Find the midpoint 80 90

∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are

son4ous [18]

Answer:

Answer for 2nd is option c, for 3rd is option d, for 4th is option e

Step-by-step explanation:

As we know 1 ft.=12 in.

In ΔABC

∴ The congruent sides are AB and AC respectively

CB =12 ft. 4 in.=148 in.
AB= $\frac{3}{4}$ CB =111 in. =9 ft. 3 in.
AC= $\frac{3}{4}$ CB =111 in. =9 ft. 3 in.

∵ Perimeter of ΔABC =AB+AC+CB

=9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.

=30 ft. 10 in.

2. In ΔDEF

∴ The congruent sides are DE and DF respectively

DE = 6 ft. 3 in. =75 in.
DF = 6 ft. 3 in. =75 in.
Let the length of FE is equal to x
0.75FE =DE =DF
0.75x = 6 ft. 3 in. =75 in.
x =100 in. =8 ft. 4 in.

∵ Perimeter of ΔDEF =DE+DF+FE

= 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.

= 20 ft. 10 in.

3. In ΔJKL

∴ The congruent sides are JL and KL respectively

JK = x+3
KL =4x-17
JL =6x-45
JL≅KL
4x-17 =6x-45 . . . . . . . . . . . . . . . . . . . . . . . (1)
Subracting 4x from both sides from eq 1
-17 =2x-45
Adding 45 on both the sides
28 =2x
Dividing by 2 on both sides
14 =x
JK = 14+3 =17
KL = 4×14-17 =39
JL = 6×14-45 =39

∵ The dimensions of the ΔJKL are 39,39 and 17.

6 0

4 years ago

If the replacement set is the set of integers, find the solution set for the inequality:

kakasveta [241]

It would be D as the correct answer

8 0

3 years ago

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Pablo grew a plant for school and recorded the growth of the plant

Olenka [21]

Answer:

Yes. the relation is a function

Step-by-step explanation:

Here, we want to check if the relation is a function

if a relation is a function, then every x-values (input values) will have one y-value

No two output values (y values) will have a single x value

Looking at the pairs;

It is a function

Although two x values have same y value; 2 and 3 to 8; no two y values have same x value

Hence, the ordered pairs is a function

6 0

3 years ago

Need help finding the end behavior !

Allushta [10]

Let's focus on f(x) = |x| for now.

Recall that the absolute value of any number is never negative.

Some examples: |-7| = 7 and |5| = 5

So as x gets bigger in the positive direction, so does y. That explains the notation $x \to \infty, \ f(x) \to \infty$ . Informally, we can say "the graph rises to the right".

Similarly, we have $x \to -\infty, \ f(x) \to \infty$ which means it "rises to the left". Both endpoints rise to positive infinity. The left side of the graph goes up forever because again the result of any absolute value function is never negative. So if we plug in say negative a million, then the result is positive a million. In a sense, the V shape absolute value function is almost like a parabola. Both have the exact same end behavior on both sides.

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Now let's move onto g(x) = 2x^2+4

The only thing that matters when determining the end behavior is the leading term. The leading term here is 2x^2

The even exponent means the endpoints either A) go up together or B) go down together. We go with case A because the leading coefficient is positive. Like I mentioned earlier, this parabola mimics the V shaped absolute value graph in terms of the end behaviors being the same.

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Lastly, let's focus on h(y) = 3y^4-2

I'm not sure why your teacher is using y when the others were using x. I'll just swap y for x to get h(x) = 3x^4-2

Like the g(x) function, the largest exponent is even, so the left and right end behaviors go in the same direction. The positive leading coefficient means we have the endpoints going upward toward positive infinity.

7 0

3 years ago

Which equation has the same soultions as X^2+6x-7=0

NeTakaya

$\\\\\huge\text{The answer is in the attachment !!!}$

5 0

3 years ago

Read 2 more answers