Answer: YZ = 13
Point Y is between the points X and Z => XY + YZ = XZ
=> 3x - 4 + 2x + 3 = 24
<=> 5x - 1 = 24
<=> x = (24 + 1) : 5 = 5
with x = 5 => YZ = 2.5 + 3 = 13
Step-by-step explanation:
The length of segment YZ can be found using the segment addition
postulate that specifies the relationship between the segments.
The numerical length of YZ is 13Reasons:
The given location of point Y = Between points X and Z
Length of XY = 3·x - 4
Length of YZ = 2·x + 3
Length of XZ = 24
Required:
The length of YZ
Solution:
XY + YZ = XZ according to segment addition postulate
Therefore;
3·x - 4 + 2·x + 3 = 24
Which gives;
5·x - 1 = 24
5·x = 24 + 1
[tex]x = \dfrac{24 + 1}{5} = 5[/tex]
x = 5
YZ = 2·x + 3
Therefore;
YZ = 2 × 5 + 3 = 13
The numerical length of YZ is 13
Learn more here:
https://brainly.com/question/4710687
Can someone help me ? Please and ty
Answer:
A
Step-by-step explanation:
Answer:
Your solution is 1,1, so a.
Step-by-step explanation:
This is because the solution is always where the lines meet up.
(a) An angle measures 45°. What is the measure of its supplement? (b) An angle measures 62º. What is the measure of its complement?
Answer:
Let the measure of an angle be x then the measure of the complement of the angle is 90 – x and the measure of the supplement of the angle is 180 – x. Example: Find the measure of the complement and supplement of an angle with measure (5x – 2)°.
Step-by-step explanation:
A sticker has a length of 4 inches. If Gary places the stickers end to end, how many can he fit on a banner that is 12 feet long? ( 1 foot = 12 inches ) explain why thank you!!!!
A) 144
B) 38
C) 36
D) 42
Answer:
Step-by-step explanation:
12 feet *12 inches per foot= 144 inches
144/4=36 stickers
PLEASE HELP ASAP!!!
A video screen is 16 in. by 12 in. tall. What is the width of the largest complete image possible for a photograph that is 2 in. wide by 3 in. tall?
Answer:
8
Step-by-step explanation:
12 ÷ 3 = 4
4 × 2 = 8
:) hope this helps
Answer:
The answer is is 8 inches.
what is the length of BC in the right triangle below?
Answer:
The answer should be 15
Step-by-step explanation:
Use the graph to solve the simultaneous equation y=7 - x and y=x - 1
Answer: [tex]x=4, y=3[/tex]
Step-by-step explanation:
[tex]\left \{ {y=7 - x} \atop {y=x - 1}} \right.[/tex],
[tex]7 - x=x - 1[/tex]
[tex]2x=8,[/tex]
[tex]x=4, y=3[/tex]
A $52 video game is advertised for 20% off.If sales tax is 6% how much will the video game cost
Answer:
S44.10
Step-by-step explanation:
20% of 52 is 41.6
6% of 41.6 is 2.49600 US$ which rounds to 2.50
2.50+41.6=44.1
$44.10
In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in.
Find the distance from L to AB
AND find the measurement of
Answer:
[tex]\overline {LD}[/tex] = 0.6 inch
m∠ABC = 60°
Step-by-step explanation:
The given parameters are;
The given triangle ΔABC = A right triangle
The angle bisector of ∠CBA = BL
The length of BL = LB = 1.2 in.
The length of LC = 0.6 in.
We have;
[tex]\overline {LB}[/tex] ≅ [tex]\overline {LB}[/tex] reflexive property
∠ABC = ∠CBL + ∠DBL and ∠CBL ≅ ∠DBL definition of bisected angle
∠CBL = ∠DBL by definition of congruency
∠CLB + ∠CBL = ∠CLB + ∠DBL = 90°, opposite angles of a the right angle triangle are supplementary
∴ ∠CLB = ∠CLB by addition property of equality
ΔLDB ≅ ΔLBC are congruent by the Angle-Side-Angle rule of congruency
∴ [tex]\overline {LD}[/tex] ≅ [tex]\overline {LC}[/tex] Congruent Parts of Congruent Triangles are Congruent (CPCTC)
[tex]\overline {LD}[/tex] = [tex]\overline {LC}[/tex] = 0.6 in. by definition of congruency
[tex]\overline {LD}[/tex] = 0.6 in.
sin(m∠CBL) = Opposite side/(Hypotenuse side) = [tex]\overline {LC}[/tex]/[tex]\overline {LB}[/tex] = 0.6/1.6 = 1/2
m∠CBL = sin⁻¹(1/2) = 30°
m∠CBL = m∠DBL = 30°
m∠ABC = m∠CBL + m∠DBL = 30° + 30° = 60°
m∠ABC = 60°
Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =
Answer:
c= 14-7i-zdi
d=14/zi - 7/z - c/zi
Step-by-step explanation:
Solve for c by simplifying both sides of the equation, then isolating the variable.
Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.
Answer this question very very fast first to have correct answer will get brainiest :)
Answer:
Option d.
Amelie read 30 pages of a book. she read 1/5 of the pages on monday. how many pages did she read on monday?
Best Buy is having a sale and all of their iPad’s are 20% off. The regular price for an iPad is $450.
Part I:
How much money will you save buying the iPad on sale?
Part II:
What is the final cost of the iPad when it is on sale?
Given f(x) = x^3 - 5x^2 + kx + 4 and that x-2 is a factor of f(x), what is the value of k?
a. k = 0
b. k = -4
c. k = -2
d. k = 4
Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.
Answer:
4/18
Step-by-step explanation:
Washington Middle School wants to collect more than 1,300 cans of food for a local charity. So far, they have collected 762 cans. Which inequality can be used to determine the number of cans, n, they need to collect each day for the next 4 days to meet their goal?
Answer:
762 + 4n > 1300
Step-by-step explanation:
Need help ASAP ........
Answer: It's D.
Step-by-step explanation:
PLEASE HELP!!! WILL MARK BRAINLIEST!!
Answer:
A
Step-by-step explanation:
I’m pretty sure since you’ve taken a cube from the original cube and relocated it, that means is not part of the surface area anymore.
I could be wrong tho lol
Answer:
i think it is b
Step-by-step explanation:
Kara paid a total of $155 to her gym. She has to pay a gym
membership cost $25 to sign up and $10 for each month. How
many months were purchased?
Answer: 13 months.
Step-by-step explanation:
25+10+10+10+10+10+10+10+10+10+10+10+10+10= $155
Given that lines a and b are parallel, angles 2 and 6 are congruent because they are _____________ angles, and angles 5 and 8 are congruent because they are _____________ angles.
Answer:
parallel and parallel
Pls help or else meh mom will be my bum D:
Alice, Dairon, and Ozzie went to the mall to shop for school supplies. Alice spent $14.25 on her supplies. Dairon spent $2.30 more than Alice spent. Ozzie spent two times as much money as much as Dairon spent. How much did Ozzie spend on school supplies?
Answer: 33.10
Explanation: 14.25 + 2.30 = 16.55 x 2 = 33.10
What is negative 38 plus 11?
Answer:
- 27
Step-by-step explanation:
Hope this helps
Answer:
-27
Step-by-step explanation:
Help Asap!! Determine if the two triangles are congruent
The following two right triangles are similar.If side PQ = 42, side LM = 28, and side QR = 24, what is the length of side MN?
Two triangles
The simplest form of 3/5 divided by 5/7
Answer:
Step-by-step explanation:
3/5 ÷5/7= 21/25
help ya girl out please
-12 + x/5 = -16 ?
I need the steps to learn it ..!
Answer: X = -20
Step-by-step explanation:
-12 + x/5 = -16 ( What you do to one side you do to the other )
+12 +12 ( adding 12 to both sides)
x/5 = -4 ( gives us this )
5 (x/5 = -4) ( I multiplied by 5 to remove the denominator of x )
x = -20 ( get the answer )
PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!
There are 6 racers who went on a 25 meter race!!
X=time in seconds
Y=distance in meters
1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1
How fast was this person traveling? Write in unit rates
2) what would the graph look like if one of the riders fell off their tricycle
Answer:
0u09u0u
Step-by-step explanation:
8
HELP ME ASAP PLEASE?!?
Classify the following triangle as acute, obtuse, or right.
Answer:
obtuse
Step-by-step explanation:
hope it helps. :)
Which expression is equivalent to StartFraction negative 18 a Superscript negative 2 Baseline b Superscript 5 Baseline Over Negative 12 a Superscript negative 4 Baseline b Superscript negative 6 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
A. StartFraction 2 a squared b Superscript 11 Baseline Over 3 EndFraction
B. StartFraction 2 a squared b Superscript 30 Baseline Over 3 EndFraction
C. StartFraction 3 a squared b Superscript 11 Baseline Over 2 EndFraction
D. StartFraction 3 a squared b Superscript 30 Baseline Over 2 EndFraction
Answer:
B
Step-by-step explanation:
I just took the test
Answer:
A.
Step-by-step explanation:
Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer
Answer:
6
Step-by-step explanation:
122-8 shipping =114 /19=6
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
A 10-pound mixture that would sell for $80?
Answer:
six plastic bricks and four wooden blocks
Step-by-step explanation:
plastic bricks=10
wooden blocks:5
lets make plastic x and wooden y
if we made an eight pound mixture of only plastic bricks, that would get us to 80, but would not be enough weight. if we substitute one x pound for two y, we would have 9 pounds and $80. if we substitute this again, we have ten pounds and $80. we added four wooden blocks, and we took two away from the 8 plastic we had, so that is 6 plastic. so we have 6x and 4y, using the variables I assigned for the blocks above.
Find the value of x in this equation.
2
2/5 (4x – 3) – 2x = 4/5 - x
Answer:
[tex] \huge \blue{x = \frac{10}{3} } \\ [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} (4x - 3) - 2x = \frac{4}{5} - x \\ [/tex]
Multiply through by 5 to eliminate the fractions
[tex]5 \times \frac{2}{5} (4x - 3) - 2x(5) = 5 \times \frac{4}{5} - 5x \\ 2(4x - 3) - 10x = 4 - 5x \\ 8x - 6 - 10x = 4 - 5x[/tex]
Simplify the terms
[tex] - 2x - 6 = 4 - 5x \\ - 2x + 5x = 6 + 4 \\ 3x = 10[/tex]
Divide both sides by 3
We have the final answer as
[tex]x = \frac{10}{3} \\ [/tex]
Hope this helps you
