Problem 1
Answer: x = 9
----------
Explanation:
For now focus on triangle DEF. We need to find the missing angle D.
D+E+F = 180
D+71+42 = 180
D+113 = 180
D = 180-113
D = 67
In order for DE to be parallel to GH, the alternate interior angles EDF and GHF must be congruent
Let's see what happens when we force them to be equal
angle EDF = angle GHF
67 = 5x+22
67-22 = 5x
45 = 5x
5x = 45
x = 45/5
x = 9
==========================================
Problem 2
Answers:
Converse: "if it is winter, then it is snowing"
Inverse: "If it is not snowing, then it is not winter"
Contrapositive: "If it is not winter, then it is not snowing"
----------
Explanation:
The original conditional is in the form "If P, then Q". The P and Q are placeholders for logical statements.
We then have the following forms
converse = "if Q, then P" (swap P and Q)inverse = "If not P, then not Q" (negate each)contrapositive = "If not Q, then not P" (do both inverse and converse operations)==========================================
Problem 3
Answer: choice B) "If the sum of two angles is not 180 degrees, then they aren't supplementary"
----------
Explanation:
Refer to problem 2 for the general form of the inverse. We negate each of the P and Q to get our final answer.
==========================================
Problem 4
Answer: Choice C) "If I do not need an umbrella, then it is not raining"
----------
Explanation:
Refer to problem 2 for the general form of the contrapositive. We swap P and Q, and negate each.
==========================================
Problem 5
Answer: Choice A) "If two lines have opposite slopes, then they are perpendicular"
----------
Explanation:
Refer to problem 2 for the general form of the converse. We swap the positions of P and Q.
-6 + 14 - 9 - (-3) + 8
Please help
Answer:
10
Step-by-step explanation:
−6+14−9−(−3)+8
=8−9−(−3)+8
=−1−(−3)+8
=2+8
=10
-6 + 14 - 9 - (-3) + 8
8 - 9 - (-3) +8
-1 + 3 + 8
2 + 8
10
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park the garden to be placed in the corner of a city park. The garden is a right triangle with base 10m and height 15m. Draw the garden such that 1 unit on the grid below represents 2 m
Given:
The garden is a right triangle with base 10m and height 15m.
To draw:
The garden such that 1 unit on the grid below represents 2 m.
Solution:
We have,
1 unit = 2 m
So,
1 m = 0.5 units
Using this conversion, we get
10 m = 5 units
15 m = 7.5 units
Therefore, the base garden on the grid is 5 units and height is 7.5 units as shown below.
Solve for Y........................
Simplify the expression.
-10-6+)
12
12
12
ayooo I need help ASAP
Answer:
Ok
Step-by-step explanation:
Answer:
2>-4
Step-by-step explanation:
The answer is D. positive numbers are always greater than negative numbers.
Anyone know this thing
Answer:
i think that the answer would be A
Step-by-step explanation:
Answer:
(4,10)
(this is because i have to fill in more characters apparently)
Solve the problem using system of equations -
System 1: 15x + 5y = 2
System 2: -3x = y + 6
Answer:
It would be no solution.
Solve for R in the following equation:
V=IR-E
Answer:
R = V/I+E
Hope this helps!
Figure MNOP is reflected about the x-axis to obtain figure M′N′O′P′:
A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A polygon MNOP has M at ordered pair 1, 3, N at ordered pair 2, 1, O at ordered pair 3, 1 P at ordered pair 4 and 2. A polygon M prime N prime O prime P prime has M prime at 1, negative 3, N prime at ordered pair 2, negative 1, O prime at ordered pair 3, negative 1, and P prime at ordered pair 4, negative 2.
Which statement best describes the relationship between the two figures? (1 point)
Figure MNOP is bigger than figure M′N′O′P′.
The measure of angle O is equal to the measure of angle M′.
The measure of angle O is equal to the measure of angle P′.
Figure MNOP is similar to figure M′N′O′P′.
Figure MNOP is similar to figure M'N'O'P'.
Answer:
Figure MNOP is similar to figure M'N'O'P'.
Step-by-step explanation:
hope this helped :)
Please help meeeeee????
Answer:
RT = 23
Step-by-step explanation:
We will have a line that essentially goes like this:
R-----S-----T
The distance from R to S is 12 units.
The distance from S to T is 11 units.
We need to find the distance from R to T.
R is the starting point and T is the ending point.
To find the total distance, we can add both line lengths.
12 + 11 = 23 units
Best of Luck!
Answer this for BRAINLIEST !
Answer:
-1/3
Step-by-step explanation:
The table shows the number of tennis balls that fit into a given number of cans
Answer:
wheres the table?
i cant see the table
What two integers would v26 fall between
Answer:
Your answer is v25 and v26.
Step-by-step explanation:
I hope this helped, have a good day! ;)
PLS HELP ILL GIVE BRAINLIEST I NEED NOW
What is the value of 'x' in the figure of the square below?
Answer:
3
Step-by-step explanation:
so you set up an equation because the sides are equal
10+x=4x+1
then you solve
10=3x+1
9=3x
x=3
what is the answer to 20x+7=4+6?
Answer:
Step-by-step explanation:
Answer:
0.15
Step-by-step explanation:
20x+7=10
20x=10-7
20x=3
x=3/20
x=0.15
find the value of x, I need help with that
Answer:
x = 62
Step-by-step explanation:
just do vertically opposite:
180-90-28 = 62
because they are vertically opposite, x=62
also could do:
90-28=62
please show work i just don’t understand the wording
Answer:
they won 52 games
they lost 19 games
the equation is 2x + 33= 71
Step-by-step explanation:
they played 71 games in total
say the amount of games they won is y
say the amount of games they lost is x
using the variables, you can form this equation:
y + x = 71
you also know that they won 33 more games then they lost.
so, y = x + 33
now, you can substitute y for x + 33 in the original equation
x + x + 33 = 71
combine like terms
2x + 33 = 71
subtract 33 from both sides of the equation
2x + 33 - 33 = 71 - 33
2x = 71 - 33
2x = 38
divide both sides of the equation by 2
2x/2 = 38/2
x = 38/2
x = 19
they lost 19 games.
now substitute 19 for x in the equation
y = x + 33
y = 19 + 33
y = 52
they won 52 games
What is the Y intercept of a line that has a slope of three and Pacitti the points -1 and -7
Answer:
The y-intercept is -4.
Step-by-step explanation:
y = mx + b
-7 = 3(-1) + b
-7 = -3 + b
b = -4
FIND THE VALUE OF X AND W my answer is incorrect
PLEASE HELP ME
geometry
Step (1)
[tex](6w - 7) + (3x + 8) = 142[/tex]
[tex]6w + 3x - 7 + 8 = 142[/tex]
[tex]6w + 3x + 1 = 142[/tex]
Subtract sides -1
[tex]6w + 3x + 1 - 1 = 142 - 1[/tex]
[tex]6w + 3x = 141[/tex]
Divided sides by 3
[tex] \frac{6}{3}w + \frac{3}{3}x = \frac{141}{3} \\ [/tex]
[tex]2w + x = 47[/tex]
I call above equation (( Ω ))
_________________________________
Step (2)
[tex]180 - 142 = 38[/tex]
We have :
[tex](6w - 7) + 38 = (10w - 9)[/tex]
[tex]6w - 7 + 38 = 10w - 9[/tex]
[tex]6w + 31 = 10w - 9[/tex]
Subtract sides -6w
[tex]6w - 6w + 31 = 10w - 6w - 9 \\ [/tex]
[tex]31 = 4w - 9[/tex]
Plus sides 9
[tex]31 + 9 = 4w - 9 + 9[/tex]
[tex]40 = 4w[/tex]
Divided sides by 4
[tex] \frac{40}{4} = \frac{4}{4}w \\ [/tex]
[tex]w = 10[/tex]
_________________________________
Do u remember (( Ω )) ?
Of course u do...
[tex]2w + x = 47[/tex]
[tex]2(10) + x = 47[/tex]
[tex]20 + x = 47[/tex]
Subtract sides -20
[tex]20 - 20 + x = 47 - 20[/tex]
[tex]x = 47 - 20[/tex]
[tex]x = 27[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
true or false for k = 4 in 32÷k=8
Answer:
True
Step-by-step explanation:
Answer:
TRUE!
Step-by-step explanation:
Benjiro and Eren are playing Fortnite. Benjiro had 4 kills in 10 minutes. Eren had
3 kills in 8 minutes. If each player continues at the same rate, who will reach more kills in 40 minutes? How many kills will each player have? Explain you answer. *
Answer:
Benjiro will have more kills because 40 divided by 10 is 4 so 4 times 4 is 16 while 3 times 5 is 15
Step-by-step explanation:
14.89 divided by 0.02
Answer:
744.5
Step-by-step explanation:
Answer:
744.5
Step-by-step explanation:
the answer is 744.5
What is the product of the polynomial 2x^3 + 8x^2 + x + 3 times the
monomial x?
Answer:
[tex]\huge\boxed{2x^4 + 8x^3 + x^2 + 3x}[/tex]
Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.
[tex]2x^3 \cdot x[/tex]
Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes [tex]2x^4[/tex].
Same logic applies to the second term: [tex]8x^2[/tex], raise the exponent by one, [tex]8x^3[/tex].
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so [tex]x^1[/tex] in this case - as [tex]x^1=x[/tex]). Again, using the same logic, this turns into [tex]x^2[/tex].
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, [tex]3 \cdot x = 3x[/tex].
Adding these terms all together gets us [tex]2x^4 + 8x^3 + x^2 + 3x[/tex].
Hope this helped!
Which of the following describes a square root of 41 ?
A Between 20 and 21
B Between 40 and 42
C Between 6 and 7
D Between 5 and 6
Answer
C
Step-by-step explanation:
During the summer, Tyler delivers packages and Miranda cares for animals on a farm. To show their earnings, Tyler makes a graph and Miranda makes a table. Which statement is true?
Answer:
When Miranda works 5 hours instead of 4, her pay goes up by
$56.00 - 44.80 = $11.20
That is, Miranda is paid $11.20 for each hour she works.
The slope of Tyler's graph indicates he is paid $9.00 for each hour he works. Miranda's pay per hour is $11.20 - 9.00 = $2.20 more than Tyler's.
Miranda earns $2.20 more per hour than Tyler
how to get algebra help
What even is this question?
is -0.25 repeating rational
-8x-3=13-9x what is the answer for x?
Answer:
x=16
Step-by-step explanation:
-8x-3=13-9x
-8x+9x=13+3
x=16
Answer:
x = 16
Step-by-step explanation:
subtract 8x from both sides
-3 = 13 -x subtract 13 to both sides
-16 = -x multiply both sides by -1 which gives you 16 = x
Rebecca writes 1/5 of a page in 1/14 minute. How many pages can she write in one minute? (fraction) pages per minute.
HELP I BEG!!
Answer:
She can write 2 pages and 4/5 extra.
Step-by-step explanation:
We know that she has already written for 1/14 of a minute. Now we need to turn that fraction into a whole, because the problem is asking for a whole minute.
___ x 1/14 = 1?
14
Now we take the 1/5, and multiply it by the 14 to see how much she writes in a minute.
1/5 x 14 = 14/5
Last we simplify.
14/5 = 2 4/5
A rocket is launched from the launch pad at a speed of 700 km/hr. How far will the rocket have traveled after 1.0 hr?
Step-by-step explanation:
The answer is
Distance is 42000 kmph
The distance the rocket has traveled after 1 hour with a speed of 700km/hour is 700 km.
Given,
A rocket is launched from the launch pad at a speed of 700 km/hr.
We need to find how far will the rocket has traveled after 1.0 hr.
What is speed?Speed is the ratio of distance per time.
Speed = Distance /Time
Its unit is km/hour or m/second.
We have,
Speed = 700 km/h
Distance = D
Time = 1 hour
From the speed formula:
Speed = Distance / Time
700 = Distance / 1
700 km / hour x 1 hour = Distance
Distance = 700 km
Thus the distance the rocket traveled after 1 hour with a speed of 700km/hour is 700 km.
Learn more about relative speed here:
https://brainly.com/question/28224010
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