Answers
Answer:
50°
Step-by-step explanation:
65 + 65 +C = 180
130+C = 180
C = 180 - 130 = 50
Hi there!
[tex]\large\boxed{C = 50^o}[/tex]
A line contains an angle of 180°, so:
∠C = 180° - 65° - 65°
∠C = 180° - 130°
∠C = 50°
Related Questions
1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é: a) r = 6 b) r = 7 c) r = 9 d) r = 11 e) r = 12 2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a: a) 78 b) 79 c) 80 d) 81 e) 82
Answers
Answer:
1) b) r = 7
2) e) 82
Step-by-step explanation:
Progressão aritmética:
Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.
O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:
[tex]a_n = a_1 + (n-1)r[/tex]
Tomando o m-ésimo termo como referência, tem-se que:
[tex]a_n = a_m + (n-m)r[/tex]
1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:
[tex]a_5 = 40, a_9 = 68[/tex]. Então:
[tex]a_n = a_m + (n-m)r[/tex]
[tex]68 = 40 + 4r[/tex]
[tex]4r = 28[/tex]
[tex]r = \frac{28}{4} = 7[/tex]
Então a resposta correta é dada pela alternativa b.
2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:
O primeiro termo é [tex]a_1 = 72[/tex] e o oitavo termo é [tex]a_8 = 107[/tex]. Com isso, é possível encontrar a razão.
[tex]a_n = a_1 + (n-1)r[/tex]
[tex]107 = 72 + 7r[/tex]
[tex]7r = 35[/tex]
[tex]r = \frac{35}{7} = 5[/tex]
Então, o terceiro termo é:
[tex]a_3 = a_1 + 2r = 72 + 2(5) = 82[/tex]
Logo, a resposta correta é dada pela alternativa e.
which point is on the line that passes through point H and is perpendicular to line FG?
Answers
Answer:
The correct answer is (-6, 10).
Step-by-step explanation:
You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.
Feel free to message me if you still have questions :)
Answer:
(–6, 10)
Step-by-step explanation:
Please help me i need the answer right now. The lesson is Rational Root Theorem.
Answers
Step-by-step explanation:
1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the
x+4.(3x+1)(x)The volume is 720.Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is[tex](3x + 1)(x + 4)[/tex]
[tex](3 {x}^{2} + 13x + 4)x = 720[/tex]
Multiply it by x.
[tex]3 {x}^{3} + 13 {x}^{2} + 4x = 720[/tex]
[tex] 3{x}^{3} + 13 {x}^{2} + 4 x - 720[/tex]
The possible roots
The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be
[tex]x = 5[/tex]
2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.
Let check via synethic division to see which are roots.
Let try 1 and -1 first. If we plug 1 into the equation, we get
[tex]1 - 2 - 5 + 6 = 0[/tex]
So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in
[tex] {x}^{2} - x - 6[/tex]
We can then factor this into
[tex](x - 3)(x + 2)[/tex]
So our roots or factors is
[tex](x - 1)(x - 3)(x + 2)[/tex]
please help me out asap
(geometry)
Answers
Answer:
x = 30
Step-by-step explanation:
If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then
2x + 50 + 5x - 80 = 180
7x - 30 = 180 ( add 30 to both sides )
7x = 210 ( divide both sides by 7 )
x = 30
need help with part b of the attached screenshot please
Answers
9514 1404 393
Answer:
(b) 82.9253
Step-by-step explanation:
The first attachment shows the rectangles. The second shows the sum of their areas.
Which of the
following shows the graph of y = 2e*?
Answers
what is a = with a ~ thing on top?
Answers
3(5-4)+2(5)-5 squared
Answers
the answer should be -12 if I did the math right.
Step-by-step explanation:
3*1+10-5^2(we subtract 5 from 4 first because it was inside bracket)
3+10-25(Square of 5 is 25)
-12(subtracting the above equation 12 comes)
given the preimage and image, find the dilation scale factor
Answers
Given:
The preimage and image of a triangle in the given figure.
To find:
The dilation scale factor.
Solution:
From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).
The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).
If a figure is dilated by factor K with (0,0) as the center of dilation, then
[tex](x,y)\to (kx,ky)[/tex]
Let the scale factor be K, then the image of point A is:
[tex]A(-2,-2)\to A'(k(-2),k(-2))[/tex]
[tex]A(-2,-2)\to A'(-2k,-2k)[/tex]
From the given figure it is clear that the image of point A is A'(-4,-4).
[tex]A'(-2k,-2k)=A'(-4,-4)[/tex]
On comparing both sides, we get
[tex]-2k=-4[/tex]
[tex]k=\dfrac{-4}{-2}[/tex]
[tex]k=2[/tex]
Therefore, the dilation scale factor is 2.
A stationer buys a gel pen Rs 20 and sells it at 20% profit.For what price should he buy it so that he can make 25% profit by selling for the same selling price.
Answers
Answer:
Current selling price = Rs 20 × 120 %
= Rs 24
Cost price should be [100 ÷ 125 ] × 24
= Rs 19.20
Find θ. Round to the nearest degree.
hypotenuse = 14
adjacent = 5
5.1.3: Right Triangle Trigonometry
Answers
Answer:
the answer is c
Step-by-step explanation:
when solving for theta, we are given the side length adjacent to it (5) and the length of the hypotenuse ( 14).
the trigonometric function that deals with adjacent and hypotenuse values is cosine.
you can use SOH CAH TOA
stands for :
sin = opposite/hypotenuse
cos = adjacent/ hypotenuse
tan = opposite/adjacent
we dont know theta so :
cos(theta) = 5/14
cos = about 69
check :
cos(69) = 5/14
cos(69) = 0.35836794954
5/14 = 0.35714285714
Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour. If her total traveling time was 14 hours, how far was it to the mall?
Answers
Given:
Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.
Total traveling time was 14 hours.
To find:
The distance between Melinda's house and mall.
Solution:
Formula used:
[tex]Time=\dfrac{Distance}{Speed}[/tex]
Let x miles be the distance between Melinda's house and mall.
Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.
Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.
Total traveling time was 14 hours.
[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]
[tex]\dfrac{6x+x}{24}=14[/tex]
[tex]7x=14\times 24[/tex]
Divide both sides by 7.
[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]
[tex]x=2\times 24[/tex]
[tex]x=48[/tex]
Therefore, the mall is 48 miles far from Melinda's house.
The fraction 9/7 is equivalent to?
Answers
9/7 is equivalent to 18/14 or 27/21 or 36/28 etc
Answered by Gauthmath must click thanks and mark brainliest
ni
Critique Patrick thinks that when a is a negative integer and b is a positive
below and decide whether they are true or false. For statements that are true, give
integer, each of the following statements is always true. Read the statements
an example to support Patrick's claim. For statements that are false, give a
counterexample.
a. 0-b is positive.
b.
b. b-a is positive.
100
60-(-6) is negative.
80
Answers
Answer:
Step-by-step explanation:
Patrick thinks that when 'a' is a negative integer and 'b' is a positive,
Let "a = -2" and "b = 3"
a). a - b is positive.
a - b = -2 - 3
= -5 {negative]
Therefore, statement is False.
(a - b) is negative.
b). b - a is positive.
b - a = 3 - (-2)
= 3 + 2
= 5 [Positive]
Statement is True.
c). a - (-b) is negative.
a - (-b) = a + b
= -2 + 3
= 1 [Positive]
False.
But it's true when a = -5 and b = 3
a - (-b) = -5 - 3
= -8 [Negative]
1
Work out the area of the shape:
3cm
6cm
2cm
2cm
Answers
Answer:
24 cm
Step-by-step explanation:
6*2+3*4=?
12+12
24 cm
The terminal point of 0 is (|3/2, 1/2). What is 0 if 0 <\ 0 < 360?
A. 60
B. 30
C. 45
D. 15
Answers
Find NM
--------------------------------
Answers
Answer:
[tex] MN= \boxed{15}[/tex]
Step-by-step explanation:
refer the attachment
therefore Let,
[tex]a = x - 3 + 16 = x + 13[/tex][tex]b = x - 3[/tex][tex]c = x + 3[/tex]according to the question
[tex] \displaystyle (x - 3 ) (x + 13) =( x + 3 {)}^{2} [/tex]
simplify square and Multiplication:
[tex] \displaystyle {x}^{2} + 10x - 39 = {x}^{2} + 6x + 9[/tex]
cancel x² from both sides:
[tex] \displaystyle 10x - 39 = 6x + 9[/tex]
cancel 6x from both sides:
[tex] \displaystyle 4x - 39 = 9[/tex]
add 39 to both sides:
[tex] \displaystyle 4x = 48[/tex]
divide both sides by 4:
[tex] \displaystyle \boxed{x = 12}[/tex]
given that,
[tex] MN= x + 3[/tex]
substitute the got value of x:
[tex] MN= 12 + 3[/tex]
simplify addition hence,
[tex] MN= \boxed{15}[/tex]
Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order?
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the total orders is not given.
To solve this question, I will assume a value for the total number of order.
Let
[tex]x \to 12-cup[/tex]
[tex]n_x = 18[/tex] ---- number of 12-cup
[tex]y \to 36-cup[/tex]
[tex]n_y = ??[/tex] ---- number of 36-cup
[tex]n \to[/tex] Total order
Required
Calculate [tex]n_y[/tex]
To do this, we make use of the following equation:
[tex]n_x * x + n_y * y = n[/tex]
Substitute known values
[tex]18 * 12 + n_y * 36 = n[/tex]
[tex]216 + 36n_y= n[/tex]
Collect like terms
[tex]36n_y= n - 216[/tex]
Divide both sides by 36
[tex]n_y= \frac{n - 216}{36}[/tex]
Assume the number of orders is: 540 cups
The equation becomes
[tex]n_y= \frac{540 - 216}{36}[/tex]
[tex]n_y= \frac{324}{36}[/tex]
[tex]n_y= 9[/tex]
Use a calculator to determine the unknown angle, to the nearest degree, in each of the following expressions.
tan A = 5/4
cos G = 0.88
Answers
Answer:
Using a calculator;
A is approximately 51.34°
G is approximately 28.36°
Step-by-step explanation:
Part 1
The given trigonometric ratio is presented as follows;
tan A = 5/4
Therefore, the angle, A = arctan(5/4)
Using a calculator, the value of A is found as follows;
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Entering 5/4 into the calculator, using the keypad
3 . Selecting the arctan button to give, A ≈ 51.34°
Part 2
The given trigonometric ratio is cos G = 0.88
Therefore, G = arccos(0.88)
1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)
2. Enter 0.88 into the calculator by typing
3. Select arccos from the function menu, to give
arcos(0.88) = G ≈ 28.36°.
please help i will give brainliest
Answers
Instructions: Find the measure of the missing angles in the kite
Answers
Answer:
m∠1 = 103
m∠2 = 103
Step-by-step explanation:
by definition, the opposite angles of a kite are congruent.
we know that a quadrilateral's angles add up to 360.
117 º+ 37º + 2xº = 360º
2xº = 206º
xº=103º
Derek had a bill of $29 last month on he Call-a-Lot Plan. How many minutes did he use?
Answers
Solve for x. round to the nearest tenth, if necessary.
Answers
Answer:
50.7
Step-by-step explanation:
38+1.3+90 from the right angle=129.3
180-129.3=50.7
Question 8(Multiple Choice Worth 5 points) (01.01 MC) Which number line best show how to solve -4 - (-8)?
Answers
Answer:
4
Step-by-step explanation:
-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8
9. Calculate the angle of elevation of the line of sight of a person 27.5 m away from a tree, whose
eye is 1.8 m above the ground, and is looking at the top of a 19.4 tree. (draw a diagram and
answer to the nearest degree)
Answers
Answer:
32.61° is the answer
Step-by-step explanation:
Tanx=17.6/27.5
Please help
I am giving all my points for this (15 points)
Select all input values for which g(x)=8.
Choose all answers that apply:
(Choice A)
x=−4
(Choice B)
x=6
(Choice C)
x=9
(Choice D)
None of the above
Answers
Answer:
D. none of the above
Step-by-step explanation:
If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.
I need help what’s the answer?
Answers
Answer:
30 words per minute
Step-by-step explanation:
Take the number of words and divide by the number of minutes
150/5 = 30
300/10 =30
450/15 = 30
600/20 = 30
30 words per minute
Answer:
janae types 30 words each minutes.
Step-by-step explanation:
if 5minutes = 150 words
[tex]1 \: minute = \frac{150words}{5minutes} [/tex]
[tex] = \: 30words[/tex]
Find the value x ……….
Answers
Answer: 6 because it more than thd base and less than the other triangles leg
Step-by-step explanation:
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^2 = y^2 + 25[/tex]
[tex]\frac{y}{11} = \frac{5}{y}[/tex]
[tex]y^2 = 55[/tex]
[tex]x^2 = 80\\x = \sqrt{80} \\x= 4\sqrt{5}[/tex]
If a zero is
, then the graph of its function only touches the x–axis at that zero.
Answers
Answer:
Step-by-step explanation:
Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.
If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet
Answers
Answer:
32 years
Step-by-step explanation:
8x12 because there are 12 inches in a foot
8x12=96
96/3
96/3=32
Answer:
32 years
Step-by-step explanation:
y = years
1 foot = 12 inches
12 × 8 = 96
Now, plug in random numbers into the expression below to find how long it takes for the tree to grow 8 feet.
3y
3 × 10 = 30
3 × 20 = 60
3 × 30 = 90
3 × 31 = 93
3 × 32 = 96
It will take the pine tree 32 years to grow 8 feet, or 96 inches.
