Answer:
53.8 is correct
Step-by-step explanation:
Make sure you don't round down
A Mexican restaurant sells quesadillas in two sizes: a "large* 10 inch-round quesadilla and a "small" 4 inch
round quesadilla. Which is larger, half of the 10-inch quesadilla or the entire 4-inch quesadilla?
Answer:
Half of the 10-inch quesadilla ↓
Here is the inequality statement:
10 ÷ 1/2 = 5 > 4
10 divided by its half equals five which is greater than 4.
Can’t solve this proof all help is appreciated
Explanation:
To get to the desired conclusion, you will want to make use of CPCTC and the fact that triangle AXB is congruent to triangle CYD. In order to show those two right triangles are congruent, it is sufficient to claim congruence of their hypotenuses and one internal acute angle (HA congruence). The corresponding internal angles are alternate interior angles where a transversal (BD) crosses parallel lines (AB║CD). It's tedious, but not terribly difficult.
__
Statement . . . . Reason
1. Congruent segment pairs are (AB, CD), (AD, BC) . . . . given
2. Perpendicular segment pairs are (AX, BD), (CY, BD) . . . . given
3. ABCD is a parallelogram . . . . definition of parallelogram (opposite sides are the same length)
4. AB ║ CD . . . . definition of parallelogram (opposite sides are parallel)
5. ∠ABX ≅ ∠CDY . . . . alternate interior angles at BD
6. ΔAXB and ΔCYD are right triangles . . . . definition of right triangle (angles at X, Y are 90°)
7. ΔAXB ≅ ΔCYD . . . . HA congruence postulate (AB, CD are the hypotenuses)
8. AX ≅ CY . . . . CPCTC
_____
Additional comment
A lot of proof has to do with working backward, answering the question, "How do I know ...?" The beginning paragraph in this answer attempts to show you the answers to those questions.
This proof works with the smaller triangles AXB and CYD. You could do the same proof with the larger triangles AXD and CYB. For that, you'd have to claim that AD║BC.
50 points HELPP QUICK which figure is a rotation of figure A?
a. figure B
b. figure C
c. figure D
Answer: Figure D
Figure D is a 180 degree rotation of figure A.
find the value of x Round your answer to the nearest tenth what does x equal hury please!!!!!!!!!!!!
Answer:
14
Step-by-step explanation:
tan41° = opposite / adjacent
tan41 = 12/x
x ( tan41 ) = 12
X = 12/tan41°
X = 13.80
when rounded off = 14
PLEASE ANSWER ASAP
On the school playground, the slide is due west of the tire swing and due south of the monkey bars. If the distance between the slide and the tire swing is 7 feet and the distance between the tire swing and the monkey bars is 10 feet, how far is the slide from the monkey bars? If necessary, round to the nearest tenth.
Answer:
I hope the attached image helps!
Step-by-step explanation:
Answer: use the pythagorean theorem method
A² + B² =C²
7²+ 10² =C²
7•7=49
10•10=100
49+100= 149
the square root of 149 is
12.2.
7²+10²= 12.2² or 12 rounded to the nearest tenth
hope this helps :)
Step-by-step explanation:
Look at the sequence below. To get to the next term in the sequence,
subtract 90 from the term before.
520,
430, 340,
Write the first two terms of the sequence that are less than zero.
Answer:
The first two negative terms are -20 and -110
Really easy, Really need help!
Answer:
I don't see what the question is
If "x" is equal to 6, what is the value of the following expression? y = 2x + 9x + 3
Answer:
[tex]y = 69[/tex]
Step-by-step explanation:
Given the following question:
[tex]y=2x+9x+3[/tex]
[tex]x=6[/tex]
Substitute and solve using PEMDAS:
[tex]y=2x+9x+3[/tex]
[tex]y=2(6)+9(6)+3[/tex]
[tex]2\times6=12[/tex]
[tex]y=12+9(6)+3[/tex]
[tex]9\times6=54[/tex]
[tex]y=12+54+3[/tex]
[tex]12+54=66[/tex]
[tex]66+3=69[/tex]
[tex]y=69[/tex]
Your answer is "y = 69."
Hope this
solve pls brainliest
Answer:
35 votes
Step-by-step explanation:
First we divide :)
56/8 = 7
Now we multiply 5 by 7
5 x 7 = 35
She recieved 35 votes :)
Have an amazing day!!
Please rate and mark brainliest!!!
x^2 - y^2 = 100
x + y = 5
The solution to the given system of equations is
(x, y). What is the value of x - y?
Answer:
20
Step-by-step explanation:
Let's start by rewriting the second equation in terms of "x":
[tex]x+y=5[/tex]
Subtract y from both sides:
[tex]x=5-y[/tex]
Now, substitute "5-y" for "x" in the first equation:
[tex](5-y)^2-y^2=100[/tex]
Note that:
[tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex]25-10y+y^2-y^2=100[/tex]
Cancel out like terms:
[tex]25-10y=100[/tex]
Subtract 25 from both sides:
[tex]-10y=75[/tex]
Divide both sides by -10
[tex]y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}[/tex]
Now, substitute this value back into either of the equations to solve for x.
[tex]x+y=5\\x-\frac{15}{2}=5\\[/tex]
Add 15/2 to both sides:
[tex]x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}[/tex]
Now, find the difference:
[tex]x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20[/tex]
Suppose that a and b are nonzero real numbers, and
that the equation x² + ax + b = 0 has solutions a
and b. Then the pair (a, b) is
The equation has two solutions. Means Discriminant means b^2-4ac >0
Here b = a.
a = 1
c = b
a^2 - 4b >0
a=2
b= -1
then a^2 - 4b > 0 = 4+4 > 0
therefore its 2, -1
The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.
We have,
Given that the equation x² + ax + b = 0 has solutions a and b, the sum and product of the roots (a and b) can be related to the coefficients of the quadratic equation.
The sum of the roots of a quadratic equation is given by:
Sum of roots = -coefficient of x / coefficient of x² = -a
The product of the roots of a quadratic equation is given by:
Product of roots = constant term / coefficient of x² = b
From the given information, we have:
The sum of roots = a
Product of roots = b
Thus,
The pair (a, b) represents the sum and product of the roots of the quadratic equation x² + ax + b = 0.
Learn more about solutions of equations here:
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i will cry if i can't answer these
Answer:
15
Step-by-step explanation:
3 liters equals to 3000 milliliters
divide 3000 by 200 and you get 15 bowls of soup
Which circle has the longest circumference? Why?
Answer: The longest part of the circle is called diameter. Diameter is a chord. It is equal to double of radius.
A chord is a line segment with both endpoints on the circle. The diameter is a special chord that passes through the center of the circle. The diameter would be the longest chord in the circle.
Step-by-step explanation:
A right triangle with the dimensions given in units is shown below.
Answer: 12.5?
Step-by-step explanation: because a square is a full and half of it makes a triangle so I guess its half so 12.5?
If there are 18 frogs in the tank and I put 9 in the bowl how many are left. 15 points
Answer:
Tank: 9 Bowl: 9
9 + 9 = 18
Step-by-step explanation:
Pls, choose me as brainliest!
PARALLELOGRAM QUESTION LOTS OF POINTS, SERIOUS ANSWERS ONLY I WILL REPORT
Answer:
m∠C = 75°
Step-by-step explanation:
Theorem:
The consecutive angles of a parallelogram are supplementary (sum to 180°).
⇒ m∠D + m∠E = 180°
⇒ (7x + 21) + (15 + 5x) = 180
⇒ 7x + 21 + 15 + 5x = 180
⇒ 12x + 36 = 180
⇒ 12x = 144
⇒ x = 12
Theorem:
Opposite angles of a parallelogram are equal.
⇒ m∠C = m∠E
⇒ m∠C = 15 + 5x
Substituting found value of x:
⇒ m∠C = 15 + 5(12)
⇒ m∠C = 75°
Consecutive angles of a parallelogram are supplementary
7x+21+5x+15=18012x+36=18012x=144x=12<C:-
5(12)+1560+1575°An angle measures 62.8° less than the measure of its supplementary angle. What is the measure of each angle?
Will give 30 to correct answer!
Jannette says ABC ~ DEF because ABC's sides form a Pythagorean triple and DEF's side lengths are multiples of ABC's side lengths. Is she correct?
Answer: Yes
Step-by-step explanation:
DEF's side lengths are multiples of ABC's side lengths
please this is due tomorrow
Answer:
289m = 2,890dm
Step-by-step explanation:
you multiply the meters by 10
help me out here please
Answer:
They came to different conclusions because if you graph n+10 and 2n+3, eventually 2n+3 will surpass n+10 (see picture for diagram). Since they both plugged in different numbers for n, they received different answers to the question.
PLEASE HELP !! ASAP
Find the values of X and Y. State what kind of angles are indicated in the figure.
Answer: x=61 y=29
well all the angles have to add up to 360 so its pretty simple to find,
2y=58
y=58/2=29
y=29
58*2=116
360-116=244
244/2=122
2x=122
x=122/2=61
x=61
Explain how knowing 4 times 8 will help you solve 4 times 80
Answer:
knowing 4 times 8 will help you know 4 times 80 because all you would have to do is multiply 4 by 8 and then add the 0 to your answer
Step-by-step explanation:
4*8=32
Triangle DEF is shown below. Which of the following equations could be used to find the value of x?
The equation that can be used to find x in the triangle is x + 86 = 180
How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the angle of x in the triangle.
Triangle DEF is shown above. Therefore, the equation that can be used to find the value of x can be calculated as follows:
49 + 37 + x = 180
Therefore, the equation is as follows:
x + 86 = 180
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An equation that could be used to find the value of x is: B. x + 86° = 180°.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the sum of all of the interior angles of a triangle is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:
m∠1 + m∠2 + m∠3 = 180°
37° + 49° + m∠3 = 180°
86° + m∠3 = 180°
x + 86° = 180° (required equation)
Read more on triangle here: brainly.com/question/22891315
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40 POINTS AND BRAINLIEST TO WHOEVER CAN WALK ME THROUGH THIS AND HELP ME
A staircase of steps in a swimming pool has a vertical rise of 10 inches per step and a landing of 14 inches. Answer the following questions showing each step of your work:
a) What is the angle of elevation (rounded to the nearest whole degree)?
b) If the landing of each step is changed to 17 inches and the elevation of each step to 13 inches, what is the new angle of elevation for the staircase (rounded to the nearest whole degree)?
Answer:
a) 36°
b) 37°
Step-by-step explanation:
a) x=14 y=10
tan(0) = 10/14
0 = tan-1 (10/14)
0 = 36
b) x=17 y=13
tan(0) = 13/17
0 = tan-1 (13/17)
0 = 37
A laptop computer is purchased for $2300. After each year, the resale value decreases by 25%. What will the resale value be after 4 years
since its 25% on each of the 4 years then it becomes 100%, but because its decreasing then that means it is half of $2300, which is $1150.
The answer is $1150
The segments in each figure are tangent to the circle at the points shown. Find each length.
Answer:
Step-by-step explanation:
Tangents from a common point are equal.
In other words AC = AB
AC = 8x
AB = 2x^2
2x^2 = 8x Divide both sides by 2x
2x^2/2x = 8x / 2x Divide
x = 4
AC = 8x
AC = 8*4
AC = 32
AB = 2x^2
AB = 2 (4)^2
AB = 2*16
AB = 32
Write the log equation as an exponential equation. You do not need to solve for X,
log, (5x + 1) = 2
Answer:
5x+1=10²
Step-by-step explanation:
[tex]log_{x}y=n\\ y=x^{n}[/tex]
㏒(5x+1)=2
5x+1=10²
solve for v: 56= 7v + v simplify your answer as much as possible
Answer:
v=7
Step-by-step explanation:
i just used a math website for my answers and told it to simplify. try using that website. i always get an 90-100's on my tests from using that
Given equation :
[tex]{\qquad \sf \dashrightarrow{ 56= 7v + v }}[/tex]
We can rewrite the equation as :
[tex]{\qquad \sf \dashrightarrow{ 7v + v = 56 }}[/tex]
Adding like terms :
[tex]{\qquad \sf \dashrightarrow{ 8v = 56 }}[/tex]
Dividing both sides by 8 :
[tex]{\qquad \sf \dashrightarrow{ \dfrac{8v}{8} = \dfrac{56}{8} }}[/tex]
[tex]{\qquad \bf \dashrightarrow{ v = 7 }}[/tex]
Henceforth,
The value of v is 7.Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this compositi
of transformations?Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this compositions
of transformations?
Answer:
Rotate 180 degrees
Step-by-step explanation:
james had $400 in his bank account after paying bills for 4 months his balance is now $160. what is his rate of change in dollars per month?
Answer:
60
Step-by-step explanation:
400-160=240
240/4=60