Which figures appear to be congruent?An image of 5 triangles on a 14 by 12 grid is shown.Triangle 1 has a base that is 4 units long. The upper vertex is 4 units above the midpoint of the base. To the right, triangle 2 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned in the triangle at the lower left vertex. Below triangle 1, triangle 3 has a horizontal leg that is 3.5 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 4 is toward the center of the grid. It has a horizontal leg that is 1 unit long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the upper right vertex. Triangle 5 is to the lower right. It has a horizontal leg that is 6 units long and a vertical leg that is 4 units long. A small square is positioned inside this triangle at the lower left vertex.
A. 1, 2, and 3
B. 1 and 4
C. 1 and 5
D. 2 and 3

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

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in 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000. find the avarage rate of change in the number of acres in a region used to grow nuts from 2004 to 2011

Answers

Consider the (x, y) coordinates to be: (2004, 510000) and (2011, 830000).

Average rate of change is another name for slope, So, use the slope formula: $m = (y2 - y1)/(x2 - x1)$

$m = (830,000 - 510,000)/(2011 - 2004)$

$m = (320,000)/(7)$

Answer: 320,000 acres every 7 years

Answer: 45714 per year.

Step-by-step explanation:

Given : In 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000.

Change in acres of farmland from 2004 to 2011 = 830000-510000=320,000

Change in year = 2011-2004=7

The average rate of change is given by :-

$\frac{\text{Change in acres of farmland}}{\text{Change in year}}\n\n=(320000)/(7)=45714.2857143\approx45714 \text{[Rounded to the nearest integer.]}$

Hence, the average rate of change in the number of acres in a region used to grow nuts from 2004 to 2011 is 45714 per year.

Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)?C(-1, -2)

D(-6, 3)

E(-3, -3)

F(-2, 6)

Answers

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$\hbox{the center: } A(-3,2) \nh=-3 \n k=2 \n \n\hbox{the equation:} \n(x+3)^2+(y-2)^2=r^2 \n \n\hbox{the circle passes through B(1,3)} \nx=1 \n y=3 \n \Downarrow \n(1+3)^2+(3-2)^2=r^2 \n4^2+1^2=r^2 \n16+1=r^2 \n17=r^2 \n \n\hbox{the equation is:} \n(x+3)^2+(y-2)^2=17$

Plug the coordinates of the points into the equation and check:
$C(-1,-2) \n(-1+3)^2+(-2-2)^2=17 \n2^2+(-4)^2=17 \n4+16=17 \n20=17 \nnot \ true \n \nD(-6,3) \n(-6+3)^2+(3-2)^2=17 \n(-3)^2+1^2=17 \n9+1=17 \n10=17 \nnot \ true$

$E(-3,-3) \n(-3+3)^2+(-3-2)^2=17 \n0^2+(-5)^2=17 \n25=17 \nnot \ true \n \nF(-2,6) \n(-2+3)^2+(6-2)^2=17 \n1^2+4^2=17 \n1+16=17 \n17=17 \ntrue$

The answer is F(-2,6).

6. a Suppose the measure of an angle is 25°. What is the measure of its complementary angle?

Answers

Answer:

65°

Step-by-step explanation:

A pair of complementary angles' measurements combined is equal to 90° in measurement. One of the angles given is 25°. To find the other one, simply subtract 90 with 25:

90 - 25 = 65

65° is the measurement of the complementary angle.

Answer:

Step-by-step explanation:

a complementary angle is either of two angles whose sum is 90°.

90 - 25 = 65

Will mark brainliest

Answers

2.21 is the answer :-/

Paul opened a bakery. The net value of the bakery (in thousands of dollars) ttt months after its creation is modeled by v(t)=2t^2-12t-14v(t)=2t 2 −12t−14v, left parenthesis, t, right parenthesis, equals, 2, t, squared, minus, 12, t, minus, 14 Paul wants to know what his bakery's lowest net value will be. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Answers

Given:

The net value of the bakery (in thousands of dollars) t months after its creation is modeled by

$v(t)=2t^2-12t-14$

Paul wants to know what his bakery's lowest net value will be.

To find:

The function in a different form (factored or vertex) where the answer appears as a number in the equation.

Solution:

Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.

We have,

$v(t)=2t^2-12t-14$

$v(t)=2(t^2-6t)-14$

Adding and subtract square of half of 6 in the parenthesis, we get

$v(t)=2(t^2-6t+3^2-3^2)-14$

$v(t)=2(t^2-6t+3^2)+2(-9)-14$

$v(t)=2(t-3)^2-18-14$ $[\because (a-b)^2=a^2-2ab+b^2]$

$v(t)=2(t-3)^2-32$

Vertex form:

$f(x)=a(x-h)^2+k$

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the of the function is (3,-32).

Therefore, the vertex form is $v(t)=2(t-3)^2-32$ and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means the minimum net value of the bakery is -32 after 3 months.

Given that,

Paul opened a bakery.

The net value of the bakery (in thousands of dollars) t months after its creation is modelled by the equation v(t) = 2t²- 12t - 14.

Paul wants to determine the bakery's lowest net value.

To rewrite the function in a different form,

Find the vertex of the quadratic equation.

The vertex form of a quadratic equation is given by,

v(t) = a(t-h)² + k,

Where (h, k) represents the coordinates of the vertex.

Proceed, v(t) = 2t² - 12t - 14,

v(t) = 2(t² - 6t) - 14,

v(t) = 2(t² - 6t + 3² - 3²) - 14

v(t) = 2(t - 3)² - 32

Vertex form:

v(t) = a(t-h)² + k,

where, (h,k) is vertex.

On comparing this equation with vertex form, we get the function is (3,-32).

Therefore,

The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means minimum net value of the bakery is -32 after 3 months.

To learn more about quadratic equations visit:

brainly.com/question/30098550

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A = 12, b = ?, c = 15a = ?, b = 7, c = 25
a = 8, b = 15, c = ?
a = 24, b = ?, c = 26

Answers

1: b=9
2: a= 24
3: c=17
4: b=10

Use a^2 + b^2 = c^2 to answer.
1: 12^2 (144) + b = 15^2 (225)
225-144 = 81
Square root 81 = 9
2: a + 49 = 625
625-49=576
Square root 576 = 24
3: 64 + 225 = 289
Square root 289 = 17
4: 576 + b = 676
676-576 = 100
Square root 100 = 10

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