Answer:
x < 1
Step-by-step explanation:
an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then
x < 1 (thats a less then sign only) ....no equal sign in there
Answer:
(the statement does not appear to be true)
Step-by-step explanation:
I don't think the statement is true, but you CAN compute the intercepted arc from the angle.
Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.
Therefore, adding the angles together, we have:
alpha + 90 + 90 + <FDG = 360
Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)
Answer:
a. vertical
b. corresponding
c. same-side interior angles
d. alternate exterior
e.alternate interior
f. same-side exterior
g. vertical angles
h. corresponding angles
Step-by-step explanation:
Definitions: Alternate interior angles: two nonadjacent interior angles on opposite sides of the transversal.
Same-side interior angles: two interior angles on the same side of the transversal.
Corresponding angles: two angles in corresponding positions relative to the two lines
a. Angle 1 and Angle 4: These angles are vertical angles.
b. Angle 2 & Angle 6: These angles are corresponding angles.
c. Angle 3 and Angle 5: Same-side interior angles
d. Angle 1 & Angle 8: Alternate exterior
e. Angle 4 and Angle 5: Alternate interior angles
f. <2 & <8
Same-side exterior angles
g. <6 & <7 vertical angles
h. <3 & <7
Corresponding angles
Solving a linear equation, we conclude that she made 5 batches of cookies.
<h3>
How many batches of cookies has she made?</h3>
We know that Alexis bought a bag that contains 8 cups of m&m's. First, she uses two-thirds of a cup to make each batch, so for x batches, she needs:
B(x) = (3/5)*x
That linear equation tells us how many cups are used to make x batches.
We know that at the end, she has 5 cups, and she started with 8 cups, so she used:
8 cups -5 cups = 3 cups.
Now we need to solve the linear equation:
B(x) = 3 = (3/5)*x
Solving the linear equation for x we get:
3 = (3/5)*x
3*(5/3) = x
5 = x
This means that she made 5 batches of cookies.
If you want to learn more about linear equations:
brainly.com/question/1884491
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