Answers
Answer:
Find each measure.
1.
SOLUTION:
The trapezoid ABCD is an isosceles trapezoid. So,
each pair of base angles is congruent. Therefore,
ANSWER:
101
2. WT, if ZX = 20 and TY = 15
SOLUTION:
The trapezoid WXYZ is an isosceles trapezoid. So, the
diagonals are congruent. Therefore, WY = ZX.
WT + TY = ZX
WT + 15 = 20
WT = 5
ANSWER:
5
COORDINATE GEOMETRY Quadrilateral
ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),
and D(5, –1).
3. Verify that ABCD is a trapezoid.
SOLUTION:
First graph the points on a coordinate grid and draw
the trapezoid.
Use the slope formula to find the slope of the sides of
the trapezoid.
The slopes of exactly one pair of opposite sides are
equal. So, they are parallel. Therefore, the
quadrilateral ABCD is a trapezoid.
ANSWER:
ABCD is a trapezoid.
4. Determine whether ABCD is an isosceles trapezoid.
Explain.
SOLUTION:
Refer to the graph of the trapezoid.
Use the slope formula to find the slope of the sides of
the quadrilateral.
The slopes of exactly one pair of opposite sides are
equal. So, they are parallel. Therefore, the
quadrilateral ABCD is a trapezoid.
Use the Distance Formula to find the lengths of the
legs of the trapezoid.
The lengths of the legs are equal. Therefore, ABCD
is an isosceles trapezoid.
ANSWER:
isosceles;
5. GRIDDED REPSONSE In the figure, is the
midsegment of trapezoid TWRV. Determine the value
of x.
SOLUTION:
By the Trapezoid Midsegment Theorem, the
midsegment of a trapezoid is parallel to each base
and its measure is one half the sum of the lengths of
the bases.
are the bases and is the
midsegment. So,
Solve for x.
16 = 14.8 + x
1.2 = x
ANSWER:
1.2
CCSS SENSE-MAKING If ABCD is a kite, find
each measure.
6. AB
SOLUTION
Related Questions
Can someone please Classify the angles ? I don’t need a conclusion ....
Answers
Answer:
Right triangle
Step-by-step explanation:
A right triangle is a triangle in which one angle is a right angle.
I need help with this can you help me
Answers
Answer: 2.5 in, 7.5 in, and 5 in.
Step-by-step explanation:
you would divide each side by 2
5 inches to 2.5
15 inches to 7.5
and 10 inches to 5
VW = WX = YW = ZX = VX = view image attached thank youuu!
Answers
Answer:
assuming this is a rectangle:
VW=31
WX=19
YW=36.36
ZX=18.18
VX=36.36
Step-by-step explanation:
VW=VX
VW=31
WX=VX
WX=19
YW^2=19^2+31^2
YW^2=361+961
YW^2=1322
YW=36.36
ZX=1/2VX
ZX=18.18
VX=YW
VX=36.36
The measures of the rectangle are
a) The measure of VW = 31
b) The measure of WX = 19
c) The measure of YW = 36.36
d) The measure of ZX = 18.18
e) The measure of VZ = 18.18
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let the rectangle be represented as VWXY
Now , the diagonals of the rectangle are VX and WY
Substituting the values in the equation , we get
The measure of VY = 19
The measure of XY = 31
Now , for a rectangle the opposite sides are congruent
So , the measure of VY = measure of WX
And , the measure of XY = measure of VW
On simplifying the equation , we get
The measure of WX = 19
The measure of VW = 31
And , the diagonal of the rectangle = √ ( Length )² + ( Width )²
Substituting the values in the equation , we get
The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²
The diagonal of the rectangle YW = √ ( 961 + 361 )
The diagonal of the rectangle YW = 36.359 ≈ 36.36
And , the measure of VX = measure of YW = 36.36
Now , the measure of ZX = measure of VZ = measure of VX / 2
So , the measure of ZX and VZ = 36.36 / 2 = 18.18
Hence , the diagonal of the rectangles is 36.36
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Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP
Answers
Answer:
x = .23
x = 1.43
Step-by-step explanation:
1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:
[tex]3x^{2} -5x+1=0[/tex]
2. Solve with the quadratic formula and you get:
[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.
Answer:
here is my answer
Step-by-step explanation:
please help me on this will give you brainliest!!
Answers
Answer:
9+(c*2)
im pretty sure this is correct, sorry for misreading it at first <3
The point Q(4, 2) is translated 8 units left and 7 units down. What are the coordinates of
the resulting point,
Answers
Answer:
(-4,-5)
Step-by-step explanation:
Start from the original point and go 8 units to the left and 7 units down and plot the point.
HELP MEEEEEEEEEEE plz :D
Answers
B = -60
C = -45
D = -15
E = 15
F = 30
What is the Y intercept of y=3-4x?
Answers
Answer:
13
Step-by-step explanation:
How to find the slope and y intercept from two coordinate pairs
Answers
m = (y2-y1)/(x2-x1)
and then find the y intercept by (0,b)
then plug m and b into
y=mx+b
Answer:
Slope: y2-y1/x2-x1
Step-by-step explanation:
You find slope from two coordinate pairs by using the slope formula(y2-y1/x2-x1) or rise over run from a graph.
To find y-intercept, x needs to be 0 on a graph.
Hope this helps!
which of the following expressions is equal to 5-2m?
A) 7-2(m+1)
B) 7-2(m-2)
C) 7-(2m-5)
Answers
2. In the middle school band, there is 1 oboe for every 7 clarinets. Write three equivalent ratios to compare the oboes to the clarinets
Answers
1/7, 2/14, 3/21
I took the test
The three equivalent ratios to compare the oboes to the clarinets are,
⇒ 2 : 14
⇒ 3 : 21
⇒ 4 : 28
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
In the middle school band, there is 1 oboe for every 7 clarinets.
Here, The ratio of the oboes to the clarinets is,
⇒ 1 : 7
Hence, Three three equivalent ratios to compare the oboes to the clarinets are,
⇒ 1 : 7
⇒ 1 / 7
⇒ 1×2 / 7×2
⇒ 2 / 14
And, 1 : 7
⇒ 1×3 / 7×3
⇒ 3 / 21
And, 1 : 7
⇒ 1×4 / 7×4
⇒ 4 / 28
The three equivalent ratios to compare the oboes to the clarinets are,
⇒ 2 : 14
⇒ 3 : 21
⇒ 4 : 28
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please help me out thank you.
Answers
Answer:
_____________
What is 9867 rounded to the nearest 1000
Answers
Answer:
10,000Hope it helps
Have a good day
Hole this helps
Find f(x) where
f(x) = 3x+2/x
Answers
Answer:
[tex] \huge f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]Step-by-step explanation:
to understand thisyou need to know about:inverse functionPEMDASgiven:[tex]f(x) = \frac{3x + 2}{x} [/tex]to find:[tex] {f}^{ - 1} (x)[/tex]tips and formulas:inverses of common function
[tex] + < = > - [/tex][tex] \times < = > \div [/tex][tex] \frac{1}{x} < = > \frac{1}{y} [/tex][tex]x ^{n} < = > \sqrt[n]{y} [/tex]let's solve:[tex]step - 1 : define[/tex][tex]f(x) = \frac{3x + 2}{x} [/tex][tex]step - 2 : solve[/tex][tex]substitute \: y \: for \: f(x) \\ y = \frac{3x + 2}{x} [/tex][tex]interchange \: x \: and \: y \: and \: swap \: the \: sides \: of \: the \: equation\\ \frac{3y + 2}{y} = x[/tex][tex]multiply \: both \: sides \: of \: the \: equation \: by \: y \\ \frac{3y + 2}{y} \times y = x \times y \\ 3y + 2 = xy[/tex][tex]move \: the \: constant \: and \: the \: expression \: to \: the \: right \: and \: left \: hand \: sides \: and \: change \: its \: sign \: respectively \\ 3y - xy = - 2[/tex][tex]factor \: out \: y \: from \: the \: expression \\ (3 - x)y = - 2[/tex][tex]divide \: both \: sides \: by \: 3 - x \\ \frac{(3 - x)y}{(3 - x)} = \frac{ - 2}{3 - x} [/tex][tex] y = \frac{ - 2}{3 - x} [/tex][tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]
Which best describes the relationship between the two triangles below?
M
51°
N
F
51
H Н
36
369
G
O AMLN-AFGH because of the third angle theorem. ZM ZF ZL ZG, and ZNE ZH.
AMIN may or may not be similar to AFGH because the third angle is unknown.
Answers
Answer:
It’s the bottom answer.
Step-by-step explanation:
hope I helped
The corresponding angles of the triangles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
In triangle ΔLMN, the measure of the third angle is calculated as,
∠N + ∠M + ∠L = 180°
∠N + 51° + 36° = 180°
∠N = 93°
In triangle ΔFGH, the measure of the third angle is calculated as,
∠H + ∠F + ∠G = 180°
∠H + 51° + 36° = 180°
∠H = 93°
In triangles ΔFGH and ΔMLN, the corresponding angles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.
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In one hour a machine can make
500 nuts
or
840 bolts.
At 2 pm the machine starts working.
It makes 750 nuts and then changes to making bolts.
How many bolts will the machine make by 8.00 pm?
Answers
Answer:
3780 bolts will be made by 8pm
Step-by-step explanation:
One Hour : 500 nuts or 840 bolts
Divide by 2
30 minutes : 250 nuts or 420 bolts
750 nuts : 500 + 250 = 750
so the machine took 1 hour and 30minutes
14:00 it started (2pm)
15:30 it switched to bolts
20:00 (8pm)
4 hours and 30minutes to get to 8pm
840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made
HELP I WILL GIVE BRAINLIEST
Solve for x.
7x + 14 – 2x = −x + 12 – x − 19
A. x = −3
B. x = −1
C. x = 1
D. x = 3
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
X COULD BE 2 OR 7
Step-by-step explanation:
Answer:
A. x= -3
Step-by-step explanation:
firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.
What is the value of the missing angle ?
Answers
Answer:
30
Step-by-step explanation:
? = 180 - 150 = 30
Answer:
30°
Step-by-step explanation:
The line is 180 degrees so all you have to do is subtract 150° from 180°
You should end up with 30°
Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.
The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.
Answers
Answer:
10%
Step-by-step explanation:
we want to find what % of 34 is 37.40
so, we will use the following equation:
[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]
for this scenario:
part = 37.40
whole = 34
percent = x
now plug in:
[tex]\frac{37.40}{34} = \frac{x}{100}[/tex] cross multiply
34x = (37.40)(100)
34x = 3740 divide both sides by 34
x = 110%
now we know that with tax, we paid 110% of the video game's price
110 - 100 = 10%
so the percent sales tax is 10%
just to check...
34 • 1.10 = $37.40
or
34 • .10 = 3.40
34 + 3.40 = 37.40
Pleaseeeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
x = 6
Step-by-step explanation:
(5x-24)/2 = 3
2.5x - 12 = 3
2.5x = 15
x = 6
Solve the simulataneous equations. 5x-4y=19 x+2y=8
Answers
Answer:
(5, 1.5 )
Step-by-step explanation:
Given the 2 equations
5x - 4y = 19 → (1)
x + 2y = 8 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the y- term
2x + 4y = 16 → (3)
Add (1) and (3) term by term to eliminate y
7x + 0 = 35
7x = 35 ( divide both sides by 7 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
5 + 2y = 8 ( subtract 5 from both sides )
2y = 3 ( divide both sides by 2 )
y = 1.5
solution is (5, 1.5 )
help, due tonight, asap, will give brainliest
Answers
Answer:
has one solution which is 2
Step-by-step explanation:
James has 9 7/8 cups blueberrys he use 5 3/8 cups to make a pie he use another 2 6/8 to make muffins how many cups of blueberries does James have left
Answers
DUDE HOW COME NO ONE HELPS ME WHEN THIS THING IS DUE TOMORROW LIKE PLS I WILL MARK YOU IF THATS ALL YOU WANT
Answers
Answer:
50%
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
look at where the line perfectly goes through a point on the table, ie (60,20) or (70,50), and count up each unit until you see it is aligned with another point that perfectly crosses through. then see how many units left or right you need to go to reach that point. on this graph you go up 3 units and to the right 1 unit, 3/1=3. the slope is 3
Determine the value of x. Assume the segments that appear tangent
are tangent
Answers
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
Segment lengths of each chord have the same product.
(x -2)(x +6) = 9×20
x² +4x -12 = 180
x² +4x +4 = 196 . . . . . add 16 (complete the square)
(x +2)² = 14²
x +2 = 14 . . . . . . . . . . . positive root is the only one useful
x = 12
could you help me with the 2 questions plz
Answers
Answer:
2. 64
3. 2
Step-by-step explanation:
help with rounding off!!please
Answers
Answer:
Step-by-step explanation:
A.0.4821 ( 3 d.p)=0.482
B.0.595 (2 d.p)= 0.60
C.0.0346(3 d.p)=0.03
D.2.94999(1 d.p)=2.9
Mark me as a brainliest
0.60
0.03
2.9
those are the answers
What are the factors in 6x+4
Answers
Answer:
2(3x-2) is the answer
The factors of the expression 6x + 4 will be 2 and (3x + 2).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given as,
⇒ 6x + 4
Factorize the expression, then we have
⇒ 6x + 4
⇒ 2(3x + 2)
The factors of the expression 6x + 4 will be 2 and (3x + 2).
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Which of the following is a solution of x2 + 4x + 6? (1 point)
Answers
Answer:
I LOVE ALGEBRA anyways
othe ans is in the picture and the steps how got the ans
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
A snow blower requires a fuel mixture ratio of 40:1 (gas to oil). Which expression represents this ratio?
Answers
Answer:
A. 40/1
Step-by-step explanation:
A. 40/1
B. 1 X 40
C. 40 X 1
D. 1/40
Ratio of gas to oil = 40 : 1
40 : 1 = 40/1
40 : 1 can also be written as 40/1 or 40 to 1