write one-half the difference of a number and six is greater than or equal to fifteen less than twice the number as an algebraic expression

By transitive property, HJ is congruent to HL.

Measure of ∠HJL = 31°

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

There are two types of quadrilateral : concave quadrilateral and convex quadrilateral.

Convex quadrilaterals are then sub-categorized to quadrilaterals like trapezoid, parallelogram, rectangle, rhombus, and square.

Given,

In quadrilateral HJKL,

Point J can be mapped to point K by a 46° counterclockwise rotation about point H.

So, ∠JHK = 46°

and HJ = HK        --------(1)

point K can be mapped to point L by a 72 counterclockwise rotation about point H.

So, ∠KHL = 72°

and HK = HL        --------(2)

By equation (1) and (2), applying transitive property

HJ = HL

Now, in triangle JHL

HJ = HL

Angles in a triangle are equal if opposite sides to them are equal

∴ ∠HJL = ∠HLJ

Sum of interior angles of a triangle is equal to 180°

∠HJL + ∠HLJ + ∠JHL = 180°

∠HJL + ∠HJL + ∠JHK + ∠KHL  = 180°

2∠HJL + 46° + 72° = 180°

2∠HJL = 180° - 118°

2∠HJL = 62°

∠HJL = 31°

Hence, by the calculation HJ is congruent to HL

and 31° is measure of ∠HJL.

Learn more about quadrilateral here:

https://brainly.com/question/29934291

#SPJ2

Is this a guessing question? If so, I would assume/guess maybe late middle school, to high school? To ask earlier, must mean your really into math and you've taken a lot of time to think about it...

Answer: Is this guessing question

Step-by-step explanation: Maybe around high school? Good luck tho.

Answer:

D.

35 ÷ 3 = 11.7

3 x 11 = 33

35 - 33 = 2

She can fill 11 bags and have 2 left over.

Step-by-step explanation:

Answer:    35/3

Step-by-step explanation:    

R-squared is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable.

Step-by-step explanation:

[tex] = {( - 2 {a}^{2} {b}^{4} )}^{3} [/tex]

[tex] = {( - 2)}^{3} {a}^{2 \times 3} {b}^{4 \times 3} [/tex]

[tex] = - 8 {a}^{6} {b}^{12} [/tex]

Option → D

Answer:

x= 80

y= 77

180-23=157

80+77=157

157+23=180

Answer:

x = 55°

Step-by-step explanation:

If ∡STV is a straight angle (or 180°) and ∡STW is 125°, then we can assume that the angles look something like this

     V |            / W

        |          /

        |  x°  /

     T |   /

        |  125°

        |

     S |

Now this means that to get ∡WTV, we need to subtract ∡STW from ∡STV, which would look like this:

180 - 125 = 55

This means ∡WTV (or x) = 55°

Answer:

The last one is the answer.

Step-by-step explanation:

Answer:

x = -13

Step-by-step explanation:

Equation:

(6x+8)/7 = -10

Multiply both sides by 7:

7* (6x+8)/7 = -10*7

6x+8 = -70

Subtract both sides by 8:

6x + 8 - 8 = -70 - 8

6x = -78

Divide both sides by 6:

6x/6 = -78/6

x = -13

Check answer:

(6*(-13) + 8)/7 = -10

(-78 + 8)/7 = -10

(-70)/7 = -10

-10 = -10

Our answer is correct :)

Answer:

Step-by-step explanation:

x = -13

Answer:

y = -1/3x - 1/3

Step-by-step explanation:

x + 3y = -5

3y = -x - 5

y = -1/3x -5/3

Slope - 1/3

Point: (-7,2)

y- intercept = 2 - (-1/3)(-7) = 2 - 7/3 = -1/3

Answer:

A. Yes

Step-by-step explanation:

Ok so let's simplify the ratios.

25:10 = 5:2

35:14 = 5:2

These ratios in their simplest form are equal which means yes they are equivalent to each other

Answer:

OPTION 3 112 IS THE ANSWERRR

111 or 112 not sure which one

Answer:

Step-by-step explanation:

its (0,0)

Answer:

8

Step-by-step explanation:

-7 · ? = -56

-7 · 8 = -56

so -56 ÷ -7 = 8

8

Answer:

a-2 is the answer for the problem

Answer:

119

Step-by-step explanation:

You would do

180 - (63+56) = 119

Answer:

i'll help

Step-by-step explanation:

Answer:

Yes also, search it up in the bar

Step-by-step explanation:

Answer: -0.875  -0.75  -1.6  0.9  1.2  2.5

Step-by-step explanation:

Answer:

130 miles

Step-by-step explanation:

The number of miles is 20 times the number of inches.

6.5 * 20 = 130

Answer: 130 miles

A number x is 8 less than 5 times the same number x. This means that :

x +8= 5x

We can also write :

5x = x +8

5x - x = x + 8 - x

4x = 8

4x / 4 = 8 / 4

x = 2

Answer:

g(x) = 0.5(0.8)^x + 2.

Step-by-step explanation:

At large positive values the required function needs to tend  to the value 2, so that excludes the 2 middle functions.

The function is also decreasing so the value in the parentheses must be < 1,

so it must be the last function.

Answer: The answer is 22.3125

Step-by-step explanation:

22 = 22 5/8 = 0.625 1/2 = 0.5

1) 22 + 5/8 x 1/2

2) 22 +( 0.625 x 0.5)

3) 22 + 0.3125

4) = 22.3125

Hope this helps:) I apologize in advance if it is wrong.

Answer:

[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis).

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (2, -1) and (-3, 3):

[tex]m=\displaystyle\frac{-1-3}{2-(-3)}\\\\m=\displaystyle\frac{-4}{2+3}\\\\m=-\displaystyle\frac{4}{5}[/tex]

Therefore, the slope of the line is [tex]-\displaystyle\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]

Plug in one of the given points and solve for b:

[tex]-1=-\displaystyle\frac{4}{5}(2)+b\\\\-1=-\displaystyle\frac{8}{5}+b\\\\b=\displaystyle\frac{3}{5}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{3}{5}[/tex]. Plug this back into [tex]y=-\displaystyle\frac{4}{5}x+b[/tex]:

[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]

I hope this helps!

Answer:

y= -0.8x + 0.6

Step-by-step explanation:

the ratio of apple juice to coconut milk to orange juice is:

45:100:20 = 9:20:4

Answer:

4x2 - 4x + 4.

Step-by-step explanation:

x2 - 3x - 4 -  (x - 3x2 - 8)        Distribute the negative over the parentheses:

= x2 - 3x - 4 - x + 3x2 + 8       Bring like terms together:

= x2 + 3x2 - 3x - x - 4 + 8

= 4x2 - 4x + 4.

Answer:

35

Step-by-step explanation:

i took the k12 test

Answer:

d to the a

Step-by-step explanation: