The figure shows two equilateral triangles with a shared side. Can the triangles ΔIHJ and ΔIKJ be proven congruent?
Question 20 options:

A)

Yes, ΔIHJ ≅ ΔIKJ by AAA.

B)

No, ΔIHJ and ΔIKJ aren't congruent because SSA isn't a congruence theorem.

C)

Yes, ΔIHJ ≅ ΔIKJ by SSS.

D)

There isn't enough information.

Answer: 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y = 3x - 1

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

Answer:

y=-6x+8

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.

We know a point (2,-4) and a slope -6.

We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.

-4=-6(2)+b

multiply

-4=-12+b

add 12 to both sides

8=b

the y intercept is (0,8)

Now we know what b is, so we know what the full equation is:

y=-6x+8

hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

because 4 pints is a quart and 4 quarts is a gallon and 16 cups in a gallon

Answer:

18.7

Step-by-step explanation:

5.5 × 6.8 = 37.4 / 2 = 18.7

Answer:

This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h

A = (1/2 x 6.8 ) x5.5 = 18.7 ft²

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

[tex]\cos (x-10\degree )= \frac{ \sqrt{3} }{2} \\ \\ \cos (x-10\degree )=\cos 30\degree \\ \\ x-10\degree = 30\degree \\ \\ x = 30\degree + 10\degree \\ \\ x = 40\degree[/tex]

Answer:

x=5/26

Step-by-step explanation:

5/2x+2=3.5

5/2x+2=3×5

5/2x=15-2

5/2x=13

5=26x

5/26=x

x=5/26

hope this help if you want a better explanation I'll explain in the comments or something

Answer:

After multiplying, we get two Pythagorean triples (sorry for not writing it all out, it's a really long process). With those, we can simplify down to 289/100

9514 1404 393

Answer:

  A.  3/13

Step-by-step explanation:

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

Using the given points, this is ...

  m = (-4 -(-1))/(-8 -5) = -3/-13 = 3/13

Answer:

23,24,25,26

Step-by-step explanation:

X+(x+1)+(x+2)+(x+3)= 100

4x+6=100

4x=100-6

X=94/4

X=23.5

Ads the sum is said to be AT MOST  100 SO WE WILL ROUND DOWN THE NUMBER

So x=23

X+1=24

X+2=25

X+3=26

Sum=23+24+25+26=98

98<100 so answer is correct

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

Answer:

I think the answer is 78.

Answer:

Answer is 2

Step-by-step explanation:

Because The other answers dont punctuation and answer 2 explains as the president

Answer:10

Step-by-s First of all, note that 15 is the same as 15/1 since 15 divided by 1 is 15. Therefore, start by setting up the problem like this

Step 2: Multiply

Multiply the numerators together (15 x 2 = 30) and multiply the denominators together (1 x 3 = 3) and make it into one fraction like so:

Step 3: Minimize

The greatest common factor of 30 and 3 is 3. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:

Step 4: Convert

Convert the improper fraction above to a whole number to get the answer:

That's it! Now you know how to calculate 15 times 2/3.

Answer:

A.

Step-by-step explanation:

no slope, the line is just y = 4

Answer:

x=-2

Step-by-step explanation:

y=-3x

4x-2y=-20

2y=4x+20

y=2x+10

subs y

2x+10=-3x

5x=-10

x=-2

Answer:

length of each edge = (x + 3)

Step-by-step explanation:

The surface area of each face of the cube = ([tex]x^{2}[/tex] + 6x + 9) [tex]m^{2}[/tex]. But the surface of a cube has the shape of a square. So that,

Area of a square = length x length

                            = [tex]l^{2}[/tex]

By factorizing the area,

[tex]x^{2}[/tex] + 6x + 9 = [tex]x^{2}[/tex] + 3x + 3x + 9

                  = ([tex]x^{2}[/tex] + 3x) (3x + 9)

                  = x(x +3) + 3(x + 3)

                  = (x + 3)(x + 3)

                  = [tex](x + 3)^{2}[/tex]

[tex]x^{2}[/tex] + 6x + 9 = [tex](x + 3)^{2}[/tex]

Thus,

[tex](x + 3)^{2}[/tex] = [tex]l^{2}[/tex]

find the square root of both sides

l = (x + 3)

length of each edge = (x + 3)

Answer:

Thanks so much, let me know if you need help with hw or something :)

Answer:

Can't tell of this trolling or not

But I'll take the points?

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

Answer:

the probability is 28.6% that you get both correct

Step-by-step explanation:

Answer:

Option D i.e. y = 1/2 x is the correct answer.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where k is the constant of proportionality.

In our case, the only equation which maps in accordance with y = kx is y = 1/2x.

i.e.

y = 1/2 x

here k = 1/2

Thus, k = 1/2 is the constant of proportionality.

Therefore, option D i.e. y = 1/2 x is the correct answer.

Answer:

Perimeter = 32 cm

Step-by-step explanation:

Use the property of tangents drawn to a circle,

"Length of tangents drawn to a circle drawn from a point given outside the circle are equal"

AE = AH = 3 cm

BE = FB = 4 cm

CG = CF = 5 cm

Since, ∠B ≅ ∠D,

Therefore, length of tangents drawn from D will be equal to the length of tangents drawn form B.

Therefore, DG = DH = 4 cm

Now AB = AE + BE

              = 3 + 4

              = 7 cm

BC = FB + CF

     = 4 + 5

      = 9 cm

CD = CG + DG

     = 5 + 4

     = 9 cm

AD = AH + HD

     = 3 + 4

     = 7 cm

Perimeter of ABCD = AB + BC + CD + AD

                                                   = 7 + 9 + 9 + 7

                                                   = 32 cm

Answer:

Esta persona invirtió $ 6000 a la cuenta bancaria que paga 5 % de interés simple anual y $ 19000 a la cuenta bancaria que paga 6 % de interés simple anual.

Step-by-step explanation:

Esta persona invierte [tex]x[/tex] a la cuenta bancaria que paga 5 % de interés simple anual y [tex]25000-x[/tex] a la cuenta bancaria que paga 6 % de interés simple anual. Recibe [tex]1440[/tex] como consecuencia de las ganancias de las dos cuentas, es decir:

[tex]\frac{5\cdot x}{100} + \frac{6\cdot (25000-x)}{100} = 1440[/tex] (1)  

Ahora procedemos a resolver la ecuación resultante:

[tex]5\cdot x + 150000-6\cdot x = 144000[/tex]

[tex]150000-144000 = 6\cdot x - 5\cdot x[/tex]

[tex]x = 6000[/tex]

En consecuencia, esta persona invirtió $ 6000 a la cuenta bancaria que paga 5 % de interés simple anual y $ 19000 a la cuenta bancaria que paga 6 % de interés simple anual.

Answer:

P(B) = 0.46

Step-by-step explanation:

Probability

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

Answer:

Step-by-step explanation:

15× 8 = 120

Answer:

d ≥ 120

Step-by-step explanation:

Multiply 15 x 8

= 120

At Least means we use the ≥ sign.

So its d ≥ 120

Sorry if this is late!