Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
[tex]\angle DE F\cong \angle GEH[/tex] (Common angle)
[tex]\angle EDF\cong \angle EGH[/tex] (Corresponding angle)
[tex]\Delta DE F\sim \Delta GEH[/tex] (By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.
[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]
[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]
[tex]\dfrac{x+14}{x+5}=2[/tex]
[tex]x+14=2(x+5)[/tex]
[tex]x+14=2x+10[/tex]
Isolating variable terms, we get
[tex]x-2x=-14+10[/tex]
[tex]-x=-4[/tex]
[tex]x=4[/tex]
Therefore, the value of x is equal to 4.
find the solution of given expression
[tex] \sqrt{365 \times 4 \times 365} [/tex]
Answer:
√{365×4×365}=√(365²×2²)=±(365×2)=±730
Answer:
[tex]\sqrt{365\cdot \:4\cdot \:365}=\sqrt{532900}[/tex]
[tex]=\sqrt{730^2}=730[/tex]
Please answer! I’ll make brainliest
Answer:
16 feet
Step-by-step explanation:
We are Given that
We have a 34 foot ladder leaning against a 30 foot buildingWe are asked to find the distance of the bottom ladder from bottom of the building.A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.
The building height And distance of the bottom of ladder and building is our legs so our formula we use is
[tex] {30}^{2} + {x}^{2} = {34}^{2} [/tex]
[tex]900 + {x}^{2} = 1156[/tex]
[tex] {x}^{2} = 256[/tex]
[tex]x = 16[/tex]
For the diagram shown, which angles are alternate interior angles?
Answer:
∠3 and ∠5
Step-by-step explanation:
If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?
Answer: Each classmate got 9 pencils
Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.
What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?
Answer:
y =1x+4
Step-by-step explanation:
Rewrite using a single positive exponent
Step-by-step explanation:
[tex] \frac{ {7}^{4} }{7} = {7}^{4 - 1} = {7}^{3} [/tex]
Christa wrote 1 page in 2/3 hour. Which is Christa's writing rate per hour?
Answer:
3/2 pages per hour
Step-by-step explanation:
1 : 2/3
= 3/2 : 1
you save $15 per week to purchase a bike that costs $120. write and solve an inequality to find the number of weeks you need to save to purchase the bike.
Answer:
Must save 8 weeks or more to purchase the bike.
Step-by-step explanation:15*w >= 120 where W is the number of weeks.
w >= 120/15 = 8
You need to save $15 every week for the next 8 weeks in order to purchase the bike.
What is inequality in mathematics?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is that you save $15 per week to purchase a bike that costs $120.
Assume that you need [w] weeks to save $120 for the bike.
Amount earned per week [A] = $15
Amount earned in [w] weeks [W] = $15w
Money needed [R] = $120
The inequality can be written as -
[W] ≥ [R]
We can write it as -
15w ≥ 120
Solving the inequality, we get -
15w/15 ≥ 120/15
w ≥ 8
Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.
To solve more questions on inequalities, visit the link below-
brainly.com/question/26434651
#SPJ5
Please help me with this 4.7 x 10^-1
as an ordinary number
Answer:
The answer is 0.47
Msmsmsmaka
Answer:
0.47
Step-by-step explanation:
47/100
hope it helps thank you
PMark for Review
5 The Raven Club sold tickets to the local fall festival. On day one, they sold 50 child tickets and 75 adult
tickets and the total was $525. On day two, they sold 45 child tickets and 65 adult tickets and the total
was $460. What was the cost of the adult tickets?
Answer:
Y = 6
Step-by-step explanation:
On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?
Day 1: 3x + 7y = 72
Day 2: 7x + 16y = 152
This becomes a system of equations.
3x+8y=72
3x+8y+−8y=72+−8y (Add -8y to both sides)
3x=−8y+72
3x/3 = −(8y+72)/3
X = (-8/3) y + 24
Substitute (-8/3) y + 24 for x in7x+16y=152:
7(-8/3 y + 24) + 16y = 152
-8/3 y + 168 = 152 (Simplify both sides of the equation)
-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)
-8/3 y = -16
(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)
y = 6
If the sidewall of a cubic structure have length 7m , then find the total surface area.
is this jhit right?
Answer:
Surface area of the cube = 294 m²
Step-by-step explanation:
Sidewall of a cube measures in length = 7 m
Formula for the surface area of a cube = Sum of the areas of all six sides of the cube
= 6 × (Side)²
= 6 × (7)²
= 6 × 49
= 294 m²
Therefore, surface area of the cube is 294 m².
URGENT!!!!
Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in
Answer:
It's 60 in
Step-by-step explanation:
P = 4s
P = 4 x 15
P = 60 in
order from least to greatest 3.2 ,3.14, 19/7, sqrt (14)
Answer: 19/7 ,3.14, 3.2
Step-by-step explanation: Hope this helps Have a brilliant day of learning!
PLEASE HELP ME! 50 POINTS! I WILL GIVE BRAINLIEST! Decide whether the table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?
Bettie's Boutique is having a 20% off sale.
|original price| sale price|
—————————————
|$15. | $12. |
—————————————
|$25. |$20. |
—————————————
|$35. |$28. |
————————————-
Answer:
15 and 12 makes a pattern of -3
25 and 20 makes a pattern of -5
35 and 28 makes a pattern of -7
Step-by-step explanation:
5 x 3=15
5 x 5=25
5 x 7=35
Answer:14
Step-by-step explanation:
What is geometrical mathematical system?
A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.
Volume = base area x tall
base area = π x (1.8in)²
base area = 10.179 in²
Volume = 10.179 in² x 6.7 in
Volume = 68.198 in³
Answerthe volume is 68.198 in³
4х + 1= 3x + 2
does it have no solution one solution or infinitely many solutions
Step-by-step explanation:
4x-3x=2-1
×=1
that's fine
Melanie makes 12 out of 16 foul shots. What is the experimental probability that she will miss her next foul shot?
Simplify the expression 7h +(-5.9d) – 17+4d -3.4h
Please help me need it done ASAP
Answer:
−1.9d+3.6h-17
Step-by-step explanation:
You just need to combine like terms ;)
Hope it helps, let me know
Calculate the percentage increase of an item that cost R59.99 in 2020 and R 65.99 in 2021
Answer:
the answer is of this question R = 10
Answer:
The answer is 6%
Step-by-step explanation:
[tex]65.99 - 59.99 = \frac{6 \times 100}{100} = 6\%[/tex]
Find the integer that satisfies the inequality below.
Please help with a
Answer:a)6,7,8
d)8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
Step-by-step explanation:
Find the value of 1.999.... in the form of p
q
where p and q are integers.
1.999… is exactly the number 2.
Let x = 1.999… . Then 1000x = 1999.999… . Subtract x from this to eliminate the fractional part, and you get
1000x - x = 1999.999… - 1.999…
1000x - x = 1999 - 1
999x = 1998
x = 1998/999 = 2/1 = 2
So p = 2 and q = 1.
What is the nth term of the sequence 1,4,9,16
Answer:
[tex]n^{2}[/tex]
Step-by-step explanation:
1, 4, 9, 16
1=[tex]1^{2}[/tex]
4=[tex]2^{2}[/tex]
9=[tex]3^{2}[/tex]
16=[tex]4^{2}[/tex]
so, the fifth term is [tex]5^{2}[/tex] = 25
Question
(01.01 LC)
What should be added to 3 to make the sum 0? (1 point)
a
-3
b
-2
с
0
d
3
Simplify the expression 8(5+w
Answer:
40+8w=0
8w=-40
w=-40/8
w=-5
Please help immediately! thanks
Answer:
pretty sure its 9 : 4
Step-by-step explanation:
Answer:
9:4
Step-by-step explanation:
"to" :
HELP!!
Which of the following statements is TRUE if angle 4 has a measure of 127°?
А
<1 = 53°
B
<2 = 53°
с
<3 = 127
D
<3 = 180°
HELP!!
Answer:
A
angle 1 + angle 4 is equal to 180
if angle 4 = 127, angle 1 must equal 53
Step-by-step explanation:
add or subtract to simplify IHML
Answer:
A) 6x^2 + 8x
Step-by-step explanation:
2x^2 + 4x^2 = 6x^2
7x + x = 8x
6x^2 + 8x
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?
*see attachment for the diagram of the triangular prism box
Answer:
528.8 in.²
Step-by-step explanation:
Surface area of triangular prism = 2(BA) + P*H
Area of triangular base (BA) = ½*b*h
b = 24.5 in.
h = 12 in.
BA = ½*24.5*12 = 147 in.²
Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.
Height of prism = 4 in.
Plug in the values into the surface area formula:
Surface area of prism = 2(147) + 58.7*4
= 294 + 234.8
= 528.8 in.²
PLEASE HELP NOW!!!!!!!
Answer: BC
Step-by-step explanation:
I know this because i did this one before your welcome