Answer:
x = 76
Step-by-step explanation:
∠ DIJ and ∠ HIJ are adjacent and supplementary, thus
∠ DIJ = 180° - 107° = 73°
The sum of the 3 angles in Δ DIJ = 180° thus
∠ DJI = 180° - (73 + 31)° = 180° 104° = 76°
∠ DJI and x are vertical angles and congruent , thus
x = 76
Answer:
x = 76
Step-by-step explanation:
x = 76
~**Will mark brainliest **~
For the correct answers to all three questions
a)
[tex]\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}[/tex]
b)
[tex]\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}[/tex]
c)
[tex]\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}[/tex]
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)
Answer:
1st option
Step-by-step explanation:
The translated image will be moved to the right of where it starts, with no change in orientation. The first option matches the required motion.
Answer:
The answer is the picture with thetriangle on the right side with the Hypotoneese facing the top left.
HELP MEEEEE I NEED HELP SM
Answer:
1) x=14
2) n=21/8=2.625
Step-by-step explanation:
1)
So we have the equation:
[tex]\frac{x}{16}-\frac{1}{2}=\frac{3}{8}[/tex]
First, let's remove all the fractions. Multiply both sides by the LCM of 16, 2, and 8, which is 16. So:
[tex]16(\frac{x}{16}-\frac{1}{2})=16(\frac{3}{8})[/tex]
Distribute:
[tex]16(\frac{x}{16})-16(\frac{1}{2})=16(\frac{3}{8})[/tex]
Simplify:
[tex]x-8=6[/tex]
Add 8 to both sides:
[tex]x=14[/tex]
So, the value of x is 14.
2)
We have:
[tex]\frac{3n}{7}-1=\frac{1}{8}[/tex]
Again, let's remove the fractions by multiplying both sides by the LCM of 7 and 8, which is 56. So:
[tex]56(\frac{3n}{7})-56(1)=56(\frac{1}{8})[/tex]
Simplify:
[tex]24n-56=7[/tex]
Add 56 to both sides:
[tex]24n=63[/tex]
Divide both sides by 24:
[tex]n=63/24[/tex]
Reduce:
[tex]n=21/8=2.625[/tex]
And we're done!
Solve the equation.
,3
y =1,000
Answer:
I have stated the answer about hope it helps
A rectangular trampoline has an area of 187 square feet. The length of the trampoline is
What is its width? (Include the units)
O 11 feet
O 153 feet
17 feet
160 feet
Answer:
Its 17 feet and 11 units
Step-by-step explanation:
You work side jobs for family and friends
which you charge $15 per job. You have
already made $75. How many more jobs do
you have to work if you try to save for a
concert ticket that costs $300?
Answer:
15 more jobs
Step-by-step explanation:
So you do 15 x 15 and that equals 225. Then you take 225 + 75 and that equals 300 so in total you just need 15 more jobs to get 300 dollars.
What is the measurement of a line?
if it is 2:20 what time would it be 1 hour and 30 minutes later
Answer:
I would say 3:30
Step-by-step explanation:
The intervals between levels 1 through 9 are equal. Compare the differences in
population from level 1 to 5 and from 6 to 9. Are they equal? Why or why not?
Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3
Please mark me as Brainliest
Just #9 please I need help (30 points)
Answer:
Step-by-step explanation:
The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as
[-3 , 2]
We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.
The range is the set of possible output values, which are shown on the y-axis.
This is why our graph goes from (-3,8) to (2,3)
Don elias es un agricultor de papas y va a vender sus productos a las bodegas de la central de abastos de su ciudad.Al preguntar el precio por kilo de la papa le informan que estaba a 18.30 pesos si en su camioneta lleva 2,675 kg ¿Cuanto dinero recibe por su venta?
Answer:
48,952.5 pesos
Step-by-step explanation:
Aquí en esta pregunta queremos calcular el monto a pagar por una mercancía, dado que se paga una cierta cantidad por kg de mercancía.
En la pregunta se nos dice que por kg de papa se paga 18.30 pesos Ahora, en el camión, hay 2.675 kg de patatas El monto a pagar por esto será;
la cantidad por kilogramo * número de kilogramos de patatas
= 18.30 * 2675 = 48,952.5 pesos
A horizontal line has points D, B, C. A line extends vertically from point B to point A.
Given that Ray B A bisects ∠DBC, which statement must be true?
a) m∠ABD = m∠ABC
b) AB ≅ BC
c) B is the midpoint of DC.
d) m∠DBC = 90°
Answer:
a) m∠ABD = m∠ABC
Step-by-step explanation:
The meaning of angle bisector is that each of the created angles is congruent to the other:
m∠ABD = m∠ABC
Answer:
A: m∠ABD = m∠ABC
A pilot needs to know the maximum height an aircraft can fly at. The cabin has
been tested and is safe to a height of 15679 m.
Round this height appropriately: to a whole number of on and to a whole 100m. Please help.
round it to a whole number of 100 m witch i think would be 15700 m
also i dint realize it said round it to a whole number and to 100 m so it would also be a whole number of 16000 i think if not this than 20000
What number must be subtracted from negative 5 for the difference to be negative 2
hope it helps you .
this is the right answer.
Can anyone please do these questions? This is Unit 1 Geometry basics Homework 5 Angle Relationships.
Answer:
Step-by-step explanation:
11). 6x + 7 = 8x - 17 [Since vertical angles are equal in measure]
8x - 6x = 17 + 7
2x = 24
x = 12
12). (11x - 15) + (5x - 13) = 180°
16x - 28 = 180°
16x = 180 + 28
16x = 208
x = 13
13). Since DB⊥AC,
m∠CBD = 90°
m∠CBE + m∠DBE = 90°
(5x - 42) + (2x - 1) = 90°
7x - 43 = 90
7x = 133
x = 19
14). Since QS bisects angle PQR,
m∠PQS = m∠RQS
10x + 1 = [tex]\frac{82}{2}[/tex]
10x + 1 = 41
10x = 40
x = 4
15). 10x - 61 = 18y + 5 [Vertical angles]
10x - 18y = 61 + 5
10x - 18y = 66
5x - 9y = 33 ------(1)
(18y + 5) + (x + 10) = 180 [linear pair of angles are supplementary]
18y + x + 15 = 180
x + 18y = 165 ------(2)
By adding equation (1)×2 and equation (2)
(10x - 18y) + (x + 18y) = 66 + 165
11x = 231
x = 21
16). (5x - 17) + (3x - 11) = 180 [[linear pair of angles are supplementary]
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
(3x - 11)° = 78 - 11
= 67°
67° + 90° + (2y + 5)°= 180° [Sum of angles on a line]
162 + 2y = 180
2y = 180 - 162
2y = 18
y = 9
17). NP bisects ∠MNQ.
Therefore, m∠MNQ = 2(m∠PNQ)
8x + 12 = 2×78
8x + 12 = 156
8x = 156 - 12
8x = 144
x = 18
m∠MNQ = (8x + 12)° = 156°
m∠RNM = m∠ONQ [Vertical angles]
(3y - 9)° = 180° - m∠MNQ
3y - 9 = 180 - 156
3y - 9 = 24
3y = 33
y = 11
Using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:
11. x = 12
12. x = 13
13. x = 19
14. x = 4
15. x = 21; y = 8
16. x = 26; y = 9
17. x = 18; y = 11
Applying the knowledge of angle relationships, we can solve each given problem by first, creating a an equation from the relationship between angles, then solve for the variables.
11. [tex]6x + 7 $ and $ 8x - 17[/tex] are vertical angles.
Since vertical angles are congruent, therefore:[tex]6x + 7 = 8x - 17[/tex]
Solve for x[tex]6x - 8x = -7 - 17\\\\-2x = -24\\\\x = 12[/tex]
12. [tex]11x - 15 $ and $ 5x - 13[/tex] are linear pair angles.
Since, the sum of linear pair angles equals 180 degrees, therefore:[tex](11x - 15) + (5x - 13) = 180[/tex]
Solve for x[tex]11x - 15 + 5x - 13 = 180\\\\16x - 28 = 180\\\\16x - 28 + 28 = 180 + 28\\\\16x = 208\\\\x = 13[/tex]
13. <DBE and <CBE are complementary angles.
Since the some of complementary angles equals 90 degrees, therefore,[tex]m \angle DBE + m \angle CBE = 90[/tex]
Substitute[tex](2x - 1) + (5x - 42) = 90[/tex]
Solve for x[tex]2x - 1 + 5x - 42 = 90\\\\7x - 43 = 90\\\\7x = 90 + 43\\\\7x = 133\\\\x = 19[/tex]
14. Since QS bisects <PQR, therefore,
m<PQS = 1/2(PQR)
Substitute[tex]10x + 1 = \frac{1}{2} (82)[/tex]
Solve for x[tex]10x + 1 = 41\\\\10x = 41 - 1\\\\10x = 40\\\\x = 4[/tex]
15. [tex](x + 10) $ and $ (10x - 16)[/tex] are linear pair angles.
Since the sum of linear pair angles equals 180 degrees, therefore,[tex](x + 10) + (10x - 16) = 180\\[/tex]
Solve for x[tex]x + 10 + 10x - 61 = 180\\\\11x - 51 = 180\\\\11x = 180 + 51\\\\11x = 231\\\\x = 21[/tex]
Find y:Since [tex](10x - 61) $ and $ (10y + 5)[/tex] are vertical angles, they are congruent. Therefore,
[tex](10x - 61) = (10y + 5)[/tex]
Plug in the value of x and solve for y[tex]10(21) - 61 = 18y + 5\\\\149 = 18y + 5\\\\149 - 5 = 10y\\\\144 = 18y\\\\8 = y\\\\\mathbf{y = 8}[/tex]
16. Since [tex](5x - 17) $ and $ (3x - 11)[/tex] are linear pair, their sum equals 180 degrees. Therefore,
[tex](5x - 17) + (3x - 11) = 180[/tex]
Solve for x[tex]5x - 17 + 3x - 11 = 180\\\\8x - 28 = 180\\\\8x = 180 + 28\\\\8x = 208\\\\x = 26[/tex]
Find y:[tex](2y + 5) + 90 + (3x - 11) = 180[/tex] (angles on a straight line = 180 degrees)
Plug in the value of x and solve for y[tex]2y + 5 + 90 + 3(26) - 11 = 180\\\\2y + 5 + 90 + 78 - 11 = 180\\\\2y + 162 = 180\\\\2y = 180 - 162\\\\2y =18\\\\y = 9[/tex]
17. Since NP bisects <MNQ, therefore,
[tex]m \angle PNQ = \frac{1}{2}(m \angle MNQ)[/tex]
Substitute[tex]78 = \frac{1}{2}(8x + 12)[/tex]
Solve for x[tex]78 \times 2 = 8x + 12\\\\156 = 8x + 12\\\\156 - 12 = 8x \\\\144 = 8x\\\\18 = x\\\\x = 18[/tex]
[tex]m \angle RNM + m \angle MNQ = 180^{\circ}[/tex] (linear pair)
Substitute[tex](3y - 9) + (8x + 12) = 180[/tex]
Plug in the value of x and solve for y[tex]3y - 9 + 8(18) + 12 = 180\\\\3y - 9 + 144 + 12 = 180\\\\3y + 147 = 180\\\\3y = 180 - 147\\\\3y = 33\\\\y = 11[/tex]
Therefore, using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:
11. x = 12
12. x = 13
13. x = 19
14. x = 4
15. x = 21; y = 8
16. x = 26; y = 9
17. x = 18; y = 11
Learn more here:
https://brainly.com/question/18963166
Someone please help me with this and explain it please.
===========================================
Explanation:
Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)
2pi = 6.28sqrt(42) = 6.48sqrt(34) = 5.83We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48
So the order of the terms, from smallest to largest, is [tex]\sqrt{34}, 6, 2\pi, \sqrt{42}[/tex]
What energy transfer is occurring when a battery-powered toy rolls across the floor?
(3 points)
1) Stored mechanical energy is converted to thermal energy.
2) Stored mechanical energy is converted to mechanical energy.
3) Stored chemical energy is converted to thermal energy.
4) Stored chemical energy is converted to mechanical energy.
Answer:
4) Stored chemical energy is converted to mechanical energy.
Step-by-step explanation:
The battery represents energy stored in the form of chemical compounds. The motion represents mechanical energy. The transfer occurs between these forms of energy.
4) Stored chemical energy is converted to mechanical energy.
7. if m< FGE = 5x + 10, find the value of x so that FC AE
8. if m
Answer:
22
Step-by-step explanation:
equation of the line that passes through the point (-8,-1) and is parallel to the line x-4y=4x−4y=4?
Answer:
Step-by-step explanation:
x - 4y = 4
-4y = -x + 4
y = 1/4x - 1
y + 1 = 1/4(x + 8)
y + 1 = 1/4x + 2
y = 1/4x + 1
- 6 - 11
please help i don’t know what i’m doing!!
Answer:
-17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
this is the correct answer
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomil. 3z−2 2x3+x−12 9b 9x−2
Given that:
The expressions are [tex]3z−2, 2x^3+x-12, 9b, 9x-2[/tex].
Solution:
Monomial : It contains single terms.
Binomial : It contains two terms.
Trinomial : It contains three terms.
Polynomial : It contains atleast one algebraic term.
Degree of polynomial : It is highest power of the variable.
[tex]3z-2[/tex] , here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.
[tex]2x^3+x-12[/tex] , here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.
[tex]9b[/tex] , here b is a constant. So, it is not a polynomial and it is a monomial.
[tex]9x-2[/tex] , here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.
determine the value of the expression. -56*-8+(-3)
will get brainiest and 20 points!!
Answer:
445
Step-by-step explanation:
Multiply first the -56 and -8 (PEMDAS):
-56*-8+(-3)
448 - 3(negative × negative is positive)
=445
-56-8+(-3)
--=+so-56 -8 -3
67Picture!! Pleassseeee answer fasttt! Branlist answer!
Solving equations to find the angle measure angle measurement
It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each.
If Tyra buys 20 tickets, how much would it cost her for the fair?
20 d - $12
$12 d + 20
$12 - 20 d
$12 + 20 d
Answer:
Answer:
12 + 20d
Step-by-step explanation:
OG fare = 12
Ticket price =d
20 Tickets =20d
Answer:
$12 + 20 d
Step-by-step explanation:
Right of the bat, we know she‘ll pay $12 just to get in to the fair.
If Tyra wanted to buy 20 tickets, it’ll cost her d dollars each. Which is 20 d.
Add 12 and 20(d) together and it’ll determine how much Tyra will spend in total at the fair.
Overnight, the temperature in Mayville was 4°F. But by the following afternoon, the temperature had risen 11°F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added 4+11 and came up with an answer of 7°F. Is Rose correct? Why or why not?
Answer:
Rose was wrong because 4 + 11 is not 7; the answer would be 15*F
Step-by-step explanation:
4+11 = 15
hope this helps
Rose is incorrect as the temperature in Mayville that afternoon
(4 + 11)°F = is 15°F not (-4 + 11)°F = 7°F.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Overnight, the temperature in Mayville was 4°F.
But by the following afternoon, the temperature had risen 11°F.
∴ The temperature in Mayville that afternoon is the sum of the total temperatures which is,
= (4 + 11)°F.
= 15°F
learn more about numerical expressions here :
https://brainly.com/question/29199574
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5. The temperature dropped 3 oc every hour for 5 hours. Write an integer that represents the change in temperature.
Answer:
let the earlier temperature be x
then change in temperature is x - 15
Write the word phrase for the equation 7x + 10 = 14 divided by x
Step-by-step explanation
ten plus x multiplied by seven is equal to fourteen divided by X
help me plzzzzz need help
Answer:
D.
15/20, 0.75
Hope this helps! :)
Hassan loves cruising in his new sports car. His only complaint is how much gas it uses, since it only gets 20 miles per gallon. If Hassan drives 60 miles per hour, how many gallons of gas does his car need for a 75-minute drive?
Answer:
3.75 gallons
Step-by-step explanation:
speed = distance/time
s = d/t
d = st
d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles
In 75 minutes of driving at 60 mph, he drives 75 miles.
fuel economy = distance/volume
volume * fuel economy = distance
volume = distance/(fuel economy)
volume = (75 miles)/(20 miles/gal)
volume = 3.75 gallons
Answer: 3.75 gallons
Si multiplicó una ecuación de grado 2 con una ecuasion de grado 3 ¿Cuál es el grado de la ecuación resultante?