Answer:
[tex] < b = 180 \degree - (2x + 40)\degree \\ =( 140 - 2x)\degree[/tex]
Answer:
m∠B = 50º
Step-by-step explanation:
B = 180 - (2x + 40) = 180 - 2x - 40 = -2x + 140
C = 180 - (3x - 45) = 180 - 3x + 45 = -3x + 225
From the Exterior Angle Theorem
B + C = 140
-2x + 140 - 3x + 225 = 140
-5x + 365 = 140
-5x = -225
x = 45
-------------------
B = -2x + 140
B = -2(45) + 140
B = -90 + 140
B = 50º
What is the 100th term of the sequence with a1=222 and d=-5
Answer:
--273
Step-by-step explanation:
100th term is equal a1 + 99d so
100th term = 222 + (-5×99) = -273
In the triangle below,
b =____.
If necessary, round your answer to two decimal places.
Answer:
35.00
Step-by-step explanation:
Sin(B)/b = Sin(A)/b
a* Sin(B) = b Sin(A)
b = a * Sin(B)/ Sin(A)
Plug in --> Get answer
The value of b is 34.75.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
From the law of sin,
Sin 29.8/c = Sin 34.5/22 = Sin B/b
Now,
The sum of the angles in a triangle is 180.
So,
∠A + ∠B + ∠C = 180
34.5 + ∠B + 29.8 = 180
∠B = 180 - (34.5 + 29.8)
∠B = 115.7
Now,
Sin 34.5/22 = Sin B/b
0.57/22 = Sin 115.7/b
0.57/22 = 0.90/b
b = (0.90 x 22) / 0.57
b = 34.74
Thus,
The value of b is 34.75.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Which is the best approximation for the solution of the system of equations?
Zoom in if u have too
Answer:
(0.88, 0,65)
Step-by-step explanation:
what do we have to do ? I assume we need to find the crossing point between the 2 lines.
when looking at the graphic, we can already rule out the first, third and fourth option.
none of the coordinates of that point is larger than 1 in any direction or smaller than 0.5.
so, just by looking at things I immediately "bet" on answer option 2 (0.88, 0.65).
but let's check.
y = -2x/5 + 1
y = 3x - 2
for the crossing point both functions must produce the same functional value.
=>
-2x/5 + 1 = 3x - 2
-2x/5 + 5/5 = 15x/5 - 10/5
-2x + 5 = 15x - 10
15 = 17x
x = 15/17 = 0.88...
y = 3×0.88... -2 = 0.65...
hurray, our original observation and "suspicion" is confirmed.
share 747 in the ratio 2:7 between Tom and Ben
Answer:
tom = 166, ben = 581
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
therefore 1 part = 83
83 x 2 = 166
83 x 7 = 581
tom has 2 parts so he has 166
ben has 7 parts so he has 581
Answer:
Tom has 166.
Ben has 581.
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
83 × 2 = 166
83 × 7 = 581
can someone pls help me with this one !
Answer:
√26
Step-by-step explanation:
Screenshot of the solution: https : // snipboard. io / D53Cno . jpg (erase the spaces)
Find the product: (-8)(9)(2)
3. Karen opens a credit account to purchase a new bed. She makes a down payment of S200 on a $1.000 bec
What is her financial situation?
Answer:
She will probably spend 200$ a month for 4 more months to get the bed payed off
Step-by-step explanation:
What is the value of x in the equation -8(4x-10) = 24?
Answer:
[tex]x = \frac{7}{4} [/tex]
Step-by-step explanation:
[tex]−8(4x−10)=24[/tex]
[tex] \frac{ - 8(4x - 10)}{ - 8} = \frac{24}{ - 8} [/tex]
[tex]4x - 10 = \frac{24}{ - 8} [/tex]
[tex]4x−10=−3[/tex]
[tex]4x=−3+10[/tex]
[tex]4x=7[/tex]
[tex]x = \frac{7}{4} [/tex]
Hope it is helpful...Answer:
[tex]x= \frac{7}{4} [/tex]
Step-by-step explanation:
Let's solve:
[tex]−8(4x−10)=24[/tex]
Step 1: Simplify both sides of the equation.
[tex]−8(4x−10)=24 \\ (−8)(4x)+(−8)(−10)=24(Distribute) \\−32x+80=24[/tex]
Step 2: Subtract 80 from both sides.
[tex]−32x+80−80=24−80 \\ −32x=−56[/tex]
Step 3: Divide both sides by -32.
[tex] \frac{ - 32x}{ - 32} = \frac{ - 56}{ - 32}
\\
x= \frac{7}{4} [/tex]
Helpppppppppppppppppppppppppppppppppppppppp
Answer:
5^18
Step-by-step explanation:
since its a power to a power, you multiply so -6 x -3 = 18 so Answer = 5^18
what is the angle of ABF?
========================================
Explanation:
Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.
Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.
Since angle 3 is 55 degrees, angle 1 is also 55 degrees.
--------------
Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)
In other words,
(angle ABJ) + (angle ABF) = 180
angle ABF = 180 - (angle ABJ)
angle ABF = 180 - (angle 1)
angle ABF = 180 - (55)
angle ABF = 125 degrees
**HURRRYYYYY
Which expression is represented by the set of algebra tiles below?
x
O X+6
1
X-6
O EX
0 Ex- 1
Answer:
x - 6
Step-by-step explanation:
I am unfamiliar with such algebra tiles, but logically that set of tiles tells me :
1 x, -1, -1, -1, -1, -1, -1
so,
1×x + 6×(-1) = x - 6
find two consecutive whole numbers
Answer:
9 and 10
Step-by-step explanation:
square root of 86 is 9.2 (ish)
Please help me, I don’t understand how I keep getting it wrong!
9514 1404 393
Answer:
1.2 t/m³
Step-by-step explanation:
1 tonne is 1 Mg = 10⁶ g
1 m³ is (100 cm)³ = 10⁶ cm³
The conversion is ...
(1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)
= 1.2(10⁶)/(10⁶) t/m³
= 1.2 t/m³
__
For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.
PLEASE HELP RN!! if any of you guys see this please help
Answer: A.46
Step-by-step explanation: because it jus is dawg
Help,anyone can help me do quetion.
Answer:
Step-by-step explanation:
angle y +60 = 180 degree (being adjacent angles of a trapezium )
angle y =180 - 60
angle y =120 degree
angle x+30 degree = 180 degree (being opposite angles of a trapezium)
angle x =180 - 30
angle x=150 degree
75 + 145 + 90 + y = 360 degree (sum of angles of a quadilateral is 360 degree)
310 + y = 360
y = 360 - 310
y = 50 degree
Help me please ASAP tysm
A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball
Given:
Diameter of ball = 8 cm
To find:
The volume of the ball.
Solution:
We know that the radius of sphere is half of is diameter.
It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:
[tex]r=\dfrac{8}{2}[/tex]
[tex]r=4[/tex]
The radius of the ball is 4 cm.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get
[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]
[tex]V=267.946667[/tex]
[tex]V\approx 267.95[/tex]
Therefore, the volume of the ball is about 267.95.
Fill in the blank: 9(4x + 5) = 36x +
Answer:
45
Step-by-step explanation:
9(4x + 5)
9*4x + 9*5
36x + 45
Answer:
45Step-by-step explanation:
9*4x +9*5
= 36x + 45
Bye
:-)
find the value of x in |2x_5|+7=20
Answer:
can you plz rewrite the question I want to help but I can't see it. you can even take a picture of the question.
For every 12 slices of pizza sold at Pal's Pizza Shop, 3 slices are pepperoni, 4 are sausage, and the rest are cheese. What is the ratio of pepperoni to cheese?
Answer:
3 to 5
Step-by-step explanation:
There are 3 slices of pepperoni, and there are 5 slices of cheese. Since it says pepperoni to cheese, peperoni would go first. Make sure to use order when calculating ratios.
Hope this helps! Have a wonderful rest of your day!
-kiniwih426
what is a three digit number for 100,10,1
Answer:
111
hope that helps!
anyone wanna play valorant right now? Silver
help, with this question please. i’m not sure if anyone’s asked it yet.
are u taking a test Sir??
Take away the volume of 480 from the volume of 3240 What is the answer? [PLEASE I NEEEEEEDDDDD IT NOWWWWWWWW PLEASEEEEEE
Answer: 2760
Step-by-step explanation:
Please FIND THE VALUE OF x.
Answer:
x = 55 degree
Step-by-step explanation:
let the another angle be y
y+108=125 (sum of two interior opposite angle is equal to the exterioe angle formed)
y=125-108
y=17
y+x+108=180 degree (sum of interior angle of a triangle)
17 + x + 108 =180
x + 125 =180
x = 180-125
x=55
If y=−3 , then 4+y4y=
Answer:
replace the ys with -3 then solve it
Answer:
40
Step-by-step explanation:
4 + 3(4×3)
4+ 3(12)
4 + 36
= 40
hope this helps please like and mark as brainliest
Oh and please help me with my question
what is the midpoint of the line segment graphed below. (1, -1) and (6,-8)
Answer:
(7/2, -9/2)
Step-by-step explanation:
to find the midpoint, we can use the midpoint formula, which is:
(x1+x2)/2, (y1+y1)/2
since we know the points (1,-1) and (6,-8) we can plug this into the formula:
for the x-coordinate: (1+6)/2=7/2 (or 3 1/2)
for the y-coordinate: (-1+(-8)/2=-9/2 (or -4 1/2)
so, the midpoint of the line segment would be (7/2, -9/2)
What is the equation of the line that
contains the points (0, 5) and (3, 7)?
To find an equation of a line, you have to know the value of slope first. We can find the value of slope by using the formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term represents the slope from y = mx+b.
We are given two coordinate points. Substitute the points in the formula.
[tex] \large{m = \frac{7 - 5}{3 - 0} } \\ \large{m = \frac{2}{3} }[/tex]
Therefore the slope is 2/3.
Next we find the y-intercept. In the form of y = mx+b where m = slope and b = y-intercept. We have got slope, except the y-intercept. We can find the y-intercept by substituting one of gjven points in the equation of y = mx+b.
Since we know the slope - we can rewrite the equation like below:
[tex] \large{y = \frac{2}{3} x + b}[/tex]
Then choose one of two points to substitute. I will choose (0,5). Therefore substitute x = 0 and y = 5.
[tex] \large{5 = \frac{2}{3} (0) + b} \\ \large{5 = 0 + b} \\ \large{b = 5}[/tex]
Thus the y-intercept is (0,5). Note that if the question gives you (0,a) point. That is the y-intercept of graph. So b = a if given (0,a).
Rewrite the equation by substituting the b-value.
[tex] \large{y = \frac{2}{3} x + 5}[/tex]
Hence, the equation of a line that contains those points is y = 2x/3 + 5
Answer
y = 2x/3 + 5Hope this helps! Let me know if you have any doubts.
Ari has a total of 22 coins consisting of pennies and nickels. The total value of coins is $0.54. how many pennies does he have?
Answer:
There are 8 nickels and 14 pennies
Step-by-step explanation:
Represent the number of pennies by p and nickels by n. Then:
p + n = 22, or n = 22 - p
Coin values:
($0.01/penny); ($0.05/nickel). Therefore, the relation showing the amounts of money involved is:
($0.01/penny)p + ($0.05/nickel)n = $0.54.
But we found earlier that n = 22 - p. Therefore, the previous equation becomes:
($0.01/penny)p + ($0.05/nickel)(22 - p) = $0.54.
Multiply all three terms by 100 to eliminate the decimal fractions:
1p + 5(22 - p) = 54, or:
1p + 110 - 5p = 54, or:
-4p = -56
Thus, p = 14. If p = 14, then n = 22 - 14 = 8.
There are 8 nickels and 14 pennies.
Check: 8($0.05) + 14($0.01) = $0.54 (correct)
Given
f (x) = x3 + 1
and
g(x) = x - 1
simplify the function operation
f (x) – g(x)
Answer:
first option
Step-by-step explanation:
[tex] {x}^{3} + 1 - (x - 1) \\ {x}^{3} + 1 - x + 1 \\ {x}^{3} - x + 2[/tex]