Answer:
<em>x = 110° ; y = 49°</em>
Step-by-step explanation:
m∠ABD = m∠ADB = 35° ⇒ <em>x</em> = 180° - 2 × 35° = <em>110°</em>
m∠CDB = m∠CBD = 2y ⇒ <em>y</em> = (180° - 82°) ÷ 2 = <em>49°</em>
For this case we must solve the expression given for the variable "m":

We add 5 to both sides of the inequality:

Multiplying by 2 to both of the inequality:

So, finally we have:

The solution is given by all values of m less than 4.
Answer:

Answer:
Answer C
Step-by-step explanation:
just took the quiz
Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
_____
Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
Using transformation rules, it is found that the correct option is:
No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).
--------------------
- The transformation rule for a reflection over the x-axis is

- The transformation rule for a rotation of 180º is

- After the reflection over the x-axis:

- Taking the reflection, and rotating:
. - Not the same rule, that is,
, so it would not map figure onto itself. - A(1,1) would be mapped to A(-1,1), for example, thus, the correct option is:
No, A'C'B' is located at A(-1,1), C'(-3,4) and B'(-5,1).
A similar problem is given at brainly.com/question/10547006