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lbvjy [14]
3 years ago
13

What is the value of x in the figure shown below?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

75 degrees.

Step-by-step explanation:

The total number of degrees in a triangle is 180 degrees therefore you can take the sum of the other 2 angles in the triangle and take that number and subtract it from 180.

1). 30+75=105

2).180-105=75

3). using the Side, Side, Side geometry rule, this means that both triangles are the same for all angles and side lengths

4). using the Alternative angle rule, the rule that say that a line that intersects 2 parallel lines forms 4 pairs of similar angles

5). therefore angle ABC is the same as angle BCD

6). Angle ABC was determined to be 75 degrees therefore angle BCD is also 75 degrees

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Fiesta28 [93]
A.) 135 miles in 3 hours = 45 miles per hr

B.) 22 miles in 1 hour= 22 miles per hr

C.) 7.5 miles in 1/4 hour = 30 miles per hr

D.) 100/3 in 2/3 hour = About 49.9 mph

E.) 97.5 in 1.5 hours = 65 miles per hr
4 0
3 years ago
How do I find the difference in the simplest form?
GrogVix [38]

Answer:

2

Step-by-step explanation:

\frac{8x}{4x - 7}  -  \frac{14}{4x - 7}  \\  \\  =  \frac{8x - 14}{4x - 7}  \\  \\  =  \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}}  \\  \\  = 2

5 0
2 years ago
What is the equation of a line parallel to y=7x-8 that passes through (5,-2)
Wewaii [24]

Answer:

y=7x+8

Step-by-step explanation:

Find the slope of the original line and use the slope-intercept form


7 0
4 years ago
How do I know when I need to use SSS or SAS in geometry? I'm having a lot of trouble understanding the difference and when to us
Pavel [41]
SSS = Side-Side-Side
If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent.


SAS  = Side-Angle-Side
If two sides and the included angle are equal to the corresponding parts of another triangle then the triangles are congruent.'
The angle must be formed by the two pairs of congruent, corresponding sides of the triangles. If the angles are not formed by the two sides that are congruent and corresponding to the other triangle's parts then you cannot use the SAS postulate.

you will notice that the main difference between the two postulates is that the SAS consists of an angle and the SSS does not.

hope this helps :)




7 0
3 years ago
Polynomials <br><br> Multiply (2x - 3)(7x – 4)
choli [55]

Answer:

(2x-3)(7x-4)

2x(7x-4)-3(7x-4)

14x²-8x+21+12

14x²-8x+33

7 0
2 years ago
Read 2 more answers
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