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3 years ago

I NEED ANSWER FOR 10 QUICK

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

A) Because A and E are perpendicular therefore making B 90 degrees. D same for DBC

B) Same as A. for A

C) because they are perpendicular to eachother

D) Because they are the same angle they are equal to eachother

E) We assume that they are both 45 degrees thus making them equal to eachother

Step-by-step explanation:

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Find the coordinates of point P that partition AB in the

Ira Lisetskai [31]

Answer:

(1.6, 0)

Step-by-step explanation:

Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.

Use the formuka below to find the coordinates of point P:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$A(1, -1) = (x_1, y_1)$

$B(4, 4) = (x_2, y_2)$

$m = 1, n = 4$

Solve by plugging the above values where necessary as follows:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{1(4) + 4(1)}{1 + 4}$

$x = \frac{4 + 4}{5}$

$x = \frac{8}{5}$

$x = 1.6$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{1(4) + 4(-1)}{1 + 4}$

$y = \frac{4 - 4}{5}$

$y = \frac{0}{5}$

$y = 0$

The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)

6 0

3 years ago

The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many more girls than boys are there?

lisov135 [29]

Answer:

Step-by-step explanation:

sum the parts of the ratio, 3 + 4 = 7 parts

Divide the number of students by 7 to find the value of one part of the ratio

35 ÷ 7 = 5 ← value of 1 part of the ratio, then

3 parts 3 × 5 = 15 ← number of boys

4 parts = 4 × 5 = 20 ← number of girls

20 - 15 = 5

There are 5 more girls than boys

4 0

3 years ago

.y = 2x - 3; x = - 4<br>how do you do this?<br>

Svetach [21]

y = 2(-4) - 3

y = -8 - 3

y = -11

8 0

4 years ago

Solve for a and b in the following circles:<br> A)

rjkz [21]

Given:

A quadrilateral inscribed in a circle.

To find:

The values of a and b.

Solution:

A quadrilateral inscribed in a circle. So, the quadrilateral is a cyclic quadrilateral.

We know that the sum of the opposite angles of a cyclic quadrilateral is 180 degrees.

$a+79^\circ=180^\circ$

$a=180^\circ-79^\circ$

$a=101^\circ$

We know that the measure of arc is twice of measure of subtended angle on that arc.

$(110^\circ+b)=2(96^\circ)$

$110^\circ+b=192^\circ$

$b=192^\circ-110^\circ$

$b=82^\circ$

Therefore, the value of a is 101 degrees and the value of b is 82 degrees.

7 0

3 years ago

Choose the correct description of the graph of the compound inequality: (5 points)

skad [1K]

Answer:

Step-by-step explanation:

Firstly,

≤ or ≥ means closed circle, and

< or > means open circle

Now, let's solve the compound inequality:

x - 1 ≤ 7

x ≤ 8

and

2x ≥ 22

x ≥ 11

This solution means "everything left of 8 (inclusive and closed circle)" and "everything right of 11 (inclusive and closed circle)"

Looking at the choices, D is right.

4 0

4 years ago