordinate goes down one unit to -3, then up 3 units to 0.
expand and simplify (x-1)(x-3)
Answer:
x squared -3x-1x+4= x squared -4x+4
Solve the equation and enter the value of x below.
x + 29 = 49
X =
Answer:
x = 20
Step-by-step explanation:
x + 29 = 49
- 29 - 29
x=20
solve and graph the inequality: 8-4(x-1)
Answer:
-4
Step-by-step explanation:
4x=-1
4x/-1=-4
In the figure shown, t || X and k l w and m23 = 20° Choose the list which includes all of the other angles that measure 20°
1615
13 14
1\2
43
k
11 10
129
5 6
87
w
0 A 1
B. 1, 5, 7
C. 1. 14. 16
0 D. 1.5. 7. 9, 11, 14, 16
Answer:
D. 1, 5, 7, 9, 11, 14, 16
Step-by-step explanation:
The following angles has the same measure as <3 = 20°:
m<7 = m<3 (corresponding angles are congruent)
m<5 = m<3 (alternate interior angles are congruent)
m<1 = m<3 (vertical angles are congruent)
m<14 = m<3 (corresponding angles are congruent)
m<16 = m<3 (alternate exterior angles are congruent)
m<9 = m<14 = m<3 (corresponding angles are congruent)
m<11 = m<9 = m<3 (vertical angles theorem and corresponding angles theorem)
Therefore, angles labelled D. 1, 5, 7, 9, 11, 14, and 16 all have the measure of 20°.
On Monday, Jason ran x miles. On Tuesday, he ran 5 fewer miles than on Monday. The total number of miles Jason ran over these two days can be found using 2x−5 .
What does the "2" represent in the expression 2x−5 ?
the number of miles Jason ran on Tuesday
how many fewer miles Jason ran on Tuesday
the total number of miles ran
the number of days
Answer:
The number of days
Step-by-step explanation:
-40-2(3m+1/2)=7m-2 what does m equal
Answer: [tex]m[/tex] = −3
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Expand.
−40 − 6[tex]m[/tex] − 1 = 7[tex]m[/tex] − 2
Step 2: Simplify −40 − 6[tex]m[/tex] − 1 to −6[tex]m[/tex] − 41.
−6[tex]m[/tex] − 41 = 7[tex]m[/tex] − 2
Step 3: Add 6[tex]m[/tex] to both sides.
−41 = 7[tex]m[/tex] − 2 + 6[tex]m[/tex]
Step 4: Simplify 7[tex]m[/tex] − 2 + 6[tex]m[/tex] to 13[tex]m[/tex] − 2.
−41 = 13[tex]m[/tex] − 2
Step 5: Add 2 to both sides
−41 + 2 = 13[tex]m[/tex]
Step 6: Simplify −41 + 2 to −39.
−39 = 13[tex]m[/tex]
Step 7: Divide both sides by 13.
−[tex]\frac{39}{13}[/tex] = [tex]m[/tex]
Step 8: Simplify [tex]\frac{39}{13}[/tex] to 3.
−3 = m
Step 9: Switch sides.
[tex]m[/tex] = −3
~I hope I helped you! :)~
Need help with this problem
Answer:
y = -3x + 8
I've done the steps in the photo
Hope it helps (｡･ω･｡)
Answer:
y = - 3x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 16) and (x₂, y₂ ) = (1, 5)
m = [tex]\frac{5+16}{1-8}[/tex] = [tex]\frac{21}{-7}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 5 ) , then
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = - 3x + 8 ← equation of line
In the garden, there were 15 red flowers, 5 blue flowers and 2 yellow flowers. What percent of the flowers were red?
Answer:
68.2
Hope this helps. :)
Answer:
I believe it would be 65?
Step-by-step explanation:
if if I divide 22 by 100 I will get 2.2.
And at 5 + 2 that means if you combine the blue flowers and yellow flowers you will get $7 in total.
And there's 15 red flowers 7 is kind 40 of 15 which is 100 because. 8+7=15 .
And for 15 to be completely split in half it would have to be 7.5.
But that's not how it works so if we put 8 & 7 into percents 8 would be 65 and 7 would be 35
which is the equation of a line that has a slope of 1/2 and passes through point (2,-3)
Answer:
y = (1/2)x - 4
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
-3 = (1/2)(2) + b
-3 = 1 + b
b = -4
y = (1/2)x - 4
One-fourth of a number is 22. Find the number.
Answer:
5.50
Step-by-step explanation:
I am smart
A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has how many seats
Answer:
The equation x + (2 x + 40) + (3 x - 50) = 15,002 represents this scenario suitable.
Step-by-step explanation:
Hope it helps :)
I know I'm answering all your questions it's just bc I'm bored
whats 8989898 x 675 lol
Answer: 6068181150 lol
Step-by-step explanation:
9998799098
Step-by-step explanation:
idrk
If neither a nor bare equal to zero, which answer most accurately describes the product of (a + b)(a - b)?
Answer:
a² - b²
Step-by-step explanation:
We can recognize (a + b)(a - b) as a difference of squares.
Step 1: Write expression
(a + b)(a - b)
Step 2: FOIL (Expand)
a² - ab + ab - b²
Step 3: Combine like terms
a² - b²
230.071 in expanded form
200+30+0+0.70+0.01
Hope it's right
Answer:
Expanded Notation Form:
200
+ 30
+ 0
+ 0.0
+ 0.07
+ 0.001
Expanded Factors Form:
2 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 7 × 0.01
+ 1 × 0.001
Expanded Exponential Form:
2 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 7 × 10-2
+ 1 × 10-3
Word Form:
two hundred thirty and seventy-one thousandths
Step-by-step explanation:
What is the result when 4x3 + 4x² + 13x + 6 is divided by 2x + 1?
Answer:
2x^2+x+6
Step-by-step explanation:
if the 4x3 meant 4x^3, then im pretty sure this is the correct answer
for a walkathon a sponsor committed to give you a flat fee $5 plus $2 for every mile m you walk.
A.write an expression for the total amount you will collect from your sponsor at the end of the walkathon
B. then evaluate your expression for 20 miles walked
How do you write 31 billon in scientific notation
Answer:
3.10E+10 (3.10 x 10 10)
Step-by-step explanation:
What is 9% of 31? Do not round, write the exact amount
Answer:
2.79
Step-by-step explanation:
Convert the standard form quadratic equtaion y= x2 + 4x + 2 to vertex form.
A) y= 2 (X - 5)2 + 1
B) y= (x + 2)2-2
C) y=(x - 2)2-5
D) y= 5x - 2
Answer:
B
Step-by-step explanation:
Write 3/4 cup per 1/2 serving as a unit rate
Answer: Unit rate = 1 1/2 cups per serving
Step-by-step explanation:
1/2 serving has = 3/4 cup
1 serving will have = 3/4 1/2 = 3/4 x 2/1 = 6/4 = 6 ÷ 2/ 4 ÷ 2 = 3/2 = 1 1/2cups
I NEED HELP RIGHT NOW!!! PLEASE!
what is the value of 5 in 0.459
Answer:
Place value= hundreds place
or, 0.05
Find the domain of the function expressed by the formula: y=x²+8
Please help ASAP.
Answer:
x is all real numbers.
Step-by-step explanation:
The domain of a function is a set of all real numbers.
The lowest temperature on Mars can reach –140°C while the highest temperature can be 20°C. What is the difference between the highest and lowest temperatures on Mars?
1. The video store rented 42 videotapes on
Monday, 35 on Tuesday, 51 on
Wednesday, and 32 on Thursday. What
was the average number of videotapes
initially rented per day from Monday to
Thursday if all were one-day rentals?
A. 37
B. 38
C. 40
E. 54
Answer:
C. 40
Step-by-step explanation:
average = (42 + 35 + 51 + 32)/4 = 40
Answer: C. 40
What property is this an example of ... 56 + 82 = 82 + 56?
Answer:
Inverse equations
Step-by-step explanation:
Answer: Commutative Property
Step-by-step explanation:
a + b = b + a