True or false?

Mathematics

1 answer:

Nata [24]3 years ago

6 0

True...

the longer the coffee sits the cooler it will be

false ,, the length of time is independent

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If m<BEG = (19x + 3)° and m<EGC = (m<GCB + 4x)°, which of the following statements is true about quadrilateral BEGC? Se

viktelen [127]

Answer:

The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only

Step-by-step explanation:

* Lets revise some facts about the quadrilateral

- Quadrilateral is a polygon of 4 sides

- The sum of measures of the interior angles of any quadrilateral is 360°

- The sum of measures of the exterior angles of any quadrilateral is 360°

* Lets solve the problem

- DEGC is a quadrilateral

∵ m∠BEG = (19x + 3)°

∵ m∠EGC = (m∠GCB + 4x)°

∵ The sum of the measures of its interior angles is 360°

∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360

∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms

∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides

∴ 23x + 2m∠GCB + m∠CBE = 375

∵ The sum of measures of the exterior angles of any quadrilateral is 360°

∴ The statement in answer F is only true

3 0

3 years ago

Decrease £120 by 45%

Dovator [93]

120 * 45 % = 120 *0,45 = 54 £

120 -54 = 66 £

7 0

3 years ago

Read 2 more answers

write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please

faust18 [17]

Answer:

$y = \frac{1}{5} x - 9$

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope $= \frac{rise}{run}$ . So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, b). So, it becomes (0, -9).

Now that we have our slope (m ) = 1/5, and the y-intercept (b ) = -9, we can write the equation of the line as:

$y = \frac{1}{5} x - 9$

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).

Please mark my answers as the Brainliest if you find my explanations helpful :)