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Scorpion4ik [409]
2 years ago
5

(1) If DF = FB, then point F is called the _____ and segments DF and FB are _____.

Mathematics
1 answer:
Vesnalui [34]2 years ago
8 0

Answer:

(1) C

(2) C

(3) 4

(4) False

Step-by-step explanation:

(1) If DF = FB, then point F is called the midpoint and segments DF and FB are congruent.

(2) If ray FA bisects angle EFB, then angles EFA and AFB are congruent.  If measure of angle EFA = 47 degrees, the measure of angle EFB = 47 degrees.

(3) If  DF = x+2,  FB = 2x+1 and DB = 15, then

DF + FB = DB

x+2+2x+1=15

3x+3=15

3x=15-3

3x=12

x=4

(4) If x=4, then

DF=4+2=6

FB=2·4+1=9

Since DF is not congruent to FB, F is not a midpoint. False

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Given the following functions f(x) and g(x), solve f[g(10)]. F(x) = 10x 8 g(x) = x 9 2,052 98 190 198.
gladu [14]

For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.

put g(x) in place of x in the function f(x). Then we have

f [g(x)] = 10(x + 9) + 8

f [g(x)] = 10x + 90 + 8

f [g(x)] = 10x + 98

Put x = 10, then we have

f [g(10)] = 10(10) + 98

f [g(10)] = 100 + 98

f [g(10)] = 198

Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

More about the function link is given below.

brainly.com/question/5245372

6 0
2 years ago
The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201
Sonja [21]

Step-by-step explanation:

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3 0
3 years ago
Which of the follow triangles is similar to APOR?
Paul [167]

Answer:

D

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A:  12/15 simplifies to 4/5, wrong answer

Answer B:  9/12 simplifies to 3/4, wrong answer

Answer C:  6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

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2 years ago
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9966 [12]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
galben [10]

Answer:

second equation

Step-by-step explanation:

10a + 12p = 70  (10 goes with almonds [a], 12 goes with pistachios[p], $10 and $12 is price per pound and $70 is total price, so that's why its = to 70)

a + p = 6.3        (this is total almonds and pistachios adding up to 6.3 pounds)

a = pounds of almonds

p = pounds of pistachios

3 0
2 years ago
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