Answer:
8, 16, ×2
Step-by-step explanation:
The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each angle of the triangle.
From the picture attached,
ΔABC is an isosceles triangle.∠B ≅ ∠C
Vertex angle ∠A is 10 less than 3 times the base angles.m(∠A) = 3[m(∠B)] - 10
By applying angle sum theorem in ΔABC,
m(∠A) + m(∠B) + m(∠C) = 180°
m(∠A) + m(∠B) + m(∠B) = 180° [From equation (1)]
m(∠A) + 2m(∠B) = 180°
[3m(∠b) - 10] + 2m(∠B) = 180°
5[m(∠B)] = 180° + 10°
m∠B = 38°
Therefore, m∠B = m∠C = 38°
Substitute the value of angle B in equation (2),
m(∠A) = 3[m(∠B)] - 10m(∠A) = 3(38) - 10
= 104°
Therefore, measure of angle A will be 104°.
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Tickets for a concert cost $25 each. You have $180 to spend. Write
an expression for the money that you have left after buying
t tickets. Evaluate the expression to find the amount of money left
after buying 6 tickets.
Answer:
180 - 25(T)= 30
T=6
180 - 25(6)= 30
If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.
Group of answer choices
True
False
Answer:
True
Step-by-step explanation:
Cars and planes use fossil fuels such as, gas, petroleum. These are unrenewable resources.
Answer:
true
Step-by-step explanation:
they both emit carbon so if they are both used more often then carbon emissions will increase.
I need help with this anyone?
Answer:
c is the correct answer
32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
Answer:
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
We have known that the diagonals of a parallelogram bisect each other.So, O would be the midpoint of AC as well as that of BD.
[tex]A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)[/tex]
[tex]C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)[/tex]
The midpoint of AC is:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)[/tex]
[tex]=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)[/tex]
[tex]=\left(5,\:2\right)[/tex]
The midpoint of BD is:
[tex]=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)[/tex]
so
∵ [tex]\frac{a+2}{2}=5[/tex]
[tex]a+2=10[/tex]
[tex]a=8[/tex]
∵ [tex]\frac{b+4}{2}=2[/tex]
[tex]b+4=4[/tex]
[tex]b=0[/tex]
Hence, the fourth vertex is D(8, 0)
Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.
Answer:
For n=6, the given vectors will be collinear.
Step-by-step explanation:
Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.
Given
[tex]a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)[/tex]
The ratio of first unit vectors is:
[tex]\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}[/tex]
In order for the vectors to be collinear the other ratio should also be 1/3
[tex]\frac{a_2}{b_2} = \frac{1}{3}[/tex]
Writing it mathematically
[tex]\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6[/tex]
Hence,
For n=6, the given vectors will be collinear.
A zoo administrator must decrease the staff size by 1/4 because of budget cuts. If the zoo employs 456 people, how many people must be dismissed?
Answer:
114 people
Step-by-step explanation:
456*.25=114
The probability of getting bonus points is 8/19
Answer:
11/19
Step-by-step explanation:
If the probability is 8/19, the reverse is 11/19. That is the odds.
Hope this finds you well on a cold day!
NEED HELP ILL GIVE BRAINLIEST PLEASE!!!
Answer:
13 feet
Step-by-step explanation:
What role do animals have in the carbon cycle?
Group of answer choices
use water and release oxygen
use sugar and release carbon
use carbon and release oxygen
use carbon and release nitrogen
Answer:
Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.
Step-by-step explanation:
hope this helps
Una pizza grande de queso cuesta $18. Cada ingrediente extra cuesta $1.50
Answer:
3
Step-by-step explanation:
Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.
-LavenderVye
Pls look in file below for question
Answer:
the answer to the question is 7
pretende-se guardar um cano de 42cm de comprimento em uma caixa de ferramentas retangular, cuja as medidas são 36cm de comprimento por 27cm de largura. Verifique se tal feito será possível de ser realizado, demonstrando numericamente seu raciocínio
Answer:
Step-by-step explanation:
Não porque a caixa seria muito menor que o cano.
!!!PLEASE HELPPPP!!!! Select all options that are greater than 17. (the answer's are power)
2 to the power of 5
4 to the power of 2
2 to the power of 2 + 3 to the power of 2
3 to the power of 3 - 3 to the power of 2.
Answer:
it's 2 to the power of 5, 2 to the power of 2 + 3 to the power of 2 and the last one is 3 to the power of 3 - 3 to the power of 2
A glass is 1/3 full. Then 75cm3 of orange juice is poured in.
The glass is now 3/4 full. What is the total volume of the glass?
35 POINTS!!! Show your work and write an expression using the following criteria:
1. A dividend is greater than 1,000
2. The quotient is 37 with a reminder of 4
Answer: 3704 / 100=37R4
Step-by-step explanation:
3704 / 100=37R4
Answer:
listen
Step-by-step explanation:
Just breathe! I know Im late but please take notes and not ask everyone on here to do stuff for you! Thanks
1.23 x 1.1 equals =
Answer:
1.23 x 1.1 = 1.32
can someone help me with this? I’m very confused and my results aren’t matching
You basically start at the start and whatever answer you get you go that way and if you get your answers right it should lead you to finish.
A new drug on the market is known to cure 30% of patients with cervical cancer. If a group of 18 patients is randomly selected, what is the probability of observing, at most, one patient who will be cured of cervical cancer?
Answer:
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Step-by-step explanation:
Given:
Patients cured = 30% = 0.30
Number of patients (n) = 18
Probability cured of cervical cancer = P(X≤1)
Probability cured of cervical cancer = P(X=0) + P(X=1)
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
is 39.81 rational or irrational
Answer:
its rational
Step-by-step explanation:
:)
Answer:
It is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
WILL MARK BRAINIEST
Which expression is equivalent to
36/25sqaure root?
A.6/25
B.5/6
C.6/5
D.36/25
Answer:
it is C
Step-by-step explanation:
trust me
Math question on bottem
Answer:
12.56km
Step-by-step explanation:
circumference formula is C= 2(π)(r)
r= 2 so
C=2(π)(2)
C= 12.56
How does this step ensure that the new angle will be congruent to the original angle?
At the store, 10 ounces of candy cost $3.20. What is the price of 6 ounce of candy?
divide $3.20 to get the cost per ounce, and multiply it by 6 to get the price for 6 ounces.
6 ounces = $1.92
hope this helps!! :)
Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now?
Answer:
Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now? 41
Step-by-step explanation:
Answer: 41
Step-by-step explanation: The key word in this sentence is more. She already has 16 and she is getting another 25. So that means you have to add 16 and 25 to find out how much she has now. The answer would be 41.
Please Help! Anyone know how to solve Rational Equations?
Answer:
The answer is D. x = 0 , 5
x equal to 0 and 5.
Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay :)
Answer:
c. -8
Step-by-step explanation:
Given:
[tex] \frac{4b \div c}{1 - a} [/tex]
a = 5, b = 8, and c = 1
To evaluate, plug in the values into the expression given.
Thus:
[tex] \frac{4(8) \div 1}{1 - 5} [/tex]
[tex] \frac{32 \div 1}{1 - 5} [/tex]
[tex] \frac{32}{-4} [/tex]
[tex] \frac{8}{-1} = - 8 [/tex]
Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the sphere intersects the yz-plane. Find the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:
[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]
A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
Two lines are perpendicular. The slope of the first line is. What is the slope of the second line?
Answer:
Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.
Select the correct answer.
Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
X = 1
y = -9
D.y = 1
Answer:
I think A because we can't see the thing
Answer:
x=1
Step-by-step explanation: