Answer:
∠A = 44°
Step-by-step explanation:
Let b represent the measure of the exterior angle at B. Let c represent the measure of the exterior angle at C. The sum of angles in the lower triangle is ...
b/2 +c/2 +68° = 180°
b +c = 360° -136° . . . . . multiply by 2, subtract 136°
b +c = 224°
__
The exterior angle b is the supplement of the interior angle there, so the interior angle B is ...
B = 180° -b
The exterior angle c is the sum of the remote interior angles, so we have ...
c = B +A
c = (180° -b) +A
A = (b +c) -180° . . . . . . . . add b-180° to both sides
A = 224° -180° = 44° . . . . substitute for (b+c)
The measure of angle A is 44°.
_____
Additional comment
The angle naming is perhaps a little unconventional, but we wanted to use names that made the answer less cumbersome to write. We consider the angle A, B, C to be the interior angles of ΔABC, and we have named the exterior angles at B and C as 'b' and 'c'.
Conventionally, 'b' and 'c' would name the sides opposite angles B and C, respectively. We're not concerned with side lengths here, so we used those letters for an unconventional purpose.
If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?
Answer:
To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.
Step-by-step explanation:
what’s the operation
inverse or reciprocal
p=??
Answer:
The inverse means opposite operation, such as addition and subtraction are inverse operations, whereas the reciprocal refers to the inverse of any value, also called the multiplicative inverse. What is Another Word for Multiplicative Inverse? Reciprocal is another word for the multiplicative inverse.
Step-by-step explanation:
subtract. write your answer as a fraction in simplest form. 5/9 - 2/9 = what
Answer:
[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]
hope helpful <3
Answer:
3/9
Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3
What is the rate of 13 inches of snow in 8 hours?
Answer: 1.625 inches of snow per hour
Step-by-step explanation:
13 divided by 8 is 1.625
Find the factorization of the polynomial below. 81X2 - 18x+1
A. (18x-1)2
B. (9x-1)2
C. (9x + 1)2
D. (18x + 1)2
Answer:
B.(9 x -1)^{2}
Step-by-step explanation:
Rewrite the expression into the form of a^2\pm 2ab+b^2:(9 x)^{2} - 2 \times 9 x + 1^{2}
Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(9 x -1)^{2}
we have 81x^2 - 18x+1 = (9x)^2 -2.9x + 1 = (9x -1)^2
ok done. Thank to me :>
can anyone help me with math
Answer:
d = 6
Step-by-step explanation:
diameter is the whole thing while the radius is always half of the diameter.
12 / 2
= 6
Answer:
6
the diameter is always the half of a radius
Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)
Answer:
y = -3x + -9/6
-9/6 simplified as -3/2
-6x + 8y = 12 and -3x + 4y = 6
Answer:
y = (3/4)x + (3/2)
Step-by-step explanation:
all points on that line
the question in the photo
Answer: b would be the answer
Step-by-step explanation:
210 is the product of − 14 and x
Answer:
-14 and -15
Step-by-step explanation:
When you multiply two negative numbers together, it will equal a positive number
x+2y - 3z =15. 2x – 2z=6 x = 3. 2/3)-22 i dont know this answer pls help me???
Answer(s):
Exact Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3 2 3
Mixed Number Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3 2 3
Improper Fraction Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 11 3
Decimal Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3. ¯ 6
Hope this helps, have a nice day/night! :D
2+2 1,000,000,000+1,000,000,000
Answer:
22,000,000,002
Step-by-step explanation:
Hope it helps you
Answer:
Step-by-step explanation:
22,000,000,002
Angel sum theorem ……….
Answer:
y = 42º
Step-by-step explanation:
The unmaked angle of the bottom triangle is 90º
The sum of the angles is 180
y + 90 + 48 = 180
combine like terms
y + 138 = 180
subtract 138 from both sides
y = 42º
Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?
Answer:
29.2425
Step-by-step explanation:
25%=0.25
38.99 * 0.75 = 29.2425
Julio says, “if you subtract 12 from my number and multiply the difference by -5, the result is -90” what is Julio’s number
The nth term of a sequence is 3n² Work out the value of the 15th term.
Answer:
a₁₅ = 675
Step-by-step explanation:
Substitute n = 15 into the nth term formula
a₁₅ = 3(15)² = 3 × 225 = 675
dose anyone know how to solv ethis??
no[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Instantaneous velocity of particle at 2 minutes is ~
[tex]1 \: \: m/s[/tex]Refer to the attachment for solution ~
I need help with my homework… plz
Find the slope of the line that passes through point A (-2,0)and point B (0,10) using m=rise/run
Answer:
m = 5
Step-by-step explanation:
The x-coordinate of A is -2 and that of B is 0. The increase in this coordinate from A to B is 2. Similarly, the y-coordinate increases by 10. The slope is therefore m = rise / run = 10/2, or m = 5
Please help Please thank you
Answer: C) The student made an error in step 3.
Step-by-step explanation:
When dividing by a negative while working with inequalities, you must "flip the sign." Thus, there is an error in step 3.
N.B. The answer could very well be interpreted as B), but I believe C) is the best and most defensible answer.
Hope it helps :) and let me know if you want me to elaborate.
Answer:
nvm
Step-by-step explanation:
Lucy is going to watch a movie in her collection. She has 5 action movies, 4 comedies, and 3 dramas.
She will randomly select one movie. What is the probability that the movie she selects is not a drama?
Write your answer as a fraction in simplest form.
Answer:
3/4
Step-by-step explanation:
5 action+4 comedy+3 drama= 12 total movies
12 will be the denominator of our fraction.
The question asks: What is the probability that the movie she selects is NOT a drama?
So, we add the number of action and comedy movies.
5+4=9
9 is our numerator.
But wait! We have to simplify the fraction 9/12!
9 divided by 3= 3
12 divided by 3= 4
Reduced answer: 3/4
WILL MARK BRAINLIEST IF CORRECT!
Answer:
Answer → Student A was right.
[tex]{ \tt{ \sqrt[3]{1944} = \sqrt[3]{(72 \times 27)} }} \\ \\ = { \tt{ \sqrt[3]{72} \times \sqrt[3]{27} }} \\ \\ = { \tt{ \sqrt[3]{72} \times 3}} \\ \\ = { \underline{ \tt{ \: 3 \sqrt[3]{72} } \: }}[/tex]
A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.
Answer:
150 Miles
Step-by-step explanation:
Let's say it takes x time to get there.
X x 30=(8 - 6) x 50 (The distance is the same)
30X=400 - 50X=7 X=5 hours.
So the distance is 5 x 30=150 miles.
16 is equal to the difference of twice a number p and 8.
I dont know how to solve these still
Answer:
x = 20*
Step-by-step explanation:
180 - 110 = 70
90 - 70 = 20
x = 20*
reason is #5 Algebra
Have a nice day! :-)
What is the distance between point (2,6) and (5,2)?
Answer:
5 units
Step-by-step explanation:
Distance between two points can be found by using the pythagorean theorem
The distance in y = 4
The distance in x = 3
3² + 4² = c²
9 + 16 = c²
25 = c³
c = √25
c = 5
-Chetan K
Answer:
5
Step-by-step explanation:
[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]
[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\underline{\mathrm{Solve:}}[/tex]
[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\sqrt{3^2 + 4^2}[/tex]
[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]
[tex]\sqrt{25}[/tex]
[tex]\sqrt{5^2}=5[/tex]
Nate earns extra money on the weekends mowing lawns. He charges $14.00$ to work for the first hour. He charges $10.50 for each additional hour. Let hh equal the number of hours after the first hour. Which expression represents how much Nate charges?
Answer:
m=14+10.50h
Step-by-step explanation:
h represents hours. m represents how much he makes
he's going to get 14 dollars, plus 10.50 times however many hours he works.
answer this pls!!...
help me out
-sry for my bad handwriting
Answer:
i cant read it
can u type so i can help?
Step-by-step explanation:
Can someone help me solve this integral plsss?
integral of (2xˆ3+3xˆ2+x)/(xˆ2+1) dx
Solve each system by elimination
7x + 8y = -29
-3x -8y = 17