Answers
Step-by-step explanation:
To find x,equate EF to BC
2y+x=14( from here,it's impossible to calculate the values yet)
Find the value of ‹ACB
180°-(99+45)=36°
Now equate ‹DFE to 36° to find y
8y-5=36
8y=36+5
8y=41
y=5.125
Plug in the value of y to find x
2y+x=14
x=14-2y
x=14-2(5.125)
x=3.75
9514 1404 393
Answer:
x = -12
y = 13
FE = 14
m∠E = 36°
AB ≅ DF, BC ≅ FE, AC ≅ DE
∠D ≅ ∠A, ∠E ≅ ∠C, ∠F ≅ ∠B
Step-by-step explanation:
The expression involving y is that of an angle measure. In order to find y, we need to know the angle. So, it makes sense to start by identifying corresponding angles and their measures.
The congruence statement ΔABC ≅ ΔDFE means that ...
∠A ≅ ∠D . . . 45°
∠B ≅ ∠F . . . 99°
∠C ≅ ∠E . . . 180° -99° -45° = 36°
It also means ...
AB ≅ DF . . . 10
BC ≅ FE . . . 14
AC ≅ DE . . . unmarked (and unknown*)
__
Using the measure of angle F we can solve for y:
(8y -5)° = 99°
8y = 104 . . . . . . divide by ° and add 5
y = 13 . . . . . . . . divide by 8
Using the length of side FE, we can solve for x:
2y +x = 14
2·13 +x = 14 . . . . substitute for y
x = 14 -26 . . . . . .subtract 26
x = -12
_____
* The length of the unmarked side is unknown because its measure will depend on how you compute it. The given angles and side lengths are inconsistent, so the figure shown cannot exist. If angle measures are taken as accurate, the side measures are not, and vice versa.
Related Questions
What is the original cost of a skateboard that was discounted by 35% and now sells for $92.95?
Answers
Answer:
The answer should be $143
Point O is on line segment NP . Given NP=18 and , NO=10, determine the length OP .
Answers
18-10= 8
hope this helps!
Graph the line x+2y=12 on the axes provided.
Answers
Answer: x=2y=12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert the equation into mx+b format.
y=-1/2x + 6
Then, graph the line using the slope and y-intercept.
PLZ HELP! NO FAKE ANSWER PLEASE!!!!!! PLEASE AND THANK YOU MARRY CHRISTMAS!
Answers
Answer:
1. m=1/2
2. x=4/7
3. t=4
4. y=5
Step-by-step explanation:
1. 5m+4=7m+6
5m-7m=6-5
2m=1
m=1/2
2. -5x+3=2x-1
-5x-2x=-1-3
-7x=-4
x= -4/-7= 4/7
3. 5t-3=3t+5
5t-3t=5+3
2t=8
t=8/2= 4
4. 53y-55= 42y
53y-42y=55
11y=55
y=55/11=5
hope it helps!
Answer:
1. 5m+4=7m+6
Step 1: Subtract 7m from both sides.
5m+4−7m=7m+6−7m
−2m+4=6
Step 2: Subtract 4 from both sides.
−2m+4−4=6−4
−2m=2
Step 3: Divide both sides by -2.
[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]
m=−1
_______________________________
2. −5x+3=2x−1
Subtract 2x from both sides.
−5x+3−2x=−1
Combine −5x and −2x to get −7x.
−7x+3=−1
Subtract 3 from both sides.
−7x=−1−3
Subtract 3 from −1 to get −4.
−7x=−4
Divide both sides by −7.
x= [tex]\frac{-4}{-7}[/tex]
[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.
x= [tex]\frac{4}{7}[/tex]
_____________________________
3. 5t−3=3t+5
Subtract 3t from both sides.
5t−3−3t=5
Combine 5t and −3t to get 2t.
2t−3=5
Add 3 to both sides.
2t=5+3
Add 5 and 3 to get 8.
2t=8
Divide both sides by 2.
t= [tex]\frac{8}{2}[/tex]
Divide 8 by 2 to get 4.
t= 4
___________________________
4. 3y−55=42y
Subtract 42y from both sides.
53y−55−42y=0
Combine 53y and −42y to get 11y.
11y−55=0
Add 55 to both sides. Anything plus zero gives itself.
11y=55
Divide both sides by 11
y= [tex]\frac{55}{11}[/tex]
Divide 55 by 11 to get 5.
y=5
On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.
Which statement is true about this triangle?
BC=3 in.
BC=4 in.
BC=5 in.
The length of BC¯¯¯¯¯ cannot be measured.
Answers
Answer:
BC 4 in
Step-by-step explanation:
The steps for construction;
Using a ruler draw line AB 4 inches and label the end points A and BAt point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inchesMark that point C.Using the ruler, join point C and B and measure BC.From calculation, length BC can be found by the formula;
[tex]BC=\sqrt{a^2+b^2-2*a*b*cosA}[/tex]------where a=b=4 in , cos A = cos 60°
[tex]BC=\sqrt{4^2+4^2-2*4*4*cos60}[/tex]
BC = 4 in
Answer:
bc = 4
Step-by-step explanation:
. What is the GCF of the expression: 28xy-14X
Answers
Answer:
14 x
Step-by-step explanation:
How do I solve 8k-9(4K+4)
Answers
Answer:
-28k - 36
Step-by-step explanation:
8k - 9(4k+4)
distribute -9 into the ( )
8k - 36k -36
combine 8k and - 36k to get - 28k
-28k-36
hope this helps!!!
What additional piece of information would prove DABD ≅ DCBD?
Answers
Answer:
∠BAD ≅ ∠BCD
Step-by-step explanation:
The complete equation is attached.
Two triangles are congruent to each other if all their three sides are equal to each other and all their three angles are equal to each other.
The angle side angle (ASA) congruence theorem states that two triangles are congruent if two angles of one triangle is equal to two angles of the other triangle and also if their included side are equal.
Since AB = BC, ∠ABD = ∠CBD. For ∠ABD ≅ ∠CBD based on ASA then ∠BAD ≅ ∠BCD
Samira buys a car the car loses 23% of its value in the first year. at the end of the first year her car is worth 6575.80 dollars how much did samira pay for her car?
Answers
Answer: Samira paid $8540 for her car.
Step-by-step explanation:
Let x = Amount paid by Samira for her car.
Given: Depreciation rate = 23%
Worth of car after one year = $ 6575.80
As per given,
x - 23 % of x = 6575.80
⇒ x - 0.23x = 6575.80
⇒ 0.77x= 6575.80
⇒ x= $8540 [Divide both sides by 0.77]
Hence, Samira paid $8540 for her car.
David is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual books. If each book costs the same amount, how much does each of the 3 books cost when purchased individually?
Answers
Answer:
Cost of each individual book = $10.5
Step-by-step explanation:
Given:
Cost of 3 book set = $24.81
Amount save = $6.69
Find:
Cost of each individual book
Computation:
Assume:
Cost of each individual book = a
Total cost = 3a
So,
Total cost = $24.81 + $6.69
Total cost = $31.5
So,
3a = $31.5
a = $10.5
Cost of each individual book = $10.5
solve for x
1. 6
2. 4
3. -5
4.-10
Answers
Collect like terms/equations
1. -3x+5-6x
2. 21+4a-13
3. 21+4a-13
4. 15-10b+6b=-5
5. -20=4c+30-2c
Answers
2. 21 and -13
3. 21 and -13
4. -10b and 6b, 15 and -5
5. -20 and 30, 4c and -2c
2. 8 +4a (Question 2 and 3 the same)
4. -4b= -20
5. -50= 2c
What is the answer to 8.7x570.8
Answers
4,965.96 :)
Explanation:
8.7 multiplied 570.8 times is equivalent to 4,965.96.
1/2 - x + 3/2 = x - 4
what is the solution for X in the equation?
Answers
Answer: x= 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
25
Consider the function, f (x) = 2x – 1
Use the above function to complete the following table.
Х
f(x)
1
0
-1
2
Answers
Answer:
well it is 1 beacuse on a numberline you would nedd the opposite of that number
Step-by-step explanation:
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answers
180 x .75 = 135 then add that to 180
So, 180+135 = 315
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
Answer:
A and C
Step-by-step explanation:
m+5n(9−p)−6−rsquar(2.718282)d
Distribute:
=m+(5n)(9)+(5n)(−p)+−6+−2.718282adqr2su
=m+45n+−5np+−6+−2.718282adqr2su
Answer:
=−2.718282adqr2su−5np+m+45n−6
Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3. B=\large(
Answers
Answer:
(0, 2)
Step-by-step explanation:
Given the following
coordinate A (-6, 5)
Coordinate C (4, 0)
Ratio is 2:3
Required
Coordinate of B
Using the midpoint formula expressed as;
M(X,Y) = [(ax1+bx2/a+b), ay1+by2/a+b]
x1 = -6, y1 = 5, x2 = 4 and y2 = 0
a = 2 b = 3
Get X;
X = ax1+bx2/a+b
X = 2(-6)+3(4)/2+3
X = -12+12/5
X = 0/5
X = 0
Get Y;
Y = ay1+by2/a+b
Y= 2(5)+3(0)/2+3
Y = 10/5
Y = 2
Hence the coordinate of B is at (0, 2)
Answer:
the answer is (-2,-3)
Step-by-step explanation:
i got it right
y=-2(x-4)^2-3 in standard form
Answers
What two things do you NEED to write an equation in point-slope form?
Answers
Answer:
a letter or a word of any kind
Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form
Step-by-step explanation:
What is the y-intercept of the equation?
Answers
Answer:
Step-by-step explanation:
The above equation is of the form y=mx+c
c is the y intercept so c=2
Because the actual equation is y=mx+b
B=2
What is the constant of proportionality for y=4.7x?
Answers
Answer:
4.7
Step-by-step explanation:
Given equation y=4.7x
constants of proportionality = y/x
so, y/x = 4.7
therefore, answer is 4.7
Booker and Reginald both collected insects for a science exhibit-collection. The one hundred eighty-seven insects in Reginalds collection are thirty-seven more than twice the number in Bookers collection. How many insects are in Bookers collection!
Answers
Answer:
Insects in Bookers collection = 50 insects
Insects in Reginald collection = 137 insects
Step-by-step explanation:
Total insects collected = 187
Reginalds collection are thirty-seven more than twice the number in Bookers collection.
Let
Insects in Bookers collection = x
Insects in Reginald collection = 2x + 37
How many insects are in Bookers collection?
Total insects collected = Bookers collection + Reginald collection
187 = x + (2x + 37)
187 = x + 2x + 37
187 = 3x + 37
187 - 37 = 3x
150 = 3x
Divide both sides by 3
x = 150 / 3
= 50 insects
Insects in Bookers collection = x
= 50 insects
Insects in Reginald collection = 2x + 37
= 2(50) + 37
= 100 + 37
= 137 insects
Total = 50 + 137
= 187 insects
HELP ME PLEASE
The table below shows the number of each color marker Mr. Martinez has in his
bucket. If Mr. Martinez increases the amount of markers to 153, how many markers
can he expect to be blue?
Answers
Answer:
25
Step-by-step explanation:
What is the slope of a line that is perpendicular to the
line shown on the graph?
5
4
4 3
2
1
54 -3 -2 -11
1 2 3 4 5 X
4
-2
1-3
-4
25
Answers
Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
(0, 2)(4, 1)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]
[tex]m=\frac{1-2}{4-0}[/tex]
[tex]m=-\frac{1}{4}[/tex]
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]-\frac{1}{-\frac{1}{4}}=4[/tex]
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
If your friend's doctor wants her target heart rate range to be between 143 and 170, and her
average resting heart rate is 62, what is her age?
Answers
Answer:
a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm.
Step-by-step explanation:
so I'd say 21
4x + 5 = 6x - 2 need help answering this
Answers
Answer:
[tex]x=\frac{7}{2}[/tex]
Step-by-step explanation:
Step-by-step on how to solve it is in the image below.
Hope this helps! :)
Answer:
hi here is answers
Step-by-step explanation:
Exact Form: x = 7/2
Decimal Form: x = 3.5
Mixed Number Form x = 3 1/2
hope this helps, have a great day
PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST
Answers
Answer:
Hiii
Step-by-step explanation:
3. M=-3/4 B=4
6. M=-5/4 B=-2
help plz!!!!!!!!!!!!!!!!!!
Answers
Answer:
first one is proportional, second is not. (not sure how to answer the number thing lol)
Step-by-step explanation:
Which equations have the variable term in the equation -6 + 2x = 6x - 9 isolated to one side of the equals sign, and the constant isolated to the other side? Select all that apply, D-6 = 4x-9 O 3-4x=0 O4x = -3 O 3 = 4x O2= 6x-3
Answers
Answer:
C, D
Step-by-step explanation: