Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?

a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.

b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.

c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.

d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.

Answer:

b = 3

Step-by-step explanation:

Substitute the y- coordinate 15 into the equation , that is

15 = 5x ( divide both sides by 5 )

3 = x

This is the x- coordinate of the point , so b = 3

Answer:

Step-by-step explanation:

14.

by pythagoras,s theorem

[tex]x=\sqrt{2^2+2^2} =\sqrt{8} =\sqrt{4 \times 2} =2\sqrt{2} \\y^2=x^2+2^2=(2\sqrt{2} )^2+2^2=8+4=12=4 \times 3\\y=2\sqrt{3}[/tex]

15.

first perpendicular=y(say)

and second perpendicular=z (say)

y²=9²+7²=81+49=130

z²=y²+5²=130+25=155

x²=z²+4²=155+16=171

x=√(171)

Answer:

the answer is 44

Step-by-step explanation:

4*2=8

48-(32:8)

48-(4)

44

I really hope it helps:))))))))))

Answer:

C. 32

Step-by-step explanation:

Order of Operations: Multiplication/Division (left to right) comes before Addition/Subtraction (left to right).

48 - 32/4 x 2 (Division)

48 - 8 x 2 (Multiplication)

48 - 16 (Subtraction)

32

Answer:

c is the answer

Step-by-step explanation:

Answer:

Answers                                                     Work

a.60 miles in one hour                               420/7                

b.12 customers in one day                        360/30

c.2.5 meters in I second                            40/16

d.$1.59 for 1 pound                                   7.96/5

Step-by-step explanation:

Answer:

your inequality signs are correct so i'll skip those

-2.06, .9803

.67, .7486

Step-by-step explanation:

1.)

To do this one you need to standardize x by subtracting the mean and dividng by the standard deviation

(1000-3262)/1100= -2.056 which i will round to -2.06

with this as our z value use the table to find the associated probability

.9803

2.)

Same process

(4000-3262)/1100=.67

which has a probability of .7486

Answer:

Use Guathmath app for answer

Step-by-step explanation:

use this formula.

Formula to calculate cost price if selling price and profit percentage are given: CP = ( SP * 100 ) / ( 100 + percentage profit).

Answer:

-3

-7/3

Step-by-step explanation:

Let u=x+2

We need to now solve 3u^2+4u+1=0 for u.

I'm going to try factoring. 3u (u)=3u^2 and 1(1)=1 so I'm going to try factored form (3u+1)(u+1).

Since 3u(1)+1(u)=4u, we are done.

Since (3u+1)(u+1)=0, then either 3u+1=0 or u+1=0.

Let's solve u+1=0 by subtracting 1 on both sides which obtains for us that u=-1.

Let's solve 3u+1=0 by subtracting 1 and then dividing both sides by 3 which obtains for us u=-1/3.

Since u=x+2, we are down to just solving the following:

x+2=-1 and x+2=-1/3

Both equations require us to subtract 2 on both sides.

The solutions are

x=-1-2=-3 and x=-1/3-2=-7/3

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol {} Let : t=x+2 \ \ ; \ \ t^2=(x+2)^2\\\\3(x+2)^2+4(x+2)+1 =0 \\\\\\3t^2+4t+1=0 \\\\D=16-12=4 \\\\ t_{1}=\dfrac{-4-2}{6} =-1 \ \ ; \ \ \boxed{x_1=-3 }\\\\\\ t_2=\dfrac{-4+2}{6} =-\dfrac{1}{3} \ \ ; \ \boxed{x_2=-2\frac{1}{3} }[/tex]

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

To find f(2), we need √(x+1) = 2. That means x+1 = 2^2, so x = 4-1 = 3.

Then f(2) = 1/x = 1/3.

2 figures - 7.3

3 figures - 7.35

4 figures - 7.348

9514 1404 393

Answer:

  (-∞, -4] U [-1, ∞)

Step-by-step explanation:

The quadratic expression factors as ...

  x^2 +5x +4 = (x +4)(x +1)

The zeros of this expression are where these factors are zero, at x=-4 and x=-1. The product is negative when one factor is negative and the other is positive, in the region -4 < x < -1. It is non-negative elsewhere. f(x) is defined where the quadratic is not negative, on the union of intervals ...

  (-∞, -4] U [-1, ∞)

Answer:

-4 <= x >= -1

Step-by-step explanation:

Find where x^2+5x+4 < 0, negative sq roots are imagingary numbers.

So factor

(x + 4) (x + 1) = 0

x = -4 and x = -1

so x must be <= -4 or x >= -1

the interval is

-4 <= x >= -1

Answer:

Hello,

Answer D

Step-by-step explanation:

[tex]x=ln(7.2)\\\\\Longleftrightarrow\ e^{x}=e^{ln(7.2)}\\\\\Longleftrightarrow\ e^{x}=7.2\\\\Answer\ D[/tex]

Answer:

1/14

Step-by-step explanation:

2/28÷2=1/14

Answer:

173.4 cm^2

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4 cm^2

Answer:

83°

Step-by-step explanation:

A triangle adds up to 180°

180-(53+44)

Answer:

B

Step-by-step explanation:

(Slant height)^2= (Radius)^2+(Height)^2

(20)^2= (12)^2+(Height)^2

Height=16

Answer:

B. pls mark me at brainliest and like my answer.

Step-by-step explanation:

⩥ɓeŋʝ⩤

Answer:

hey mateee

corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

so the ans wud be

a b and e :))))))

3 and 6,they both correspond each other and are equal,looking at how they r sort of opposite eac other.

DON'T JUDGE ME IF I'M WRONG IS BEEN 6 MONTHS SINCE I DID SOME MIDDLE SCHOOL MATH...

Answer: 17

Step-by-step explanation:

Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7

10 +7 is 17.

also i hope this helps and i hope this is not a test...

Answer:

g(x) = –log2(x + 2)

Step-by-step explanation:

got it right on the assignment

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = log 2x

The function is reflected over the x-axis, then the function will be

h(x) = - log 2x

And shifting left by 2 units, then replace x with (x + 2). Then the equation will be

g(x) = - log 2(x + 2)

g(x) = - log 2x + 4

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

The graph is given below.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ6

Answer:

A is false

Step-by-step explanation:

notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.

basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.

Answer: 20 times 2 = 40/ 40 divided by 2 = 20

Step-by-step explanation: Both of them are used to help find the answer to the equation.

Answer:

72ft

Step-by-step explanation:

A=wl=9·8=72ft²

Answer: 60

Step-by-step explanation:

5+5+5+5+5+5+5+5+5+5+5+5=12 so 5x12 is 60 use repeated addition

Answer:

24 horses and 12 chicken

Answer

24chickens and 14 horses

Step-by-step explanation:

Answer:

3rd option, 2√10

Step-by-step explanation:

x²=4×10

or, x=√(4×10)

or, x=2√10

Answer: C, 2√10

Step-by-step explanation:

Answer:

The answer is 4.75

Step-by-step explanation:

Since six months is 28.50 then 1 month is equal to x

       28.50: 6 months

           x     : 1 month

 After this  you cross multiple so u divide by 6 both side to get 4.75

   6x/6: 28.50/6

   x=4.75

Geometric Mean = √(ab)

a = 7

b = 56

Geometric mean = √(7×56)

After prime factorization of 56 we get 2 × 2 × 2 × 7

√(7×7×2×2×2)

7×2√2

14√2

Therefore the answer is option d

Must click thanks and mark brainliest

Answer:

I'll add this so that u can give that person brainliest ^^

Answer: The equation is [tex](x+4)^2 + (y-4)^2 = 9\\\\[/tex]

Center = (-4,4)

Radius = 3

===========================================================

Explanation:

This graph shows the circle's center is at (-4, 4)

Recall in general, the center is (h,k)

So we see that (h,k) = (-4,4). More specifically: h = -4 and k = 4.

The radius of this circle is r = 3 as this is the distance from the center to any point on the edge. For example, go from (-4,4) to (-1,4).

With the h, k and r values in mind, we then say the following:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-(-4))^2 + (y-4)^2 = 3^2\\\\(x+4)^2 + (y-4)^2 = 9\\\\[/tex]

which represents the equation of this circle.

Answer:

the correct answer is

B . 9

9 X 9 = 81

Step-by-step explanation:

Answer:

OPTION(B):Square root of 81 is 9

Answer:

98

Step-by-step explanation:

The value of the expression below when x=3 and y=8 is 98.