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Answer:
x +3x = 180x = 45 . . . . . . . choice C3x = 135 . . . . . choice FStep-by-step explanation:
Let x represent the measure of the original angle in degrees. Three times its measure is 3x. That will be the supplement if the sum of the two angles is 180°.
x + 3x = 180 . . . . . . . . . equation for finding the angle
x = 180/4 = 45 . . . . . . divide both sides by 4
3x = 3(45) = 135
The first angle is 45°. The second angle is 135°.
1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60
Answer:
30°
Step-by-step explanation:
180 - 90 - 60 = 30
In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.
Answer:
The change of the person landing on each side is 1/8
Step-by-step explanation:
Evaluate: (x^2-1)/(x-1) if x goes to 1?
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)} [/tex]
[tex]\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2[/tex]
would it be the same
Answers:
a) No, the figure would not look the same. See the diagram belowb) Yes the figure would look the same after a half turnc) Yes the figure would look the same after a full turn==================================================
Explanations:
a) The figure doesn't have 90 degree symmetry, so that's why we have a different looking figure after a quarter turn.b) The figure does have 180 degree symmetry. That's why it looks the same after a half turn (aka 180 degree turn)c) Rotating any figure 360 degrees, aka a full turn, will get everything back where it started. It doesn't matter if the figure has any symmetry or not.Can u help me with this?
Answer:
b
Step-by-step explanation:
it is the right answer pls believe me
Jasmine drinks 500 ml of water 3 times a day. How many days would it take to drink 9 liter of water?
Step-by-step explanation:
500ml. × 3 times when you get that you multiple it by the days and then takeaway
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14x^4y^6/7x^8y^2
A. 2y^4/x^3
B. 7y^3/x^2
C. 7x^4y^4
D. 2x^2y^3
Answer:
The answer is A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this Helps ;)
Find the sum of smallest 7-digit number and largest 4-digit number
Step-by-step explanation:
[tex]smallest \: 7-digit = 1000000 \\ \\ largest \: 4 - digit \: number = 9999 \\ \\ sum = (1000000 + 9999) \\ \\ sum = \: 1009999 \\ \\ hope \: it \: is \: helpful \: to \: you \: (◕ᴗ◕✿)[/tex]
JJM Corporation recently issued 10-year bonds at a price of $1,000. These bonds pay $60 in interest each six months. Their price has remained stable since they were issued, that is, they still sell for $1,000. Due to additional financing needs, the firm wishes to issue new bonds that would have a maturity of 10 years, a par value of $1,000, and pay $40 in interest every six months. If both bonds have the same yield, how many new bonds must JRJ issue to raise $2,000,000?
Answer:
2,596
Step-by-step explanation:
Calculation to determine how many new bonds must JRJ issue to raise $2,000,000
Given,
Coupon rate = 8.0%
Face value = 1000
Year to maturity = 10
NPER = 20
First step is to calculate the PMT using this formula
PMT = Face value × Coupon rate / 2
Let plug in the formula
PMT=(1000 × 0.08) / 2
PMT= 80/2
PMT= 40
Second step is to calculate the Rate using this formula
Yield = 12%
Rate = Yield / 2
Let plug in the formula
Rate= 12% / 2
Rate= 6%
Third step is to calculate the net proceeds using this formula
Net proceeds= PV(rate, NPER, PMT, FV)
Let plug in the formula
Net proceeds= PV(6%, 20, 40, 1000)
Net proceeds= $770.60
Now let calculate how many new bonds must JRJ issue to raise $2,000,000
New bonds needed= $2,000,000 / 770.60
New bonds needed= 2,596 bonds
Therefore how many new bonds must JRJ issue to raise $2,000,000 will be 2,596 bonds
The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Class} & {Frequency} & A\ 39-44 & 1 & B\ 45-50 & 3 & C\ 51-56 & 8 & D\ 57-62 & 6 & E\ 63-68 & 8 & F\ 69-74 & 3 & G\ 75-80 &2 \ \end{array}[/tex]
Solving (a): The histogram
To do this, we simply plot each data on each class on the x-axis and the frequency on the y-axis.
(See attachment for histogram)
Solving (b): The type of distribution
The histogram appears to have a bell shape. This means that the distribution is approximately normal.
PLEASE PLEASE HELP ME
Answer:
x = 77
Step-by-step explanation:
All angles in a triangle equal to: 180
70 + 33 = 103
180 - 103 = 77
Have a nice day!
Which one hurry
A.9
B.18
C.27
D.33
Answer:
It’s c I do believe
Answer:
seriously, talk to your teacher. its 21 units squared.
I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.
so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
(xii) x^6 - 8 divide by x^2 - 2
Answer:
1/x^2
Step-by-step explanation:
x^6-8 / x^2-2
x^-2/x^0
x^-2/1
do reciprocal
1/x^2
Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.
que por qué me va a dar 70
what number x anuder number is =70
Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10
Step-by-step explanation:
Simplify the following expression:
-5[(x3 + 1)(x + 4)]
A. 4 + 4x3 + x + 4
B. x4 + 3 + 4x
C. -5x4 + 20X3 - 5
D. -5x4 - 20X3 - 5x- 20
-5[(x3 +1)(x + 4)]
=> -5[ x3 (x+4) + 1 (x+4) ]
=> -5 [ x4 + 4x3 + x + 4x ]
=> -5x4 -20x3 -5x -20x
option D is the correct one
Solve for x:
X-7 = 4
O A) x = 11
OB) x= 28
OC) x = 14
OD X=3
Answer:
x = 11
Step-by-step explanation:
X-7 = 4
Add 7 to each side
x-7+7 = 4+7
x = 11
Answer:
x=11
Step-by-step explanation:
Move the constant to the right -hand side and change its sign
x= 4+7
then add the numbers
x= 4+7
which =11
Dave is helping his grandmother make trail mix. His grandmother ask
him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, Dave mix ?? cup of fruit for a single, cup of nuts.
9514 1404 393
Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts
A box is shaped like a square prism. The box is 10 centimetres high and it’s volume is 150 cubic centimetres.
Answer:
B I hope
Step-by-step explanation:
The length of the base of a square prism is 3.872 cm and the surface area of a square prism is 184.9 cm ²
Volume of a square prismLet h is the height length of the prism and a is the length of base edge.
then the volume is a²h and the surface area is 2a²+4ah
How to base length?(a) The volume of a square prism is 150 cm³ and 10 cm is height length
Let a is the length of base edge.
We know the volume is a²h.
Substitute the values
a²(10) = 150
a² = 15
a = √15
a = 3.872 cm
Since length of base is 3.872 cm.
How to find the surface area of a square prism?(b) The height length of the prism is 10 cm and the base edge length is √15 cm.
We know the surface area is 2a²+4ah
Substitute the values
S = 2(√15)² + 4 (3.87 )(10)
= 2(15) + 40(3.87)
= 30 + 154.91
= 184.9 cm ²
Since the surface area of a square prism is 184.9 cm ².
Answer to the question
Answer:
(Opt.D) x = 14
Step-by-step explanation:
<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)
∴36 + 11x - 10 = 180
26 + 11x = 180
11x = 180 - 26
11x = 154
x = 154/11
x = 14
Hope this helps u
Please mark as brainliest
Thank You
What is the measure of angle R
Answer: 37 degrees
Explanation:
We have a right triangle because the tangent is always perpendicular to the radius, at the point of tangency.
That then leads to angles P and R being complementary, ie they add to 90
P+R = 90
R = 90-P
R = 90-53
R = 37
find the missing angles
[tex]\huge\bold{Given :}[/tex]
Angle a = 39°
Angle c = 123°
[tex]\huge\bold{To\:find :}[/tex]
The measure of angle b.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
∠ b = 18°
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ a + ∠ b + ∠ c = 180°
➪ 39° + ∠ b + 123° = 180°
➪ ∠ b + 162° = 180°
➪ ∠ b = 180° - 162°
➪ ∠ b = 18°
Therefore, the measure of ∠ b is 18°.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ a + ∠ b + ∠ c = 180°
✒ 39° + 18° + 123° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
I have one qt of solution diluted out 1:4 How much do I need to add to end up with a final product that’s a 1:10 solution?
Answer:
1.1352 L
Step-by-step explanation:
L = qt 1.0567
qt = 0.946 L
1:4 = 5
0.946/5 = 0.1892 L one part
0.1892 x 11 = 2.0812 11 parts as 1+10 =11
Answer therefore is subtracting 5 from 11 parts to get the final 6 parts added = 2.0812 - 0.946
= 1.1352 L
Which of the following is equivalent to log50^7 rounded to three decimal places
Answer:
11.886
Step-by-step explanation:
Given :
[tex]log 50^7[/tex]
Applying formula
[tex]log a^m=m log a[/tex]
So,
[tex]7 log 50\\=7(1.698)\\=11.886[/tex]
Answer will be 11.886
prove the two triangles are congruent?
Answer:
they are congruent by sss axiom
Step-by-step explanation:
de=fg (given)
df=ge(given)
ef=ef(being common side)
proved brainliest plzz
Jose spent 2 hours watching TV.
During that time, there were 12
minutes of commercial. What
percent of the time Jose spent
watching commercials?
Answer:
10%
Step-by-step explanation:
2 hours is 120 minutes.
120/12 = 10%
What is XY? The triangle XZY is right angle triangle. Angle z is right angle and angle X and Y are 45 degree. The side YZ is 5. A. 2–√ B. 5 C. 52–√ D. 10
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Answer:
C. 5√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the length of either leg. The given leg (YZ) is 5 units, so the hypotenuse XY is 5√2 units.
Determine the solution set of (x-4)^2=12.
A: {4+2 square root of 3, 4-2 square root of 3}
B: {4-2 square root of 3, 4-2 square root of 3}
C: {2 square root of 3 + 4, 2 square root of 3 -4}
Step-by-step explanation:
answer is in photo above
Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY
A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2
Answer:
E. Slope: 0
F. Equation: y = -2
Step-by-step explanation:
✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.
The line that is parallel to the x-axis would have a slope of 0 as well.
Therefore, slope (m) = 0
✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.
Substitute (x, y) = (3, -2) and m = 0 into y = mx + b
-2 = 0(3) + b
-2 = 0 + b
b = -2
✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:
y = 0(x) + (-2)
y = 0 - 2
y = -2
What is the LOWER QUARTILE OR Q1 of the data set: 24, 25, 29, 30, 31, 31. 32, 34, 34?*
Answer:
n=9
Step-by-step explanation:
Q1=n+1/4
=9+1/4
=10/4
=2.5