A T-shirt launcher can launch 5 shirts in 20 minutes. What’s the rate in shirts per hour

Using rigid motion, which statement is true about the triangles? △ABC is congruent to △DEF . △ABC is congruent to △FDE . △ABC is

julia-pushkina [17]

Answer:

△ABC is congruent to △DEF

Step-by-step explanation:

△DEF is a reflection of △ABC across the y-axis. (Each x-coordinate is negated.)

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Comment on presentation

This would be much easier to answer if you would use a conventional representation of ordered pairs:

... (-1, -2) instead of "begin ordered pair negative 1 comma negative 2 end ordered pair"

5 0

4 years ago

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If a² = 7/36, then a is a) Rational b) irrational c) whole number d) integer

Dvinal [7]

Answer:

a = + or - sqrt(7)/6, which are irrational ( Answer Choice (b) ) for either case.

Step-by-step explanation:

a^2 = 7/36 implies that

a^2 - 7/36 = 0, by subtracting 7/36 from both sides of the equation, which implies that

(a - sqrt(7)/6)(a + sqrt(7)/6) = 0, by factoring, which implies that

a - sqrt(7)/6 = 0 or a + sqrt(7)/6 = 0, by the zero product property of the real number system, which implies that

a = sqrt(7)/6 or a = - sqrt(7)/6, which are both irrational, since sqrt(7) is irrational and an irrational number divided by an integer (other than 0) is irrational.

5 0

3 years ago

Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale. 70 points answer i

scZoUnD [109]

Area of trapezoid = Area of middle rectangle + Area of the right triangle + Area of left triangle
Area of rectangle= 5cm*9cm=45cm^2
Area of right triangle= 0.5* 9cm *2cm=9cm^2
For the left triangle, its an isosceles triangle as the base angles are equal,
so area of left triangle= 9*9*0.5=40.5cm^2
Area of trapezoid= 40.5+45+9= 94.5cm^2

5 0

3 years ago

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50 POINTS AND BRAINLIEST!!!

Natasha2012 [34]

Answer:

b is the answer. this is because 17% is equivalent to 0.17 and meaning the information in answer b is exactly correct

5 0

4 years ago

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I need help badly please help

TiliK225 [7]

Answer:

10. The triangles are similar.

11. The slope of the line is $\displaystyle \frac{2}{3}$ .

12. The given equation is incorrect.

13. They have the same slope.

Step-by-step explanation:

Hi there!

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These two triangles are similar. They share angle QPT, and angles PTQ and PSR are have the same measure as well. Because these triangles share two congruent angles, they are therefore similar.

This is the AA similarity theorem, which states that if two angles in one triangle are the same as two angles of another, the two triangles are therefore similar.

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Points P and R both fall onto the line on the graph. The slope of a line is equal to its "rise over run", or "the number of units the line travels up" over "the number of units the line travels to the right".

Notice how, on the graph, for every 2 units the line travels up, it travels 3 units to the right.

Therefore, the slope of the line is 2 over 3, or $\displaystyle \frac{2}{3}$ .

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Linear equations are typically organized in slope-intercept form, which looks like this: $y=mx+b$ where m is the slope and b is the y-intercept, or the value of y when the line crosses the y-axis.

In the given equation $y=4x+\displaystyle \frac{2}{3}$ , the slope and the y-intercept have been switched. Therefore, this is an incorrect equation.

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These two lines both fall onto the same line that's been graphed on the same plane. Therefore, yes, they have the same slope.

I hope this helps!

7 0

2 years ago