Greetings from Brasil...
It is said that polygons are similar, so we can use the expression of similarity.
BIG/small = BIG/small
35/14 = 25/X
X = 10
But the scale factor is questioned. Just use one of the expressions. We conclude that the largest is 2.5 times the value of the smallest
35/14 OR 40/16 OR 25/10
We get 2.5x-----------------------------------------------------------
BIG/small = BIG/small
25/5 = 40/Y
Y = 8
25/5 OR 25/5 OR 40/8
We get 5xtimes the value of the smallest
Compute the value of each expression |-1||-||5|
Answer:
5
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between − 1 and 0 is 1
1 |-5|
Multiply | − 5 | by 1
The absolute value is the distance between a number and zero. The distance between − 5 and 0 is 5
Hope this can help
At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F.
At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?
Answer:
The evening temperature is 4° F
Step-by-step explanation:
6° F below 0 = -6.
15° F. -6 + 15 is 9.
9° F. 5° F. 9 - 5 = 4
Is MNO=PQR? If so, name the congruence postulate that applies.
Given:
ME=PQ
NO=QR
MO=PR
A. Congruent - ASA
B. Congruent - SSS
C. Congruent - SAS
D. Might not be congruent
Answer:
B. Congruent - SSS
Step-by-step explanation:
Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.
ΔMNO ≅ ΔPQR due to Congruent-SSS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given:
In ΔMNO and ΔPQR
Side ME=Side PQ
Side NO=Side QR
Side MO=Side PR
MNO ≅PQR
Since, corresponding sides of both the triangles are congruent.
So, both the triangles are congruent by SSS Postulate.
Hence , ΔMNO ≅ ΔPQR
learn more about of congruent triangles
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Which of the following is the first step when copying a line segment to construct a new line segment?
a. draw a line segment
b. use a straight edge to connect the point not on the line segment to a point in the arc
c. plot a point not on the original line segment
d. draw an arc
Answer:
The correct option is;
c. Plot a point not on the original line segment
Step-by-step explanation:
The steps to copy a line segment are;
1) Plot a point that will be an endpoint of the new line segment
2) With the compass pin at the beginning of the original line segment, open the compass width to the end of the original line segment
3) With the adjusted compass width from the above step place the compass pin at the plotted point of the new line segment and draw an arc in the region the new line segment is to be located
4) Select a point on the arc where the other end of the new line will be
5) From the selected point from the above step, draw a line to the point plotted as the beginning of the new line segment
6) The length of the line drawn above is the same as the length of the original line segment.
The value of (2+3)(2-3) is
Step-by-step explanation:
(2+3)(2-3)
=5×(-1)
= -5
good morning
have a great day
Identify the equation of the circle that has its center at (7, -24) and passes
through the origin
A. (x - 7)^2 + (y + 24)^2 = 625
B. (x + 7)^2 + (y - 24)^2 = 25
c. (x - 7)^2 + (y + 24)^2 = 25
D. (x + 7)^2 + (y - 24)^2 = 625
Answer:
x = 7 e y = -24
Step-by-step explanation:
The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
What is an equation of a circle?A circle can be characterized by its centre's location and its radius's length.
Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)²+(y-k)²=r²
The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.
Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.
Therefore, the radius of the circle will be,
Radius = √[(7-0)² + (-24 - 0)²]
= √(49 + 576)
= √(625)
= 25
Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,
(x - h)² + (y - k)² = r²
[x - 7]² + [y - (-24)]² = (25)²
(x - 7)² + (y + 24)² = 625
Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
Learn more about the Equation of a circle here:
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Plz Help I Will Mark Brainliest If Right!!!!!!!!!!!!!!!!!!!!!!!
Determine the domain of the function.
f as a function of x is equal to the square root of one minus x.
A). All real numbers
B). x > 1
C). x ≤ 1
D). All real numbers except 1
Hey There!!~
Your best answer choice is B). x > 1.
Good Luck!!
6. It started snowing at 1 P.M.. At 6 P.M., the total snowfall is 8 centimeters.
What is the mean hourly snowfall?
is this finding the unit rate cause i forgot how to please someone answer quick!!!
Answer:
(8/5) Centimeyers
Step-by-step explanation:
From 1 PM to 6 PM there is a 5 Hour difference.
Mean (total/hours) = 8/5
Answer:
1.6 cm/hour.
Step-by-step explanation:
Yes it is the unit rate.
So mean horly snowfall = total snowfall / time
= 8 / (6 - 1)
= 8/5
= 1.6 cm/hour.
it the repeating number 0.362799791799176191... rational or irrational and why
Answer:
no, because the number is not repeating
Step-by-step explanation:
help me you im in danger right now
Answer:
B
Step-by-step explanation:
The student's mistake was between Step 1 and Step 2.
Here, on the left side, they added 6x and 2x. The result should be 8x, not 4x.
It should be 8x-15=3x-75, not 4x-15=3x-75.
Chloe rolled 2 dice. Given that one die showed a 6, what is the probability that she rolled double 6? (Hint: Conditional Probability)
Answer:
1/6
Step-by-step explanation:
since they already tells us six has been rolled already, we depend on the second which can only show 1-6. There are six numbers so the answer is 1/6
Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jillian spend all together?
Answer:
Jillian spent $14.49 altogether.
Step-by-step explanation:
Let a = pounds of apples, p = pounds of peanuts, and t = total cost
t = 3.09a + 0.87p
t = 3.09(3) + 0.87(6)
t = 9.27 + 5.22
t = 14.49
Solve for x.
5x – 3 = 2x +12
Answer:
X = 5
HOPE IT IS HELPFULLY.An apartment complex has several 9-story buildings, and every apartment in the complex has a unique number. On the first floor of one of the buildings, you see four apartments numbered 109, 110, 111, and 112. In which building and on which floor is apartment 207?
Answer:
The apartment with the number 207 is in the second floor of the building that comes before the building with apartments numbered 109, 110, 111, and 112
Step-by-step explanation:
The given information of the naming of the apartments are;
The four apartments on the first floor of the building were numbered, 109, 110, 111, and 112
Therefore;
The first digit number, 1, which is consistent, represent the floor number (first floor)
The buildings in the complex are 9-story buildings, with 9 × 4 = 36 Apartments each
Therefore, for the numbers of the apartment to be from 9 to 12, on the floor, the numbering of the apartments is sideways such that the numbers of the apartment in the given building will be X09, X10, X11, and X12, where X is the floor number
The previous building apartment will be numbered X05, X06, X07, X08
Therefore, the apartment with the number 207 is in the second floor of the previous building to the one given.
Answer:
Apartment 207 is in 7th floor of the building number 6 .
Step-by-step explanation:
Given:
There are 9 floors in the building
The number of building and floor of apartment 207 .
Each floor in the building has four apartments
The number of apartment in a building = 4 * 9 = 36
Numbers on each floors are 01 to 36 after floor number
first floor of one of the buildings, we have four apartments numbered 109, 110, 111, and 112.
From the numbers, 1 is representing the floor number
9 , 10 , 11 & 12 are representing four apartments number
Recall,
Each floor has 4 apartments
207 = 36 * 5 + 4 * 6 + 3
36 * 5 = 5 buildings
4 * 6 = 6 floor of 6th building
180+24=204
205 - 208 =6th building 7th floor
Apartment 207 is in 7th floor of the building number 6 .
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
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у
1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
Yes and the equation is 2y=-x-7
Step-by-step explanation:
Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7
HELP!! For questions 9-12 evaluate each function for the given value
Answer:
9). h² - 7h + 11
10). 2a² + 14a + 16
11). 3
12). 2h + 4x - 3
Step-by-step explanation:
9). If j(x) = x² + x - 1
j(h - 4) = (h - 4)² +(h - 4) - 1
= h² - 8h + 16 + h - 4 - 1
= h² - 7h + 11
10). If f(x) = 2x² + 2x - 8
f(a + 3) = 2(a + 3)² + 2(a + 3) - 8
= 2(a² + 6a + 9) + 2a + 6 - 8
= 2a² + 12a + 18 + 2a - 2
= 2a² + 14a + 16
11). If f(x) = 3x - 1
[tex]\frac{f(x+h)-f(x)}{h}=\frac{3(x+h)-1-(3x-1)}{h}[/tex]
[tex]=\frac{3x+3h-1-3x+1}{h}[/tex]
= 3
12). If, f(t) = 2t² - 3t + 7
[tex]\frac{f(x+h)-f(x)}{h}=\frac{2(x+h)^{2}-3(x+h)+7-(2x^2-3x+7)}{h}[/tex]
[tex]=\frac{2(x^2+h^2+2hx)-3x-3h+7-2x^2+3x-7}{h}[/tex]
[tex]=\frac{2x^2+2h^2+4hx-3x-3h+7-2x^2+3x-7}{h}[/tex]
[tex]=\frac{2h^2+4hx-3h}{h}[/tex]
= 2h + 4x - 3
if AC= 40 find the length of jk
Answer:
JK = 24
Step-by-step explanation:
Δ BKJ and Δ BCA are similar and ratios of corresponding sides are equal, that is
[tex]\frac{JK}{AC}[/tex] = [tex]\frac{BK}{BC}[/tex] , substitute values
[tex]\frac{JK}{40}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5JK = 120 ( divide both sides by 5 )
JK = 24
Camila llama a cuatro compañeras y les informa sobre una campaña de recoleccion de alimentos. Cada una de estas amigas llama a otras cuatro amigas para contarles sobre la campaña, y luego estas llaman a 4 nuevas amigas.¿cuantas amigas se enteran de este llamado?
Answer:
El total de amigos que se enteran del es 84 amigos.
Step-by-step explanation:
Camila llama a cuatro acompañantes y les informa sobre una colecta de alimentos. Cada uno de estos amigos llama a otros cuatro amigos para contarles sobre la campaña, y luego llaman a 4 nuevos amigos. ¿Cuántos amigos se enteran de esta llamada?
El número de compañeros que llamó Camila = 4 amigos
Cada uno de los cuatro amigos llamó a otros cuatro amigos para hacer = 4 × 4 = 16 amigos
Cada uno de los dieciséis amigos llamó a otros cuatro amigos para hacer = 16 × 4 = 64 amigos
Por lo tanto, el número total de amigos que se enteran de la llamada para dar información sobre una colecta de alimentos = 4 + 16 + 64 = 84 amigos.
complete the sentence. in ABC, if m CAD =29°, the m DAB is____?
Answer:
sorry on the wrong one
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
29 is the ffggy and the
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is __________________________________.
This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
-------------------------------------------------------------------
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60
This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:
[tex]H_0: p = 0.6[/tex]
At the alternative hypothesis, we test if the proportion is different of 0.6, that is:
[tex]H_1: p \neq 0.6[/tex]
-------------------------------------------------------------------
Decision rule:
Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:
Accept the null hypothesis: [tex]|Z| < 1.645[/tex]
Reject the null hypothesis: [tex]|Z| > 1.645[/tex]
-------------------------------------------------------------------
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]
75 out of a sample of 140:
This means that:
[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]
-------------------------------------------------------------------
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]
[tex]z = -1.55[/tex]
So |z| = 1.55
-------------------------------------------------------------------
Decision:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
For a similar example, you can check https://brainly.com/question/24166849
The height of a triangle is 5cm more than half the base of the triangle. The area of the triangle is 6cm^2. Find the base and height of the triangle
Answer:
Base = 2 cm and height = 6 cm.
Step-by-step explanation:
Area = 1/2 * base + height
Let b be the base and h = height of the given triangle, then
6 = b/2 * h
6 = b/2(b/2 + 5)
b^2/4 + 5b/2 - 6 = 0
b^2 + 10b - 24 = 0
(b + 12)(b - 2) = 0
b = 2 (we neglect the negative b = -12)
So h = b/2 + 5 = 2/2 + 5 = 6.
which choice is the solution set for the inequality below
x < 3
Answer:
B) x < 9
Step-by-step explanation:
√x < 3
(√x)² > 3²
x < 9
what is the equation of the line written in general form?
Answer:
option 2 or y + x -2 = 0
Step-by-step explanation:
Given a line on a graph, it is easiest to start with point-slope form.
y = mx + b
where m is the slope (rise/run) and b is the y-axis intercept.
From the plot m = -2/2 = -1 and b = 2 SO
y = mx + b
y = -x + 2
Then the general form is
y + x -2 = 0
A cotton candy vendor has 27 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?
Answer:
36
Step-by-step explanation:
Let the total number of cotton candy = A
Number of blue cotton candy = 27 cones
Percentage of blue cotton candy = 75%
Therefore, the total number of cotton candy is calculated as:
27/A × 100 = 75%
2700/A = 75
Cross Multiply
75A = 2700
A = 2700/75
A = 36
Therefore, the amount of total cotton candy that we have is 36.
I’m so cool taht you should help me!
Answer:
See figure below.
Step-by-step explanation:
Start with each expression in the right column.
Combine like terms, and look for the answer in the left column.
See figure below.
Answer:
:4t+8=1-9t+7+6t+7t.
:-2t-9=2t-t-4-3t-5.
:-4t+8=-5t+8+t.
:2t-9=-t+3+3t-12.
Plzzzz someone help. Will mark brainiest is correct!!!!
Photo attached
Answer:
Your last step ( step 5 ) :
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]
Step 6:
[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]
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The area of a square field is 1 17/64 m2. What is the perimeter of the square field? Can some1 say this ans fast pls
Answer:
5.41 m
Step-by-step explanation:
First, let's find a side length by taking the square root of the area.
117/64 ^ 1/2 = 1.352...
Next, we need to multiply by 4.
1.352... x 4 = 5.408...
= approximately 5.41
Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.
Answer:
y=(3/4)x+2
Step-by-step explanation:
write the equation in slope-intercept form: y=(3/4)x - 3
since it is parallel the slope is the same so we have y=(3/4)x + b
then plug in the point (-1) = (3/4)(-4) + b
-1 = -3 +b, b=2
y= (3/4)x + 2
Which expression converts 100 inches per minute to feet per minute?
Answer:
C 100 inches/ minute * 1 ft/ 12 inches
Step-by-step explanation:
100 inches/ minute
We need to convert inches to ft
12 inches = 1 ft
100 inches/ minute * 1 ft/ 12 inches