I’ve been stuck in this i’ve been thinking it’s 104 but it says it’s not

Mathematics

2 answers:

Luda [366]3 years ago

5 0

Answer:

AD is a diameter, then AFD = 180 deg

BFC = 180 - BFA - CFD = 180 - 57 -76 = 47 deg

BAC = (1/2)BFC = (1/2) x 47 =23.5 deg

Hope this helps!

Ghella [55]3 years ago

5 0

Answer:

313°

Step-by-step explanation:

We want to find the measure of the major arc BAC, which we notice is actually made up of multiple arcs: AED, BA, and CD. So we can write this as:

arc BAC = arc BA + arc AED + arc CD

We already know that arc CD = 76 degrees. We also know that the angle AFB is 57 degrees. Notice that AFB is a central angle, so by definition of central angles and their corresponding arcs, angle AFB is equal to the measure of arc BA. So, arc BA = 57 degrees.

Finally, look at arc AED. This is a semicircle, so by definition, it is 180 degrees. Now plug all these values into the equation:

arc BAC = arc BA + arc AED + arc CD

arc BAC = 57 + 180 + 76 = 313

The answer is 313°.

You might be interested in

The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Darina [25.2K]

Answer:

a) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 0$ are $x_{1}\approx -0.25$ and $x_{2} \approx 1.25$ .

b) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 2$ are $x_{1}\approx -0.5$ and $x_{2} \approx 1.5$

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial $y = 4\cdot x^{2}-4\cdot x -1$ , where $x$ is related to the horizontal axis of the Cartesian plane, whereas $y$ is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case: