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r-ruslan [8.4K]
2 years ago
9

Find the value of z in parallelogram CDEF

Mathematics
1 answer:
amid [387]2 years ago
4 0

Answer:

z = 13

Step-by-step explanation:

Opposite sides of a parallelogram are equal. Therefore:

3z = z + 26

Subtracf z from each side

3z - z = 26

2z = 26

z = 26/2

z = 13

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Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively
Zanzabum

The <em><u>correct answer</u></em> is:

Corresponding (for both blanks)

Explanation:

Corresponding angles are angles that are in the same relative position to both the parallel line they are on and the transversal.  In this case, SQU and WRS are both above the parallel line they are on and on the same side of the transversal; this makes them corresponding angles.  This also means it is the corresponding angles postulate.

3 0
3 years ago
Read 2 more answers
Monica spent 3/4 hours listening to tapes of Beethoven and Brahms. She spent 1/5 hours listening to Beethoven . How many hours w
ELEN [110]

Answer:

Monica spent 0.55 hours listening to Brahms.

Step-by-step explanation:

We are given the following in the question:

Amount of time spent  listening to tapes of Beethoven and Brahms =

=\dfrac{3}{4}

Amount of time spent  listening to Beethoven =

=\dfrac{1}{5}

Total time spent listening to Brahms =

Amount of time spent  listening to tapes of Beethoven and Brahms - Amount of time spent  listening to Beethoven

=\dfrac{3}{4}-\dfrac{1}{5}\\\\=\dfrac{15-4}{20}\\\\=\dfrac{11}{20}\text{ Hours}\\\\=0.55\text{ Hours}

Thus, Monica spent  \frac{11}{20}\text{ hours} listening to Brahms.

7 0
3 years ago
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The nine-digit number that identifies the bank that a check came from is called
Neko [114]

Answer: A

Step-by-step explanation:

7 0
3 years ago
Fencing encloses a rectangular backyard that measures 300 feet by 600 feet. A blueprint of the backyard is drawn on the coordina
liubo4ka [24]

Answer:

(x-15)^2+(y-30)^2=36

Step-by-step explanation:

we know that

The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet

The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units

therefore

If the radius of the circular flower garden in the actual is 60 feet

then

the radius of the circular flower garden in the blueprint is 6 units

Find the center of the radius in the blueprint

Remember that the circular flower garden is in the center o the backyard

so

To find out the center, determine the midpoint of the rectangular backyard

C((0+30)/2,(0+60)/2)

C(15,30)

The equation of a circle in center radius form is equal to

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

where

(h,k) is the center

r is the radius

we have

(h,k)=(15,30)\\r=6\ units

substitute

(x-15)^2+(y-30)^2=6^2

(x-15)^2+(y-30)^2=36

4 0
3 years ago
1. The measure of angle GHI is 120° Angle GHI is cut in half with ray HK, if angle
saveliy_v [14]

Answer:

The value of x = 4

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle x

Here the ray cuts the angle into half.

Since the total of the angle was 120, half of this would be 120/2 = 60

Now, it is this value of 60, that our new angle equals to

Mathematically;

3x + 48 = 60

3x = 60-48

3x = 12

x = 12/3

x = 4

5 0
3 years ago
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