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3 years ago

In the figure below, segment AC is congruent to segment AB:

Mathematics

2 answers:

sasho [114]3 years ago

8 0

the answer is A. segment AD bisects angle CAB. I just took the exam and I got it right. hope this helps!

Dimas [21]3 years ago

5 0

Answer: Isosceles triangle theorem

Step-by-step explanation:

In the given picture, there a triangle whose two sides are equal AB=AC.

Therefore it is an isosceles triangle.

Now, the isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Therefore by isosceles triangle theorem in ΔABC we have

$\angle{B}=\angle{C}$

Since $\angle{ACD}=\angle{C}$ [Reflexive]

$\angle{ABD}=\angle{B}$ [Reflexive]

Therefore, $\angle{ACD}=\angle{ABD}=$

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What’s the work and answer for this? Someone please tell me

Yuliya22 [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

URGENT, please!!

lakkis [162]

The equation of the parabola is:

$y = 24x^2$

---------------------------

The <em>equation </em>of a parabola of vertex (h,k) and focus (0,f) is given by:

$y = 4p(x - h)^2 + k^2$

Vertex at the origin means that $h = 0, k = 0$ .
Focus (0,6) means that $p = 6$

Thus, the equation of the parabola is:

$y = 4p(x - h)^2 + k^2$

$y = 4(6)(x - 0)^2 + 0^2$

$y = 24x^2$

A similar problem is given at brainly.com/question/15165354

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3 years ago

How do historians define the term "causation

Naily [24]

Your answer would be the relationship between two events in which one leads directly to the other occurring

5 0

3 years ago

Jan spent the day at the mall. She came home with $9.50. She spent $5.25 on earrings and 3 times that amount on a shirt. How muc

ki77a [65]

Answer:

She took $30.50 to the mall originally

Step-by-step explanation:

Let us solve the problem step by step

∵ She spent $5.25 on earrings

∵ The price of the shirt is 3 times the price of the earrings

∴ The price of the shirt = 3 × 5.25 = 15.75

∴ She spent $15.75 on the shirt

Find her total spending in the mall by adding the prices of earrings and the shirt

∴ She spent = 5.25 + 15.75 = 21

∴ She spent $21 on the mall

∵ She came home with $9.50

∵ She spent $21 on the mall

- Add them to find her original amount of money

∴ She took = 21 + 9.50 = 30.50

∴ She took $30.50 to the mall originally

5 0

3 years ago

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago