Hey can you please help me posted picture of question

Answer:

72

Step-by-step explanation:

(a+b)h / 2

(9+15)6 / 2

24 x 6 / 2

72

I hope im right!!

Answer:

Step-by-step explanation:

to the nearest whole number, we take a note of the number after the decimal point

any number higher than 5, 1 is added

but in these case, it is less than 5

835.2301≅835

Answer:

-0.34772

Step-by-step explanation:

One way of doing this problem is to change the base from 5 to 10.

Use the change of base formula:

                 log x

log     x = ------------

     5          log 5

so:

                       log (4/7)        log 4 - log 7

log     (4/7)  = --------------- = ---------------------

     5                   log 5               log 5

Note that "log x" above is the common logarithm of x and is to the base 10.

Continuing, we get:

0.60206 - 0.84510         -0.24304

---------------------------- = --------------------- = -0.34772       (This corresponds to

        0.69897                    0.69897                              the second given

                                                                                        answer choice.)

Answer:

b –0.3477

Step-by-step explanation:

The integers placed in the correct place in the Venn Diagram is attached

Placing the integers in the correct place in the Venn Diagram.

From the question, we have the following parameters that can be used in our computation:

Set = 1 to 15

From this set of 15 integers, we have the following subsets of numbers

Factors of 15: 1, 3 and 5

Odd Integers: 1, 3, 5, 7, 9, 11, 13 and 15

Multiples of 3: 3, 6, 9, 12 and 15

Also, we have the following intersection sets

Factors of 15 and Multiples of 3: 3

Factors of 15 and Odd Integers: 1, 3, 5

Multiples of 3 and Odd Integers: 3, 9, and 15

All: 3 and 15

None: 2, 4, 8, 10 and 14

The complete Venn diagram is attached

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Answer:

see image

Step-by-step explanation:

The map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.

What is triangle ?

A triangle is a closed two-dimensional figure with three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The three sides can be of different lengths, and the three angles can also be of different measures. Triangles are important geometric shapes and are used in many fields, such as mathematics, engineering, and architecture.

To determine which transformation maps triangle ABC to a similar but not congruent triangle, we need to understand the characteristics of similarity and congruence in triangles.

Two triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. Two triangles are similar if they have the same shape, but not necessarily the same size, and their corresponding angles are equal.

In the given answer choices, the transformation (x, y) -> (- y, - x) is a reflection over the line y = x, which means it reverses the position of x and y coordinates. This transformation does not preserve the angles of the triangle, and therefore does not result in a similar triangle.

The transformation (x, y) -> (-4x, -4y) is a dilation with a scale factor of 4, which means it increases the size of the triangle by a factor of 4. This transformation preserves the angles of the triangle, and therefore results in a similar triangle that is also congruent.

The transformation (x, y) -> (x + 2, - y - 2) is a translation that moves the triangle 2 units to the right and 2 units down. This transformation preserves the angles of the triangle, and therefore results in a similar triangle.

The transformation (x, y) -> (-y + 2, x + 2) is a rotation of 90 degrees counterclockwise around the point (2, -2). This transformation preserves the angles of the triangle, and therefore results in a similar triangle.

Therefore, the map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.

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