Answers
Answer:
Midsegment is 35.
Step-by-step explanation:
TL; DR:
The smaller triangle (with a base of 6x + 5) has side lengths that are twice as small as the entire triangle (the one with a base of 3x+55). So, 2(6x+5) = 3x + 55. x = 5, so the midsegment is 35.
Look at the photo attached below.
Here is the statement/reason:
1. ED ║ AB (Midsegments are parallel to the base)
Note: Then, CA and CB are transversals
2. Then, m∠CED = m∠EAB (corresponding angles)
3. m∠CDE = m∠DBA (corresponding angles)
4. ΔCED is similar to ΔCAB (angle angle)
5. CA = CE + EA
6. CA = 39 + 39 = 78 (Substitution, algebra)
7. ED/AB = CE/CA (similar triangles)
Note: You can also use CD and CB
8. (6x+5) / (3x+55) = 39 / 78 (substitution)
9. (6x + 5) / (3x + 55) = 1 / 2 (algebra)
10. 12x + 10 = 3x + 55, x = 5 (algebra)
11. ED = 6x + 5 (given)
12. ED = 6*5 + 5 = 35 (substitution, algebra)
An explanation of the algebra:
(6x+5) is twice as small as (3x + 55). So, we can write this equation:
2(6x+5) = 3x + 55
12x + 10 = 3x + 55
Subtract 3x from both sides.
9x + 10 = 55
Subtract 10 from both sides.
9x = 45
x = 5.
Now, put that into ED.
6x + 5 = 6 * 5 + 5 = 35
I hope this helps! Feel free to ask any questions!
Related Questions
will mark brainliest and mark 5/5
Answers
9514 1404 393
Answer:
AY = 4.8YD = 2.4Step-by-step explanation:
Corresponding sides of the triangles are ...
ΔFUN . . . ΔDAY
UF = 10 . . . AD = 6
FN = 4 . . . DY
NU = 8 . . . YA
Corresponding sides are proportional, so we have ...
DY/4 = AD/UF = 6/10
DY = 4(0.6) = 2.4
and
YA/8 = 6/10
YA = 8(0.6) = 4.8
The side lengths are ...
AY = 4.8, YD = 2.4
Answer:
.
Step-by-step explanation:
If 6^4x = 82, what is the value of x?
Round your answer to three places.
Answers
Answer:
[tex]x=0.61485921[/tex]
Step-by-step explanation:
The given equation is in exponential form:
[tex]6^{4x} =82[/tex]
To find [tex]x[/tex] we need to write it in logarithmic form:
[tex]b^{a} =n[/tex] ⇒ [tex]log_{b} n=a[/tex]
[tex]6^{4x} =82[/tex] ⇒ [tex]log_{ 6 } 82=4x[/tex]
[tex]2.45943684 = 4x[/tex]
[tex]\frac{2.45943684}{4} = x[/tex]
[tex]0.61485921 =x[/tex]
To prove this, we can substitute the value into the given equation
[tex]6^{4x} =82[/tex]
[tex]6^{4(0.61485921)} =82[/tex]
[tex]82=82[/tex]
Therefore, the answer is [tex]x=0.61485921[/tex]
When solving for x in a one-variable equation, there can be one solution, no solution, or infinitely many solutions. In complete sentences, explain whether this statement is true or false, and why.
Answers
hi please help i’ll give brainliest please
Answers
Answer:
45
Step-by-step explanation:
The answer would be 45
The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions of the frame?
Answers
Answer:
8 x 4
Step-by-step explanation:
Lets say the length is x and the width is y.
xy = 32
2x + 2y = 24
Rearranging the second equation, we get:
2x = 24 - 2y
/2 /2
x = 12 - y
substitute into the first equation
y(12 - y) = 32
12y - y^2 = 32
-32 -32
-y^2 +12y - 32 = 0
x -1 x -1
y^2 - 12y + 32 = 0
(y - 8)(y - 4) = 0
y = 8 or 4
substitute into x = 12 - y.
x = 12 - 8 = 4
x = 12 -4 = 8
so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.
Hope I helped!
can someone show me how to do this please and what the answers
Answers
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
b/c minor arc is less than 180° ,the given is 155°
Triangle JKL has vertices J(-4, -1), K(0, 4), and L(-4, -2). Graph The triangle and it’s image after a dilation with a scale factor of 0.5.
Answers
Answer:
J(-2, -0.5), K(0, 2), L(-2, -1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
so 1 equals one to q 1
Graph the equation y + 4 = .
Answers
Answer:
just go to Desmos graphing calculators
Step-by-step explanation:
and that all
help ASAP ill mark brainliest. The answers are the 4 other images attached
Answers
Answer:
Step-by-step explanation:
The can find this my matching each number of the chart with each diagram
It can't be the first one because the 17-19 isn't on 8, it is on 4
It can't be the second one because the 20-22 isn't on 7, it is on 9
It is the third one because all the number on the chart is matching with the numbers on the diagram
It can't be the fourth one because the 17-19 isn't on 8, it is on 4
Write an explicit formula for the sequence 8, 6, 4, 2, 0, ... Then find a 14.
Oan=-2n + 10; -16
Oan=-2n + 8; -18
O an=-2n +8; -20
Oan=-2n + 10; -18
Answers
Answer:
the answer is -2n+10;-18
Question and answer options attached. Please help, thanks!
Answers
Answer:
there is no question but i think out of a,b,c and e i think b or c
Step-by-step explanation:
sorry
what is the answer to x - 4 = -2
Answers
Answer: x=2
Step-by-step explanation: add 4 to both sides of the equation.
Translate this phrase into an algebraic expression. Eight more than the product of 8 and a number Use the variable n to represent the unknown number.
Answers
Answer:
8n + 8
Step-by-step explanation:
We already know that n is the unknown number. Product means multiplying, so you multiply 8 by the unknown number. More than means adding, so you add 8 to the product of 8n.
6.
Write an equation of a line with the given slope and y-intercept.
m = (4)/(5), b = 2
A. y= (4)/(5)x - 2
B. y= (4)/(5)x + 2
C. y= (5)/(4)x + 2
D. y= 2x + (4)/(5)
Answers
Answer:
B. y= (4)/(5)x + 2
Step-by-step explanation:
Use the slope-intercept form
y = m x + b to find the slope m and y-intercept b .
Slope:
5
3
y-intercept: ( 0 , − 2 )
Find the perimeter of the rectangle below.
5x2 - 6
2x2
Answers
a girl 2.2m tall observes that the angle of elevation of the top of a building 16m away from her is 45° find the height of the building
Answers
Answer:
18.2 m = height of the building
Step-by-step explanation:
Let x = the distance from the top of the girl's head to the top of the building
tan 45 = x/16
x = 16 tan 45
x = 16 m
16 + 2.2 = 18.2 m = height of the building
can you help me. What is 2x-14
Answers
Answer: 2(x-7)
Step-by-step explanation: 2x−14
2x−14
=2(x−7)
Answer:
-8
Step-by-step explanation:
so first start off by doing 2x(-14)
this will get us to our answer -8.
It's pretty easy, try using a calculator to help if needed.
☺️
Calculate the area of these shapes. Answer correct to one decimal place:
Working out is needed
Answers
c) 25 X π / 2 ≈ 39.3, d) 16 X π / 4 ≈ 12.6, b) 100 X π / 4 X 3 ≈ 235.6
How many sides does the thirtieth figure have?
Answers
Answer:
8.
Step-by-step explanation:
multiples of 3 for every shape.
step by step:
first 3 have 3 sides (3 shapes)
second set of 3 have 4 sides (6 shapes)
the next set has 5 (9 shapes)
the next set has 6 (12 shapes)
the next set has 7 (the 13th shape would be in this set)
What is the experimental probability that a coin toss results in two heads showing?
Answers
Answer:
you have a 0.25 chance
Step-by-step explanation:
Each coin has a 0.5 so to get two on heads is 0.25 sorry I don't have time for a detailed reason
Perform the operation (x^2+8x+8)+(-10x^2+5x)
Answers
Answer:
Step-by-step explanation:
(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8
= -x^2 +13x + 8
Answer:
-9x^+13x+8
Step-by-step explanation:
Can someone please help me with this find the unit rate of these 2 items cost per item which is these 2 bag of chips set it up please and show work I’ll mark brainliest
Answers
Can 3 over 11/2 and 6 over 11 be a proportion?? Please explain!!! ASAP
Answers
Answer:
Yes! these are in the same proportion
Step-by-step explanation:
Lhs = 3 over 11/2 = 3/(11/2)
=>3× (2/11)
=> 6/11
=> Rhs
Do not factor by grouping. Solve 2(x-2)^1/3=x+2
Answers
Step-by-step explanation:
2(x-2)⅓=x+2
so we first cube each side,such that...
(2(x-2))⅓•³=(x+2)³
we get...
2(x-2)=(x+2)³
expanding...
2x-4=x³+6x²+12x+8
grouping....
x³+6x²+12x+8-2x+4=0
solving...
x³+6x²+10x+12=0
now you can use you calculator to solve for the possible values of x
I hope this will help
Pls help ASAP
Simplify [tex]\sqrt{.64x^2}[/tex] if [tex]x\leq 0[/tex]
The answer is not (4/5)x
Answers
if the income tax rate is 4%, determine the amount of income tax paid on income of $20,000.
Answers
Answer: $800.
Step-by-step explanation:
To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.
20,000 x 0.04 = 800
Help me please thanks alout
Answers
because if u divide 6 by 2, u get 3
and divide 10 by 2 to get 5
so 6/10 is equivalent
Answer:
6/10
Step-by-step explanation:
6/10 is equal to 3/5 because you can multiply 3/5 times 2. So multiply the numerator(3) times 2, which is 6, then multiply the denominator(5) times 2 as well, which is 10.
Hope this helped!
P.S (in case you don't know the definition of numerator or denominator)
Nominator- the top number of a fraction.
Denominator- the bottom number of a fraction.
HELPOOPPPPPPPPPSBSBBSHSHABDBNSKA
Answers
Answer:
Step-by-step explanation:
Mar 12, 9:04:40 PM
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
x=sqrt(5/2)
Step-by-step explanation:
[tex] \sqrt{4. \sqrt{9} } [/tex]
Answers
Answer:
[tex]2 \sqrt{3} [/tex]
Step-by-step explanation:
1) Since 3 × 3 is 9, the square root of 9 is 3.
[tex] \sqrt{4 \times 3} [/tex]
2) Simplify 4 × 3 to 12.
[tex] \sqrt{12} [/tex]
3) Simplify
[tex] \sqrt{12} \: \: to \: 2 \sqrt{3} [/tex]
[tex]2 \sqrt{3} [/tex]