===================================================
Work Shown:
(angle HID) + (angle DIJ) = angle HIJ
(100) + (8x+11) = 21x+7
100+8x+11 = 21x+7
8x+111 = 21x+7
111-7 = 21x-8x
104 = 13x
13x = 104
x = 104/13
x = 8
Use this x value to find angle HIJ
angle HIJ = 21x+7
angle HIJ = 21*8+7
angle HIJ = 175 degrees
---------------------------
Extra info:
You can also use that x value to find angle DIJ
angle DIJ = 8x+11
angle DIJ = 8*8+11
angle DIJ = 75
Then add this to angle HID to get
angle HID + angle DIJ = 100+75 = 175
This matches with angle HIJ = 175
So this confirms angle HID + angle DIJ = angle HIJ which helps confirm our answers.
Which number is closest to 56 ?
7.4
6.8
8.3
6.7
Answer:
6.8Step-by-step explanation:
6.8
487.4
288.3
246.7
42Please help! ASAP I just need number 1
Answer:
no you can not make 1 into a triangle
Step-by-step explanation:
16 cm, 30 cm, 45 cm
if you want to draw a triangle with these sides you would add
16 + 30 = 46
the longest side would have to be greater then the other 2 sides
Solve for x.
3x + 9
X=
Answer:
I think the answer may be 30....But that's only a random guess
Plsss lemme know the real answer in the comments
Step-by-step explanation:
Kendall measured the temperature outside to be 68°F. She needs to convert the temperature to degrees celsius.
C=5/9(F-32)
[]68°F is 20°C
[]68°F is 5.7°C
Answer:
68°F is 20°C
Step-by-step explanation:
C = (5/9)(F - 32)
C = (5/9)(68 - 32)
C = (5/9)(36)
C = 5 * 4
C = 20
Answer: 68°F is 20°C
abcdefghijklmnopqrstuvwxyz
Answer:
umm hey
Step-by-step explanation:
Answer:
munny
Step-by-step explanation:
How do I do this?
Give the algebraic expression for each of the following:
The sum of 20 and a number, m
Answer:
The sum of 20 and a number,m = 20+m
Line m is represented by the equation 2x + 4y - 12. Which of the following equations represents a line perpendicular to line m and intercects line m at its y-intercept?
-2x + y = 3
- 2x + y = 12
4x - 2y = 3
4x - 2y = 12
Answer:
A) -2x + y = 3
Step-by-step explanation:
The equation of the line that is perpendicular to the given line and passes through its y-intercept is -2x + y = 3.
We are given that;
The equation= 2x + 4y - 12
Now,
The given line is 2x + 4y - 12 = 0.
To find the slope of a line perpendicular to this line, we need to find the slope of the given line first.
Rewrite the equation in slope-intercept form which is given by:
y = mx + b
where m is the slope and b is the y-intercept.
2x + 4y - 12 = 0
4y = -2x + 12
y = (-1/2)x + 3
Hence, the slope of the given line is -1/2.
The slope of a line perpendicular to this line is the negative reciprocal of this slope which is given by:
[tex]m(perpendicular)[/tex] = -1/m = -1/(-1/2) = 2
To find an equation of a line that passes through the y-intercept of the given line and has a slope of 2.
The y-intercept of the given line can be found by setting x = 0:
2(0) + 4y - 12 = 0
y = 3
Hence, the y-intercept of the given line is 3.
The equation of a line with a slope of 2 and passing through (0,3) can be found using point-slope form which is given by:
y - y1 = m(x - x1)
where (x1,y1) = (0,3) and m = 2.
Substituting these values we get:
y - 3 = 2(x - 0)
y - 3 = 2x
y = 2x + 3
Therefore, by the equation answer will be -2x + y = 3.
To learn more about equations :
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0.00105 in scientific notation
Answer:
1.05 × 10^-3
Step-by-step explanation:
The decimal number 0.00105 in scientific notation is [tex]1.05 \times 10^{-3}.[/tex]
Scientific notation is a way to represent numbers that are either very large or very small.
It consists of two parts: the coefficient and the exponent.
The coefficient is a decimal number between 1 and 10, and the exponent indicates the power of 10 by which the coefficient is multiplied.
In the case of 0.00105, we can express it in scientific notation as [tex]1.05 \times 10^{-3}.[/tex]
To learn more on Number system click:
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The sum of 2 negative integers is always negative
True or false and why?
Help mee pleasee.....
Answer:
x = 1845°Step-by-step explanation:
First part:
Write out an equation to represent the image: 2x + 3x = 90Combine like terms: 5x = 90Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 18Second part:
90 ÷ 2 = 45°I hope this helps!
If DG = 10, what is the value of x?
X + 1
2x -15
0
G
0 A 12
OB. 8
O C.
4
cole
O D. 14
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given:
[tex]DG = 10[/tex]
See attachment for complete question.
From the attachment, we can conclude that:
[tex]x + 1 + 2x - 15 = DG[/tex]
Substitute 10 for DG
[tex]x + 1 + 2x - 15 = 10[/tex]
Collect Like Terms
[tex]x + 2x = 10 + 15 - 1[/tex]
[tex]3x = 24[/tex]
Solve for x
[tex]x = 24/3[/tex]
[tex]x = 8[/tex]
WHOEVER CAN DO THIS CORRECTLY ILL LOVE U FOREVER!!
compare each pair of grocery items and work out which option is the better value for money.
a) 5kg of potatoes for $4.95 or 7.5kg for $7.15
b) a packet of four batteries for $3.88 or a packet of ten for $9.89
c) a 500 g tin of coffee for $9 or a 150 g had for $2.99
Answer:
A
Step-by-step explanation:
i just know :)
Solve for x : ax+v=3(x-c)
Answer:
[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]
Step-by-step explanation:
--expand--
ax+v=3x-3c
--subtract v from each side--
ax+v-v=3x-3c-v
--simplfy--
ax=3x-3c-v
--subtract 3x from both side--
ax-3x=3x-3c-v-3x
--simplfiy--
--factor--(factor out the x from ax-3)
[tex]x\left(a-3\right)=-3c-v[/tex]
[tex]\frac{x\left(a-3\right)}{a-3}=-\frac{3c}{a-3}-\frac{v}{a-3};\quad \:a\ne \:3[/tex]
[tex]x=\frac{-3c-v}{a-3};\quad \:a\ne \:3[/tex]
<3
Red
what's the answer to 2x^2 x= 10
Answer:
1
Step-by-step explanation:
can someone tell me how to solve translations please?
Step-by-step explanation:
Hey there!
Here; The coordinates are ; H(-4,-2), G(-5,3), F(-2,1)
The translation P(x,y) = P'(X+7,y)
Use same formula.
H(-4,-2) -------> P'(3,-2)
G(-5,3)-----------> G'(2,3)
F(-2,1)------------> F'(5,1)
Therefore, the answer is Option C.
Hope it helps..
Pls help ASAP will give brianist
Answer:
I believe the answer is D.25
Step-by-step explanation:
Hope this helps!!
Find the value of (√ + √)
Answer:
2√
Step-by-step explanation:
Answer:
2√
Step-by-step explanation:
How do I solve this equation
2.4c-2=0.4(1+6c)
I end up with -2= 0.4
What is the value of x?
64 68
(8x -12)
(2x + 18)
The weight of one serving of skittles is 1.5 ounces. How much will 22.5 servings weigh?
Answer:
33.75 ounces
hope this helps
HELP!!!!HELP!!!!HELP!!!!HELP!!!!
In this figure, a line through points x and y will ______.
A. Be perpendicular to AB but not bisect it
B. Be the perpendicular bisector of AB
C. Bisect AB but not perpendicular
D. Be unrelated to AB
Answer:
B
Step-by-step explanation:
From the figure, its clear that the compass drew arcs like below:
With A as centre, and more than half of the length of AB as radius, one arc is drawn.
With the same radius, with B as centre, another arc is drawn.
The points of intersections of the arcs are X and Y.
Clearly, this is the construction of a perpendicular bisector of the line segment AB.
Hence, if we draw a line segment through XY, it will be a perpendicular bisector of AB.
Step-by-step explanation:
Which category does each card go into?
Step-by-step explanation:
E3, E6, E11, E7: no solution
E1, E12 : 1 solution
E2, E8, E10 : infinite solutions
Answer:
See attached
Step-by-step explanation:
The answer is attached
Infinitely many solutions
E2, E8, E10One solution
E1, E7, E12No solution
E3, E6, E11Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction sine x, where x Is an element of [0, 2Pi)?
Left-brace 0, pi right-brace
Left-brace 0, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace pi, StartFraction 3 pi Over 2 EndFraction
Answer:
C.
Step-by-step explanation:
got it right on edge :)
The given trig function consist of trig values of common angles;
The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]
Reason:
The given function is presented as follows;
[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Where;
x ∈ [0, 2·π)
We have;
cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)
[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]
Which gives
[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Therefore, we get;
[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]
cos x = 0
[tex]cos \left(\dfrac{\pi}{2} \right) = 0[/tex]Therefore;
The possible solutions (x-values) to cos x = 0 are; [tex]0 \leq \dfrac{n \cdot \pi}{2} \leq 2 \cdot \pi[/tex]Where;
n = 1, 3, 5, ...
x ∈ [0, 2·π)
We get;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]Learn more here:
https://brainly.com/question/12774575
find the unit rate kenny reads 4 over 9 pages in 3 over 4 minutes
Answer:
Unit Rate = (4/9)/(3/5) = (4/9)(5/3) = 20/27 pages per minute
Report 01/07/18
Step-by-step explanation:
find the value of x..
[tex]x + 85 + x + 64 + 45 = 180°[/tex]
[tex](x + x) + (85 + 64 + 45)= 180[/tex]
[tex]2x + 194= 180[/tex]
[tex]2x = 180 - 194[/tex]
[tex]2x = - 14[/tex]
[tex]x = \frac{ - 14}{ \: \: \: \: 2} [/tex]
[tex]x = - 7[/tex]
[tex]∴ \: the \: value \: of \: x \: = - 7[/tex]
[tex]4(3x-2)=16[/tex]
Answer:
x=2
Step-by-step explanation:
12x-8=16
12x=24
x=2
17. The distance traveled at a constant speed varies
directly with the amount of time traveled. Sara
drove 200 miles at a constant speed of 50 mi/hr.
Holly drove for the same amount of time as Sara
but at a constant speed of 65 mi/hr. Find the
distance traveled by Holly. Justify your answer.
Hurry plz
Answer:
260 miles
Step-by-step explanation:
Sara made it to her destination in four hours, while Holly made it to her destination traveling 260 miles. This can be calculated by taking Sara's 200 miles, and dividing it by 50 mph to get a total of four hours spent driving. If Holly is also driving for four hours, but instead traveling at 65 mph, you can take 65 and multiply it by four hours to get a total of 260 miles. Hope this helps!
b) In the diagram below, two lines are drawn. Explain how you could determine the values
of b, c, and d, using at least two of the following terms: linear pair, vertical angles,
congruent, & supplementary. ( 3 points)
b
U
40°
d
Answer/Step-by-step explanation:
When twi straight lines intersect, they form 2 pairs of opposite vertical angles that are congruent.
In the diagram given, the following pairs of vertical angles are formed:
<c and 40°
<b and <d
<c = 40° (vertical angles are congruent)
<b and 40° are linear pairs. They are both supplementary. Therefore:
<b = 180° - 40
<b = 140°
<d = <b (vertical angles)
<d = 140° (substitution)
The picture attached has the question! Please hurry!
Answer: C
The line crosses 1 on the y-axis which mean the equation is y = 0.3x + 1
A. 3x − 7 = −19; x =
Answer:
x =-4
Step-by-step explanation:
3x − 7 = −19
Add 7 to each side
3x − 7+7 = −19+7
3x = -12
Divide by 3
3x/3 = -12/3
x =-4