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malfutka [58]
3 years ago
12

The angle measurements in the diagram are represented by the following expressions.

Mathematics
1 answer:
Ivan3 years ago
8 0

Step-by-step explanation:

Angles A and B are Alternate Exterior angles, therefore they are congruent.

=> 8x + 6° = 4x + 38°

=> 4x = 32°, x = 8°

Hence Angle B = 4(8°) + 38° = 70°.

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The square of a number decreased by 15 is twice the number. find the number
jonny [76]

Answer:

x = 5, -3

Step-by-step explanation:

x² - 15 = 2x

x² - 2x - 15 = 0

(x - 5)(x + 3) = 0

6 0
3 years ago
What is the result of adding these two equations?
timofeeve [1]

Answer:

the result of adding these two equations is

3x = 14

Step-by-step explanation:

We are given two equations

5x − y  = 6          eq. 1

−2x + y = 8        eq. 2

Add the like terms together

5x - 2x = 3x

− y + y = 0

6 + 8 = 14

So the result of adding these equations is

3x + 0 = 14

3x = 14

Bonus:

The value of x is

3x = 14

x = 14/3

6 0
3 years ago
Pls help me .question no 14
Alex_Xolod [135]

Question 14, Part (i)

Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,

A+B+C+D = 360

A+90+C+90 = 360

A+C+180 = 360

A+C = 360-180

A+C = 180

Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.

==================================================

Question 14, Part (ii)

Let

x = measure of angle 1

y = measure of angle 2

z = measure of angle 3

Back in part (i) above, we showed that y + z = 180

Note that angles 1 and 2 are adjacent to form a straight line, so we can say

x+y = 180

-------

We have the two equations x+y = 180 and y+z = 180 to form this system of equations

\begin{cases}x+y = 180\\y+z = 180\end{cases}

Which is really the same as this system

\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.

4 0
3 years ago
PLEASE HELP THIS IS A TEST
cluponka [151]

Answer:

C, F, and maybe D are correct.

Step-by-step explanation:

8 0
2 years ago
A personality test is designed to determine what two things?
Vikentia [17]

Answer: Personality testing refers to techniques that are used to accurately and consistently measure personality.

Step-by-step explanation:  Personality is something that we informally assess and describe every day. When we talk about ourselves and others, we frequently refer to different characteristics of an individual's personality.

6 0
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