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trapecia [35]
3 years ago
15

**PLEASE HELP*** In the figure, what is the value of x? (I wanna say 90° but I am not sure!!)

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

Yes, it is 90 degrees

Step-by-step explanation:

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Write a two-column proof. Given: line BD bisects angle CBE. Prove: angle ABD approximately equal to angle FBD.
ale4655 [162]

Answer:

The proof is derived from the summarily following equations;

∠FBE + ∠EBD = ∠CBA + ∠CBD

∠FBE + ∠EBD = ∠FBD

∠CBA + ∠CBD = ∠ABD

Therefore;

∠ABD ≅ ∠FBD

Step-by-step explanation:

The two column proof is given as follows;

Statement {}                                       Reason          

\underset{BD}{\rightarrow} bisects ∠CBE {}                            Given

Therefore;

∠EBD ≅ ∠CBD  {}                              Definition of angle bisector

∠FBE ≅ ∠CBA {}                                Vertically opposite angles are congruent

Therefore, we have;

∠FBE + ∠EBD = ∠CBA + ∠CBD {}     Transitive property

∠FBE + ∠EBD = ∠FBD {}                    Angle addition postulate

∠CBA + ∠CBD = ∠ABD {}                   Angle addition postulate

Therefore;

∠ABD ≅ ∠FBD        {}                          Transitive property.

3 0
3 years ago
Of the following numbers: 36, 56, 78, 98, 100, 1,000, 5,000, 10,000, 100,000, 500,000; what is the range.
Lubov Fominskaja [6]

Answer:

the is x 10

Step-by-step explanation:

6 0
3 years ago
The pH of a substance added to a citrate buffer, y, depending on the ratio of citric acid to sodium citrate, x, can be modeled u
Charra [1.4K]

Answer:

Yes it's A. 0.79

Step-by-step explanation:

You plug in 6.5 into the y-value since it asks to find the ratio,x, if the pHis 6.5. Then you can solve using a calculator to get 0.79432, or 0.79

5 0
3 years ago
Read 2 more answers
What is the absolute value of -200?
rodikova [14]
Answer: 200

The absolute value of any number is how many spaces away it is from 0 on the number line
5 0
3 years ago
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Find the average rate of change for fx) = x2 – 3x – 10 from x = 4 to x = 6.
Leviafan [203]

Answer:

7

Step-by-step explanation:

The rate of change is defined as

f(x2) - f(x1)

--------------------

x2-x1

x2 = 6

f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8

x1 = 4

f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6

Substitute the values into the expression

8 -  -6

--------------------

6-4

8+6

------------

2

14/2= 7

6 0
3 years ago
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