Answers
Answer:
[tex]m\angle 2=33^\circ[/tex]
Step-by-step explanation:
Right Triangle
The figure shows a right triangle with angles 2 and 3 unknown.
The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:
[tex]m\angle 2+m\angle 3=90^\circ[/tex]
The measures of both angles are expressed as functions of x. Substituting their values:
x+8 + 2x + 7 = 90
Simplifying:
3x + 15 = 90
Operating:
3x = 90 - 15 = 75
Solving:
x = 75 / 3 = 25
x = 25°
Now, the measure of angle 2=x+8 = 33°
[tex]\boxed{m\angle 2=33^\circ}[/tex]
Related Questions
Lena sells earrings from a booth at the arts fair. She pays $200 to rent the booth. She makes $5 from each pair of earrings she sells. Her profit. P. can be found using the following equation, where n is the number of pairs of earrings sold. P = 5n - 200 How many pairs of earrings must Lena sell to earn a profit of $450?
Answers
Answer:
130 earrings
Step-by-step explanation:
P=450
450=5n-200
+200 +200
650=5n
/5 /5
n= 130
She would have to sell 130 earrings in order to earn a profit of $450.
What is profit?Profit is the money earned by a business when its total revenue exceeds its total expenses.
Given is Lena who sells earrings from a booth at the arts fair. She pays $200 to rent the booth. She makes $5 from each pair of earrings she sells. Her profit [P] can be found using the following equation (where n is the number of pairs of earrings sold) → P = 5n - 200.
Now, we have the following equation -
P = 5n - 200.
Now, for a profit of $450, substitute [P] by 450 as -
450 = 5n - 200
5n = 450 + 200
5n = 650
n = 130
Therefore, she would have to sell 130 earrings in order to earn a profit of $450.
To solve more questions on equation modelling, visit the link below-
https://brainly.com/question/12666094
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Question 2
If B is the midpoint of line segment AC, and BA = 8x + 9 cm, while CA = 28x - 3 cm, determine the value of x.
Answers
Answer:
[tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Midpoint of a line is a point that divides it into two equal segments.
As B is the midpoint of line segment AC,
[tex]AB=BC[/tex]
Put [tex]BA=8x+9\,,\,CA=28x-3[/tex]
To find value of [tex]x[/tex], solve [tex]8x+9=28x-3[/tex]
Therefore,
[tex]8x+9=28x-3\\9+3=28x-8x\\12=20x\\x=\frac{12}{20}\\ x=\frac{3}{5}[/tex]
So, value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
If 15% of a number equals 4, find 60% of that number.
Answers
Answer:
16
Step-by-step explanation:
I need to know if it’s parallel, perpendicular or neither please explain as well.
Answers
Analysing the Question:
We are given the following equations:
x - y = 4
x + y = 9
writing these equations in slope-intercept form
y = x - 4
y = -x + 9
the general form of the slope-intercept equation is : y = mx + b (where m is the slope and b is the y-intercept)
Hence, we can say that the for Equation 1:
Slope = 1
y-intercept = -4
For equation 2:
Slope = -1
y-intercept = 9
Finding if the lines are Perpendicular, parallel or neither
If the slope of the lines is equal, the lines are parallel
If the slope of the lines is the additive inverse (negative) of each other, the lines are perpendicular
Since the slopes of the 2 lines are the additive inverse (negative) of each other, the lines are perpendicular [slope 1 = 1 , slope 2 = -1]
Which statements about opposites are true? (Select all that are correct)
Answers
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 9 percent, has a YTM of 7 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 7 percent, has a YTM of 9 percent, and also has 13 years to maturity. The bonds have a $1,000 par value.
What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In three years? In eight years? In 12 years? In 13 years?
Answers
Answer:
Bond Xcurrent market price:
PV of face value = $1,000 / (1 + 3.5%)²⁶ = $
PV of coupon payments = $45 x 16.89035 (PV annuity factor, 3.5%, 26 periods) = $760.07
current market price = $408.84 + $760.07 = $1,168.91
price in 1 year:
PV of face value = $1,000 / (1 + 3.5%)²⁴ = $437.96
PV of coupon payments = $45 x 16.05837 (PV annuity factor, 3.5%, 24 periods) = $722.63
market price = $437.96 + $722.63 = $1,160.59
price in 3 years:
PV of face value = $1,000 / (1 + 3.5%)²⁰ = $502.57
PV of coupon payments = $45 x 14.2124 (PV annuity factor, 3.5%, 20 periods) = $639.56
market price = $502.57+ $639.56 = $1,142.13
price in 8 years:
PV of face value = $1,000 / (1 + 3.5%)¹⁰ = $708.92
PV of coupon payments = $45 x 8.31661 (PV annuity factor, 3.5%, 10 periods) = $374.25
market price = $708.92 + $374.25 = $1,083.17
price in 12 years:
PV of face value = $1,000 / (1 + 3.5%)² = $933.51
PV of coupon payments = $45 x 1.89969 (PV annuity factor, 3.5%, 2 periods) = $85.49
market price = $933.51 + $85.49 = $1,019
price in 13 years:
market price = $1,000 + $45 = $1,045
Bond Ycurrent market price:
PV of face value = $1,000 / (1 + 4.5%)²⁶ = $318.40
PV of coupon payments = $35 x 15.14661 (PV annuity factor, 4.5%, 26 periods) = $530.13
current market price = $318.40 + $530.13 = $847.53
price in 1 year:
PV of face value = $1,000 / (1 + 4.5%)²⁴ = $347.70
PV of coupon payments = $35 x 14.49548 (PV annuity factor, 4.5%, 24 periods) = $507.34
market price = $347.70 + $507.34 = $855.04
price in 3 years:
PV of face value = $1,000 / (1 + 4.5%)²⁰ = $414.64
PV of coupon payments = $35 x 13.00794 (PV annuity factor, 4.5%, 20 periods) = $455.28
market price = $414.64+ $455.28 = $869.92
price in 8 years:
PV of face value = $1,000 / (1 + 4.5%)¹⁰ = $643.93
PV of coupon payments = $35 x 7.91272 (PV annuity factor, 4.5%, 10 periods) = $276.95
market price = $643.93 + $276.95 = $920.88
price in 12 years:
PV of face value = $1,000 / (1 + 4.5%)² = $915.73
PV of coupon payments = $35 x 1.87267 (PV annuity factor, 4.5%, 2 periods) = $65.54
market price = $915.73 + $65.54 = $981.27
price in 13 years:
market price = $1,000 + $35 = $1,035
Anyone help? Please I’ve tried -35 but the graph is just to ten
Answers
Answer:
f(x) is always 5.
Step-by-step explanation:
The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.
6x-3x+4-2x= no solution
Answers
Answer:
1x = 3x
Step-by-step explanation:
This is could be wrong not sure.
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation 3x-5=-2x+ 10?
A. X=5. B.—5=x. C.—15=—5x. D.—5x=15
Answers
Answer:
A; (X=5)
Step-by-step explanation:
Move the constants and variable terms to one side:
3x-5= -2x+10
-5+10= -2x+ 3x
Combine like terms:
5=x or x=5
Answer:
The answer is C
Step-by-step explanation:
If you take the equation and simplify it.
3x-5=-2x+10
You would minus 3x from both sides, leaving the equation like
-5=-5x+10
Then you would minus 10 from both sides, leaving the equation like
-15=-5x
If you wanted to go further you could divide both sides by -1 and get rid of the negatives. Leaving the equation like
15=5x
Then to put it into the simpleist form you would divide both sides by 5, leaving the equation like
3=x
I hope this helps.
Write an equivalent expression by distributing the "_" sign outside the parentheses:
-(5n - 9.1)
Answers
Answer:
-5n+9.1
Step-by-step explanation:
- - = +
Find the absolute maximum and minimum values of the function below. f(x) = x3 − 9x2 + 3, − 3 2 ≤ x ≤ 12 Solution Since f is continuous on − 3 2 , 12 , we can use the Closed Interval Method. f(x) = x3 − 9x2 + 3 f ′(x) = 3x2−18x . Since f ′(x) exists for all x, the only critical numbers of f occur when f ′(x) = , that is, x = 0 or x = . Notice that each of these critical numbers lies in − 3 2 , 12 . The values
Answers
Answer:
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Step-by-step explanation:
The correct statement is described below:
Find the absolute maximum and minimum values of the function below:
[tex]f(x) = x^{3}-9\cdot x^{2}+ 3[/tex], [tex]2 \leq x \leq 12[/tex]
Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.
First, we obtain the first derivative of the function and equalize it to zero:
[tex]f'(x) = 3\cdot x^{2}-18\cdot x[/tex]
[tex]3\cdot x^{2}-18\cdot x = 0[/tex]
[tex]3\cdot x \cdot (x-6) = 0[/tex] (Eq. 1)
As we can see, only a solution is a valid critical value. That is: [tex]x = 6[/tex]
Second, we determine the second derivative formula and evaluate it at the only critical point:
[tex]f''(x) = 6\cdot x -18[/tex] (Eq. 2)
x = 6
[tex]f''(6) = 6\cdot (6)-18[/tex]
[tex]f''(6) =18[/tex] (Absolute minimum)
Third, we evaluate the function at each extreme of the given interval and the critical point as well:
x = 2
[tex]f(2) = 2^{3}-9\cdot (2)^{2}+3[/tex]
[tex]f(2) = -25[/tex]
x = 6
[tex]f(6) = 6^{3}-9\cdot (6)^{2}+3[/tex]
[tex]f(6) = -105[/tex]
x = 12
[tex]f(12) = 12^{3}-9\cdot (12)^{2}+3[/tex]
[tex]f(12) = 435[/tex]
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
What is the term for protection that guarantees payment to you in the event of financial loss?
OA.
claim
OB.
insurance
O c. premium
Help me please ...
Answers
Answer:
B. Insurance
Step-by-step explanation:
Can someone help me plz
Answers
The first number is 12 less than the second number. The total of the two numbers is 154.
Answers
Answer:
65
Step-by-step explanation:
because 71 + 83 is 154
83 - 12 = 71
so the first number could be 71 and the second one 83
Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.
Answers
Answer:
Her new position is 37 feet below the cave entrance
Step-by-step explanation:
Let us solve the question
∵ The cave entrance is the zero position
∵ Anna is in 42 feet below the cave entrance
→ Below zero means negative
∴ Anna is in -42 feet
∵ She descends 10 feet
→ Descend means negative
∴ She is in -42 + -10 = -52 feet
∵ She ascends 15 feet
→ Ascend means positive
∴ She is in -52 + 15 = -37 feet
→ -37 means she is in below the cave entrance by 37 feet
∴ Her new position is 37 feet below the cave entrance
7. Nine students want to raise $183.6 to buy practice books. So far, they have raised
$86.4. If each student raises the same amount, how much more money must each
student raise?
Answers
Answer:
10.8
Step-by-step explanation:
86.4÷9=9.6
183.6 - 86.4=97.2
97.2 ÷ 9.6=10.8
10.8x9=97.2
97.2+86.4=183.6
what is the length of the missing side , x
Answers
Answer:
Yes please i really need it
Step-by-step explanation:
A recipe calls for 18 ounces of cream cheese with 15 ounces of sugar." How many ounces of cream cheese are there per ounce of sugar?
PLEASE HELP
Answers
Answer:
1.2
Step-by-step explanation:
Just divide
Answer:
1.2
Step-by-step explanation:
Divide 18 by 15 and get the answer.
If a =3 and b = -1, what is the value of ab-b2?
Answers
Answer:-1
Step-by-step explanation:
Answer: -2
Step-by-step explanation:
C: Determine the measure of the obtuse angle formed at the intersection of AV and HI
Answers
Answer:
146°70°104°Step-by-step explanation:
GivenCS║BMTo findA. m∠MIHB. m∠AVMC. Obtuse angle at the intersection of AV and HISolutionA...................................
∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore
m∠MIH = 180° - 34° = 146°B...................................
∠AVM and ∠VAS are same side interior angles
and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:
m∠AVM = 180° - m∠VAS = 180° - 110° = 70°C...................................
Obtuse angle at the intersection of AV and HI, if name the intersection point O:
∠AOI = ∠HOV∠AOI = 180° - ∠AOH = 180° - (180° - 34° - 70°) = 104°can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?
Answers
Answer:
The least common denominator is 77 so the fractions would become 63/77 and 66/77.
I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math Please do step by step and pick reasoning for each
here are reasonings to pick from:
verticle angles
Linear pair (or triples)
Congruent angles
sum of angles in a triangle
sum of angles in a quadrilateral
Base angles of an isosceles triangle
Angle bisector definition
corresponding angles
alternate interior angles
alternate exterior angles
same - side interior angles
angle addition postulate
angle subtraction postulate
perpendicular lines form right angles
Answers
Answer:
m<GFC = 69 degrees
Step-by-step explanation:
The angle with 37 degrees is congruent with the angle on the left of 74 because of the Alternate Interior Angles Postulate
The last angle in the triangle that you don't know the degrees of is on the right of angle 74 because of the Alternate Interior Angles Postulate
So 37+74+ (the degree we don't know of the triangle) = 180 because of linear triples
180 - (37+74) = 69
So the angle on the right of angle 74 = 69
So m<GFC = 69 degrees
Answer:
Its 69
Step-by-step explanation:
the three measures will add up to 180 so all you hace to do is add the angles given and subtract that from 180 to find x
1.080 seg = ? minuts
Answers
Answer:
18 min
Step-by-step explanation:
Which equation represents the situation below?
John owed the bank 7 dollars, but he made 12 dollars.
Answers
Answer:
12-7=5
Step-by-step explanation: if you u need a equation for how much he has there u go
Help me plsss!! Thank youuuu.
Answers
Answer:
The answer is B.
Step-by-step explanation:
4.) Ariel makes her own jewelry to sell at the Street Fair. She can make 12 bracelets in 4 hours. If she works for 5 hours every Thursday for 4 Thursdays, how many bracelets will she make?
Answers
Answer:
60bracelets
Step-by-step explanation:
To solve this problem, we need to find her rate. This is the number of jewelries she makes per unit of time;
Rate = [tex]\frac{number of jewelries}{time taken }[/tex]
Number of jewelries = 12 bracelets
time = 4hrs
Input the parameters:
Rate = [tex]\frac{12}{4}[/tex] = 3bracelets/hr
She works 5hrs for 4 Thursdays;
Number of hours worked = 5 x 4 = 20hrs
Now, working at a rate of 3bracelets/hr for 20hrs, the number of bracelets she will produce is given as;
Number of bracelets = number of hours x rate
= 20 x 3
= 60bracelets
What does "a' control in a graph of * f(x) = ax + bx+ c?
Answers
Answer:
the stretch or compression of a quadratic, and if it's opening up to down.
Step-by-step explanation:
Convert to a fraction.
3%
A:50
B:3
C:100
D:30
E:100
Answers
Answer:
3 over 100
Step-by-step explanation:
Solve for X using special rights
Answers
b) 30
Step-by-step explanation:Hi there !
the side opposite the angle of 30 is half the hypotenuse
x = 2×15
x = 30
Good luck !
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Principle $ 20,000 Rate 5.5% Compounded Daily Time 16 years
Required:
a. Find how much money there will be in the account after the given number of years. (Assume 360 days in a year.)
b. Find the interest earned.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Principal = $20000
Interest rate = 5.5% = 0.055 compounded daily
Time = 16years =(360 * 16) = 5760
n = number of times interest is applied per period
Amount of money in account after 16 years :
A = p(1 + r/n)^nt
A = total amount
A = 20000(1 + 0.055/360)^(360*16)
A = 20000(1 + 0.0001527)^5760
A = 20000(1.0001527)^5760
A = 48193.1611
Interest on principal :
$48193.1611 - $20000
= $28193.1611
