Answer:
(A)CPCTC
Step-by-step explanation:
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.
If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.
Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).
The correct option is A.
Similarly, we can also conclude that:
∠E ≅ ∠A; and∠D ≅ ∠NThe distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph, photo above
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph (6 points)
Answer:
a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.
b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.
c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.
Step-by-step explanation:
Answer:
Part A: it is linear because it is not curving and it consists of straight lines.
Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.
Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.
Step-by-step explanation:
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
The answer is 9.8 m/s2
Answer:
B. 9.8 m/s^2
Step-by-step explanation:
I got it correct on edg2020
HELP PLZZZZZZZZZZZ!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
sohcahtoa for right triangles
Answer:
No, because triangle XYZ is not a right triangle
Step-by-step explanation:
Since this is not a right triangle, we cannot use trig functions
if you graph the system of Inequalities given below, which points would lie in the solution set? Select all the correct answers.
x-y2-4
2x-ys 5
2y+ x>1
Answer:
(-1,3)
Step-by-step explanation:
we need to replace the values x and y for every point and see if the point satisfies all the inequations.
Point (-2,3):
x - y ≥ -4
-2 - 3 ≥ -4
-5 ≥ -4
Then, -5 is not greater than -4, so that point is not a solution.
Point (-1,3):
x - y ≥ 4 2x - y ≤ 5 2y + x > 1
-1 - 3 ≥ 4 2(-1) - 3 ≤ 5 2(3) + (-1) > 1
-4 ≥ -4 -5 ≤ 5 5 > 1
Then, (-1,3) is a solution
Point (0,0):
x - y ≥ 4 2x - y ≤ 5 2y + x > 1
0 - 0 ≥ 4 2(0) - 0 ≤ 5 2(0) + (0) > 1
0 ≥ -4 0 ≤ 5 0 > 1
Then, 0 is not greater than 1, so that point is not a solution.
Point (2,-2):
x - y ≥ 4 2x - y ≤ 5
2 - (-2) ≥ 4 2(2) - (-2) ≤ 5
4 ≥ -4 6 ≤ 5
Then, 5 is not greater than 6, so that point is not a solution.
To steam rice, Paul uses m cups of water for every p
cups of rice. In terms of m and p, how many cups of
water are needed to steam p + 2 cups of rice?
Answer:
[tex]\frac{(p + 2)m}{p}[/tex]
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
The question shows a direct proportion between cups of rice and cups of water.
So, the first step is to get the proportionality constant (k)
This is calculated using the following expression;
[tex]m = k * p[/tex]
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
[tex]k = \frac{m}{p}[/tex]
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
[tex]k = \frac{x}{p + 2}[/tex]
Equate both expressions of k; to give
[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]
Multiply both sides by p + 2
[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]
[tex](p + 2) * \frac{m}{p} =x[/tex]
[tex]x = (p + 2) * \frac{m}{p}[/tex]
[tex]x = \frac{(p + 2)m}{p}[/tex]
Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]
What is the equivalent radian measure of 540°?
1
radians
3
radians
radians
3
3x radians
DONE
Answer: 3π
I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.
Step-by-step explanation:
To convert from degrees to radians, you multiply by π/180.
[tex]540*\frac{\pi }{180} =3\pi[/tex]
What is the order of this from least to greatest. 4.37, 5.844, 5 21/25,117/20
A piece of aluminum with a mass of 100.0 g has a temperature of 20.0°C. It absorbs 1100 J of heat energy. What is the final temperature of the metal?
Answer:
31.81°CStep-by-step explanation:
Using the formula for calculating heat energy H = mcΔT
m = mass of the aluminum (in g/kg)
c = specific heat capacity of aluminum
ΔT = change in temperature = T - Ti (in °C)
T is the final temperature
Ti is the initial temperature
Given m = 100.0g, c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?
Substituting the given values into the formula;
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
The final temperature of the metal is 31.81°C
Answer:
31.81c
Step-by-step explanation:
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
Factored completely, the expression 2y^2 + 12y-54 is equivalent to
a. 2(y + 9)(y - 3)
b. 2(y - 3)(y-9)
c. (y+ 6)(2y - 9)
d. (2y + 6)(y-9)
PLEASE HELP ME WITH THESE QUESTIONS
Answer:
hope its wht u require....
Elle, Jonah and Mandy shared some game cards in the ratio 2:3:7. Each of
them would have received 152 game cards each if the game cards were
distributed equally. How many more game cards did Mandy receive than Elle? Please do a step by step explanation.
Answer:
190 cards
Step-by-step explanation:
Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:
2 + 3 + 7 = 12
If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:
152 * 3 = 456 cards
Elle's share is therefore:
2 / 12 * 456 = 76 cards
Mandy's share is:
7 / 12 * 456 = 266 cards
Therefore, the number of cards that Many received more than Elle is:
266 - 76 = 190 cards
A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere where the radius is 6 m. (Round to the nearest tenth)
Answer:
144π or 452.4
Step-by-step explanation:
Volume of a Sphere Formula: V = 4/3πr³
Step 1: Plug in 6 for r
V = 4/3π(6)³
V = 288π
Step 2: Divide by 2
V = 288π/2
V = 144π
please help i was struggling
Answer:
slope is 2 y intercept 7
Step-by-step explanation:
The y intercept is the value when x =0
(0,7) means the y intercept is 7
We can find the slope using
m = (y2-y1)/(x2-x1)
m = ( 11-9)/(2-1)
= 2/1
= 2
Need help with #11 please
Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1) and draw a straight line through them.
Step-by-step explanation:
The equation y= 5-x can be rewrite as y = -1x + 5 and it can be identify as a linear equation in slope intercept form. Now you could plot in any value of x and solve for y.
x y (x,y)
0 5 (0,5) If you put in 0 for x y will be 5
1 4 (1,4) if you put in 1 for x, y will be 4
2 3 (2,3) if you put in 2 for x, y will be 3
4 1 (4,1) if you put in 4 for x, y will be 1
5 0 (5,0) if you put in 5 for x y will be 0.
Please answer this question fast in two minutes
Answer:
lines NP and OP are intersecting
Step-by-step explanation:
they touch at point P
Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest?
Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818
ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __
Answer:
12
5
13
Step-by-step explanation:
what expressions are equivalent to 4d+6+2d
Answer:
6d+6 is the correct answer
Step-by-step explanation:
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Answer: b⁶
Step-by-step explanation:
The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.
(b³)²=b³ˣ²=b⁶
Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3
******BRAINLIEST IF ANSWERED****** Which equation can be used to find the measure of angle BAC? * inverse tan(5/12) inverse cos(5/13) inverse sin(12/5) inverse tan(12/13)
Answer:
[tex]cos^{-1}(\frac{5}{13} )[/tex]
Step-by-step explanation:
We can see that x is at ∠A.
To find x:
cosx° = 5/13
x = cos^-1(5/13)
sinx° = 12/13
x = sin^-1(12/13)
tanx° = 12/5
x = tan^-1(12/5)
Out of our answer choices, the only one that fits is the inverse cos(5/13).
Answer:
inverse cos 5/13
Step-by-step explanation:
i took the quiz
Which number is a perfect cube?
O9
O 18
0 27
O 36
Answer:
27
Step-by-step explanation:
9 is not a perfect cube.
18 is not a perfect cube.
27 is a perfect cube.
∛27 = 3
36 is not a perfect cube.
Answer:
27
Step-by-step explanation:
We want a number time itself times itself
27 = 3*3*3
27 = 3^3
What is the answer to 15a + 9 =
Answer:
[tex]a=-\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]
Answer:
Step-by-step explanation:
Use distributive property
15a + 9 = 3*5*a + 3*3
= 3 (5a + 3)
What is 45% as a fraction in simplest form
⇒Answer:
[tex]\frac{9}{20}[/tex]
⇒Step-by-step explanation:
Well 45% is saying it is 45% out of 100,
So we can make the following fraction
45/100
Then we simplify by dividing 45 and 100 by 5
Hence, the answer is [tex]\frac{9}{20}[/tex]
translate into an algebraic expression: x is increased by 50% and decreased by 30% . What is the result?
Answer:
x+4/5x
Step-by-step explanation:
x is increased by 80% 0f it self
80%of x= 4/5x
... x+4/5x
Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *
Answer:
8 batches
Step-by-step explanation:
Take the total amount of cream and divide by the amount of cream per batch
6 ÷ 3/4
Copy dot flip
6 * 4/3
6/3 *4
2*4
8 batches
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
Answer:
105 degrees
Step-by-step explanation:
Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.
the angles all together is 180 degrees
so 180 - 75 = 105 degrees
The measure of angle CFD is 105 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Angle DEF = 75°.
Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.
Angle DFE + Angle CFD = 180 (angle on a straight line)
so 180 - 75 = 105 degrees
Thus, Angle CFD = 105 degree
Learn more about the triangles;
https://brainly.com/question/2773823
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If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log Subscript one-half x Answer choices: The curves intersect at approximately x = 0.46. The curves intersect at approximately x = 0.75. The curves intersect at approximately x = 1.11. The curves intersect at approximately x = 3.07.
Answer:
Option A -- 0.46
Step-by-step explanation:
The answer is the x-coordinate of the point of intersection, which is 0.46
The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.
How to solve the equation?From the information given, the equation is given as log(6x + 10) = log 1/2x
In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.
By using graphing, it can be deduced that one will draw both graph on the same coordinate place.
From the graph, y1 and y2 simply intersect at point (0.46,1.12)
Therefore, the curve intersect at approximately x=0.46.
Learn more about equations on:
https://brainly.com/question/1214333
Sum of four consecutive multiplies of 7 is 70.Find these multiplies.
please
Answer: 7, 14, 21, 28
Step-by-step explanation:
Let first multiple = x
So, second multiple = x + 7
Third = x + 14
Fourth = x + 21
According to the question,
=>x + (x + 7)+ (x + 14) + (x + 21) = 70
=>4x + 42 = 70
=>4x = 28
=>x = 7
So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)
x+x/7 + 1/11 (x + x/7) = 60
Answer:
X= 48.125
Step-by-step explanation: