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TEA [102]
3 years ago
14

What are the values of x and y given that ABCD ≅ EFGH?

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

x = 7

y = 8

Step-by-step explanation:

Since the shapes are similar then <B = <F and <A = <E

<B = <F so

10x + 65 = 135 subtract 65 from both sides

10x = 70 divide both sides by 10

x = 7

<A = <E so

4y - 4 = 28 add 4 to both sides

4y = 32 divide both sides by 4

y = 8

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Find the area of the shaded region. Round to nearest hundredth.
coldgirl [10]

210/360 = 7/12, meaning the shaded area is 7/12 of the entire circle.

The circle has radius 12 in, so its total area is π (12 in)^2 = 144π in^2.

Then the area of the shaded region is 7/12 of this, or

7/12 * (144 π in^2) = 84π in^2 ≈ 263.89 in^2

5 0
3 years ago
What is the best approximation of the solution to the system to the nearest integer values
blondinia [14]

Answer:

A.(2,3)

Step-by-step explanation:

The solution to the system of two equations 5x+2y=16 and x+3y=12 is the ordered pair (x,y) which coordinates satisfy both equations.

Graphically, the solution to the system of two equations is the point of intersection of two lines which represent given equations.

The point of intersection of these graphed lines is closest to (2,3) (from the diagram), so correct option is A

4 0
3 years ago
A survey was taken of children between the ages of 10 and 17 about how many siblings they have and whether they have a pet. The
Karo-lina-s [1.5K]

Let's fill the table:

1. 34+18=52;

2. 97-57=40;

3. 34+57+x+6=125,

x=125-97,

x=28;

4. 28+15=43;

5. 6+2=8;

6. 18+40+15+2=75.

Then the table is:

\begin{array}{cccccc}    & \text{0 Siblings} & \text{1 Siblings} & \text{2 Siblings} & \text{3 or more Siblings} & \text{Total} \\   \text{Has a pet} & 34 & 57 & 28 & 6 & 125 \\   \text{Does not have a pet} & 18 & 40 & 15 & 2 & 75 \\   \text{Total} & 52 & 97 & 43 & 8 & 200  \end{array}

Let's see the options:

A. Out of the 125 children who do not have a pet, 18 of them have 2 siblings.

This option is false, because 125 children have a pet, not as in statement.

B. Out of the 97 children who have 1 pet, 40 of them do not have any siblings.

This option is false, because 97 children have 1 Sibling, not 1 pet.

C. Out of the 125 children who do not have any siblings, 34 of them have a pet.

This option is false, because 125 children have a pet, not do not have siblings.

D. Out of the 97 children who have 1 sibling, 40 of them do not have a pet.

This option is true, you can see from the table that among 97 children that have 1 Sibling, exactly 40 do not have a pet.

Answer: correct choice is D.

3 0
3 years ago
Read 2 more answers
The area of a circle is 42.29m2.<br> Find the length of the diameter rounded to 1 DP.
Firdavs [7]

Step-by-step explanation:

area of a circle=πr²

=42.29m²

42.29m²=πr²

then find for r, multiply it by two to obtain the diameter of the circle

6 0
3 years ago
The following quadrilateral is a parallelogram.
kvv77 [185]

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

8 0
3 years ago
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