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2 years ago

A А С B. ZABC is bisected by BD. If m DBC = 65°, then m ZABC = [?]° Enter

Mathematics

1 answer:

andrew11 [14]2 years ago

4 0

Answer:

m∠ABC = 130°

Step-by-step explanation:

BD is the angle bisector of angle ABC .

Therefore, ∠ABD ≅ ∠DBC

Measure of angle DBC = 65°

Therefore, m∠ABD = m∠DBC = 65°

m∠ABC = m∠ABD + m∠DBC

= 65° + 65°

= 130°

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It takes 15 electricians 24 days to wire a new housing subdivision. how many days would 18 electricians require to do the same j

Romashka [77]

15 electricians worked for 24 days to the whole job, now, there are 15 of them, so on any given day, each electrician worked one whole day, in 24 days, that one electrician worked 24 days total.

now, there were 15 electricians on any given day though, since each one of them worked the whole day that one day, so the "days work worth" on a day is 15, so the house gets 15days worth of work because of that.

so how many "days worth" did all 15 do on the 24 days, well, 15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15, namely 15 * 24, or 360 days worth of work.

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3 years ago

Read 2 more answers

Graph the following function and identify any shifts, stretches, and symmetry and x and y intercepts:

klasskru [66]

Shifts:

Shifted three units right and two units up to match the blue parabola

Stretches:

It doesn't have any stretches

Symmetry:

$x=3$

x and y intercepts:

x intercpets: It has no x-intercepts

y-intercepts: (0, 11)

<h2>Explanation:</h2>

The pattern of the quadratic function is:

$f(x)=x^2$

Whose graph is shown below as the red parabola.

So here we need to identify some characteristics of:

$y = f(x) = (x - 3)^2 + 2$

Whose graph is shown below as the blue parabola.

As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:

The red parabola has been shifted three units right and two units up to match the blue parabola.

This is so because, for any function:

$y=f(x)$

We have the following transformations:

$y=h(x)=f(x+c)+k \\ \\ \\ \bullet \ c>0 \ Shift \ f(x) \ c \ units \ to \ the \ left \\ \\ \bullet \ c0 \ Shift \ f(x) \ k \ units \ up \\ \\ \bullet \ k$

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is $x=3$ . The y-intercept is (0, 11) is indicated in the figure.

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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3 years ago

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