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Genrish500 [490]
3 years ago
11

What is the area of this trapezoid?

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

Answer:

are of trapezoid =1/2×height(a+b)

Step-by-step explanation:

A=1/2×8(10+20)

=4×30

=120cm*

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The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q
Mumz [18]

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

\sqrt{ {( n  -  n}) ^{2} +  {( 3-  ( - 2)  })^{2}   }

=  >  \sqrt{ {(3 + 2)}^{2} }  =  \sqrt{ {5}^{2} }  = 5

Distance between P & R =

\sqrt{ {(n - 0)}^{2} +  {(3 - 3)}^{2}  }

=  >  \sqrt{ {n}^{2} }  = n

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

n = 5

8 0
2 years ago
3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to
Len [333]

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

Hypothesis: If M is the midpoint of line segment PQ,

Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,

6 0
1 year ago
Plz help simplify 8/10​
Free_Kalibri [48]

\frac{8}{10} → \frac{4}{5}

8 and 10 can both be divided by 2. So, 8 ÷ 2 is 4 and 10 ÷ 2 is 5.

Hope this helps :)

3 0
3 years ago
Read 2 more answers
Which point lies on the circle represented by the equation (x+5) + (y-9) = 8
olga_2 [115]

Answer:

(-5,9+√8)

Step-by-step explanation:

There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.

the general equation of a circle is:

(x-h)^2+(y-k)^2=r^2

with center at (h,k)

you have the following equation:

(x+5)^2+(y-9)^2=8\\\\h=-5\\\\k=9\\\\r=\sqrt{8}

Then, the center is (-5,9)

if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have

(-5,9+r)=(-5,9+\sqrt{8})

Then, one point that lies in the circle is (-5,9+√8)

3 0
3 years ago
20 POINTS for anyone that can help!
ANTONII [103]

Answer:

ABCD is a square and a rectangle, just graph the points to see the shape it makes

4 0
3 years ago
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