Which value of x is f(x)=3? <br> A , B, C or D

Ssignment

AnnZ [28]

Part a: The value of x is 33°

Part b: The measure of each base angle is 69°

Explanation:

It is given that the vertex angle of an isosceles triangle measures 42°.

The base angle in the triangle has a measure of $(2x+3)^{\circ}$

Part a: To determine the value of x

Since, in an isosceles triangle the base angles are always equal.

Thus, the three angles in an isosceles triangle add up to 180°

Hence, we have,

$42+2x+3+2x+3=180$

$42+4x+6=180$

$4x+48=180$

$4x=132$

$x=33^{\circ}$

Thus, the value of x is 33°

Part b: To find the measure of each base angle.

Base angle = $(2 x+3)^{\circ}$

Substituting $x=33^{\circ}$ , we get,

$Base \ angle = (2(33)+3)^{\circ}$

$=(66+3)^{\circ}$

$=69^{\circ}$

Thus, the measure of each base angle is 69°

6 0

4 years ago

10 POINTS Solve for x.<br> 6x + 1 = 4x + 7<br><br> x = 6<br> x = 2<br> x = 3

mafiozo [28]

Answer:

x = 3

Step-by-step explanation:

7 0

3 years ago

Does anybody know the questions for the 05.04 Exponential and Logarithmic Functions Discussion-Based Assessment (FLVS)? Thank yo

Sloan [31]

The functions are illustrations of function transformations

The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up

<h3>How to determine the transformations</h3>

The equation of the function is given as:

$g(x) = 2 - x$

The parent function of the above equation is:

$f(x) = x$

First, the function f(x) is reflected across the y-axis to give

$f(-x) = -x$

Next, the function is shifted 2 units up.

So, we have:

$f(-x) + 2 = -x + 2$

Rewrite as:

$f(-x) + 2 = 2-x$

Express f(-x) + 2 as g(x).

So, we have:

$g(x) = 2-x$

Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up

Read more about function transformation at:

brainly.com/question/1548871

8 0

3 years ago

25 points, please help!!!!!!!!!

Olenka [21]

D, “it is one-half the area of a rectangle of length 2 units and width 4 units.”
HOPE THIS HELPS!!!

5 0

3 years ago

Read 2 more answers

The Smiths spend 6% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year

Troyanec [42]

Answer: Their total budget last year was $40,000.

Step-by-step explanation:

Given : The Smiths spend 6% of their budget on entertainment.

i.e. , The money they spend on entertainment = 0.06 x ( Total budget)

{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)

Since , this year they plan to spend $2,580 on entertainment.

i.e. 0.06 x ( Total budget ) = $2,580

On dividing both sides by 0.06 , we get

( Total budget ) = $2,580 ÷ 0.06

= $43,000

Thus , their total budget for this year = $43,000

Also, Their total budget this year is $3,000 more than last year.

Therefore , their last year total budget = ( Total budget this year ) - $3000

= $43,000 - $3000

= $40,000

Hence, their total budget last year was $40,000.

5 0

4 years ago

Which value of x is f(x)=3? A , B, C or D