7. The diagram shows a rhombus DEFG. The diagonals intersect at H. D E H G F Prove triangles DGH and EFH are congruent.​

Answer:

The answer is 8 : 22, 12:33 as they are two equelivant ratios 11 and 4

Step-by-step explanation:

[tex] - 24 > x + 4[/tex]

[tex] - 28 > x[/tex]

The factors of the binomial 5x²+8x-4 whose multiplication will give us the trinomial are (5x-2)(x+2).

To solve the problem we will find the roots of the binomial 5x²+8x-4,

[tex]5x^2+8x-4 \\\\\text{Finding the roots of 8}\\\\=5x^2+10x-2x-4\\\\=5x(x+2) -2(x+2)\\\\=(5x-2)(x+2)[/tex]

Hence, the factors of the binomial 5x²+8x-4 whose multiplication will give us the trinomial are (5x-2)(x+2).

Learn more about Binomial expression:

https://brainly.com/question/15265533

Answer:

n= - 3/5

Step-by-step explanation:

1- Substitute f ( n ) = 0 remove the parentheses

2- Calculate

3- Move the variable to the left

4- Divide both sides

Answer:

No, it isn't.  

Step-by-step explanation:

The correct statement would be K + 8 = 19  <<<<<<<<\

11 + 8 equals 19 not greater than 19.

Answer:

All answers below in explanation!

Step-by-step explanation:

1. x / 3 = 15 - 5

2. 2x = 11 + 6

3. x = -12

4. 400 - 20x = 60

Step-by-step explanation:

Simply Equation 1

R. H. S

6x^2 -x +3-2x^2-8

==> 6x^2-2x^2 -x +3-8

==> 4x^2-x-5 .....(1)

Simply equation 2

L. H. S

4x^2+2x-5-3x

==> 4x^2 +2x-3x-5

==> 4x^2-x-5 ....(2)

Since here, RHS = LHS

both eqn (1) = eqn(2)

hence they are equal.

Answer:

yes they are equal

Step-by-step explanation:

for the equation [tex]4x^{2} +2x-5-3x[/tex] you're going to collect like terms

2x-3x=5x

so your final equation is [tex]4x^{2} -x-5[/tex]

for the equation [tex]6x^{2} -x+3-2x^{2} -8[/tex] you're going to collect like terms

[tex]6x^{2} -2x^{2} =4x^{2}[/tex]

then you're going to calculate the difference

3x-8=-5

so your final equation is [tex]4x^{2} -x-5[/tex]

Answer:

m = 36

n = 3

Step-by-step explanation:

y varies inversely with x can be written as y ≅ 1/x.  As x goes up, y will go down.  We need a factor, N, to account for how much change occurs with each step.  There needs to be a factor involved, F, to account for how much change occurs with each step.  

Calculate the factor by using one of the known points.  I'll use (8,9):

y = F/x

9 = F/8

F = 72

The relation becomes y = 72/x.  Check this on the other given point, (12,6):

y = 72/x

6 = 72/12  ?   YES

Now use y = 72/x to find the two missing points, (m,2) and (24,n):

(m,2) 2 = 72/m,     m = 36

(24,n)  n = 72/24;   n = 3

Answer:

multiply

Step-by-step explanation:

It says for you to multiply.

Answer:

Multiplication...

Product means to multiply

Answer:

n = 135/7

Step-by-step explanation:

2 x long side + short side = 75

substitute measures                 ⇒ 2(1.5n + 3) + (0.5n + 1.5) = 75

multiply out brackets               ⇒ 3n + 6 + 0.5n + 1.5 = 75

gather like terms                      ⇒ 3n + 0.5 n + 6 + 1.5 = 75

combine like terms                  ⇒ 3.5n + 7.5 = 75

subtract 7.5 from both sides   ⇒ 3.5n = 67.5

divide both sides by 3.5          ⇒ n = 135/7

Answer:

vertex = (- 1, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

x = - [tex]\frac{2}{2}[/tex] = - 1

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )

Answer:

[tex] - 11 > 1 + a \\ - 11 - 1 > a \\ - 12 > a[/tex]

Answer:

53.85%

Step-by-step explanation:

75-48.75= 26.25

26.25/48.75x100= 53.8461538462 Round 53.85%

Check Answer:

48.75 x 53.85%=26.251875 Round 26.25

48.75 + 26.25=75

Hence, the correct answer is 53.85%.

Answer: 2,200 I took the quiz.

Step-by-step explanation: Hope this helps!✪ ω ✪

Answer:

1

Step-by-step explanation:

If it's given then it must be true

Answer:

$289,169.84 (to the nearest cent)

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound Interest = P (1 + r)^n

where P = principal amount, r = annual interest rate (as a decimal), n = term, in years​

So for this problem:

P = 185000

r = 1.4 ÷ 100 = 0.015

n = 30

Therefore,  

Compound Interest = P (1 + r)^n

                                = 185000 x (1 + 0.015)^30

                                = 185000 x (1.015)^30

                                = 289169.8408...

                                = $289,169.84 (to the nearest cent)

Answer:

126  miles

Step-by-step explanation:

1/4 inches = 9 miles

Divide 3.5 by 1/4 or 0.25

3.5 ÷ 0.25 = 14

Multiply 14 by 9

14 x 9 = 126

126 miles

Answer:

The cheetah can reach speeds of up to 100.70 feet per second in short bursts.

Answer:

12 + m

Step-by-step explanation:

it's 12 more, which would be +12 because it's adding 12

Answer:

x = 12

Step-by-step explanation:

42 + 4x = 90 ( as it is right angle)

transpose to find x

4x = 90 - 42

4x = 48

x = 48/4

x = 12

Answer:

x=12

Step-by-step explanation:

90-42=48 48/4=12

Answer:

System of equation : 14x+23y = 213 and y = x-2

The cost of regular tickets is $7 and the cost of tickets with donation is $5.

Step-by-step explanation:

Let regular ticket's cost be x and tickets with donation's cost be y.

14x+23y = 213

y = x-2

Now,

14x+23y = 213

or, 14x+23(x-2) = 213

or, 14x + 23x - 46 = 213

or, 37x = 259

so, x = 7

again,

y = x-2

or, y = 7-2

so, y = 5

Answer:

23 over 15 or 1.533

Step-by-step explanation:

Group like terms:

1+(3/5+-1/15)

Find LCD:

1+9/15+-1/15

Combine numerators:

15/15+8/15

And you get 23/15

Simplified:1 8/15

Decimal: 1.533

Answer:

110 members of a sports club play atleast one of the games, football, basketball and volleyball. If 20 play football and basketball only, 15 play football and volleyball only, 26 play basketball and volleyball only, x play all the three games, 2x each play

math

Of 45 students 30 play badminton and 26 play tennis. Each student play either badminton or tennis,determine how many students play:(a)badminton only (b) tennis only

probability and statistics

At a particular school with 200 male students, 58-play football, 40-play basketball, and 8 play both. What is the probability that a randomly selected male student plays a) At least one sport b) Neither sport c) Only basketball

Answer:

Step-by-step explanation:

Since RQTS is a parallelogram

[tex]\angle Q +\angle T=180^{o}[/tex]

[tex]3x+5+9x-17=180^o[/tex]

[tex]12x-12=180^o[/tex]

[tex]12x-12+12=180+12[/tex]

[tex]12x=192[/tex]

[tex]\cfrac{12x}{12}=\cfrac{192}{12}[/tex]

[tex]x=16[/tex]

Hope it helps!

Answer:

172 = y

Step-by-step explanation:

Using PEMDAS(parentheses, exponents, multiplication, division addition subtraction.)

Given:

12 x 12 + 3 x 8 - 10 + 19 = y

12x 12 = 144

3 x 8  = 24

144 + 24 = 168

168 - 10 = 158

158 + 19 =

177

so

177 = y

Answer:

177

Step-by-step explanation:

i dont know if its right but it might help

hope it does :)

Answer:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Step-by-step explanation:

Answer:

the answer is $1062.10

Step-by-step explanation:

explanation above

Answer:2y>x  or x<2y

x+y < 500

The points satisfying the 2nd inequality is a triangle bordered by the x and y axes and a downward sloping line connecting points (0,500) and (500,0)

the 1st inequality is half a plane, above the line x=2y or a  line through the origin, with slope 1/2

the two overlap in a triangle bordered by the y axis, the line x+y=500 and the line x=2y

It's a triangle with vertices (333 1/3, 166 2/3) (0,500) and the origin (0,0)

Basically

Step-by-step explanation:

Answer:

See attachment

Step-by-step explanation:

y = 4x       [ the amount, y, donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund, x]

y + 4x ≤ $500

Answer:

5

step explanation:

Use the distance formula to determine the distance between the two points.

Distance=√(x2−x1)2+(y2−y1)2

Substitute the actual values of the points into the distance formula.

√(1−(−3))2+(7−4)2

Simplify

5

Answer: I simplified it for you lol

Step-by-step explanation: Simplify the matrix.

19 + 266 inches