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3 years ago

P - g - 8, when p = 5 and g = 10

Mathematics

2 answers:

Andrei [34K]3 years ago

8 0

P - g - 8
Given:
p = 5
g = 10

Substitute the given

(5) - (10) - 8
-13

hram777 [196]3 years ago

5 0

Plug everything in
5-10-8=-13

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Can someone help me with this!

Stolb23 [73]

Answer:

2. x = 18

3. x = 7

4. missing angles are 73°

Step-by-step explanation:

The simple rules involved here are ...

the sum of angles of a triangle is 180°
angles forming a linear pair are supplementary (total 180°).

Together, these tell you that the external angle of a triangle has the same measure as the sum of the opposite internal angles. (The third angle is the supplement of the external angle.)

Problem 1

Work shown is correct.

Problem 2

Using the above observation, ...

(5x -11)° + (2x +20°) = (11x -63)°

7x +9 = 11x -63 . . . . . collect terms, divide by °

72 = 4x . . . . . . . . . . . add 63-7x

18 = x

Problem 3

The angles of an equilateral triangle are 60°, so that is the measure of the marked angle.

9x -3 = 60

9x = 63 . . . . . . add 3

x = 7 . . . . . . . . .divide by 9

Problem 4

You don't need to find the value of x to answer this question. The base angle of an isosceles triangle is the complement of half the apex angle. This comes from the fact that the two base angles are equal measure.

(apex angle) + 2(base angle) = 180° . . . . sum of angles in isosceles triangle

(1/2)(apex angle) +(base angle) = 90° . . . divide by 2

base angle = 90° -(1/2)(apex angle) . . . . .solve for base angle

Filling in the given apex angle value, we get ...

base angle = 90° -(1/2)(34°) = 73°

Both missing angles are 73°.

7 0

3 years ago

Idk anyone want 100 points?

Novay_Z [31]

Yes sir thank u
Heheheh

6 0

2 years ago

Read 2 more answers

Suzanne ran 334 miles in the morning and 412 miles in the afternoon. How many kilometers did she run altogether? Assume 1 mile

morpeh [17]

1193.6 because 334+412=746 and 746*1.6=1193.6

8 0

2 years ago

What is the overlap of Data Set 1 and Data Set 2?

erastovalidia [21]

Answer: Answer:

There is moderate level of overlap between the two data sets.

Step-by-step explanation:

Overlap of data sets.

Overlap measures the degree of duplication that exists within data sets.

It is an indicator of the degree to which data are identical.

We are given two data sets in the question.

We have to find the amount of overlap in data set 1 and in data set 2.

There are 8 data points in data set 1 as shown in the image.

There are 8 data points in the data set 2 as shown in the image.

Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.

Thus, we could say there is moderate level of overlap between the two data sets.

3 0

2 years ago

Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

ANSWER:

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

SOLUTION:

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$

Hence the x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

8 0

2 years ago