Create the equation to the parallel or perpendicular lines. Describe the transformation(s).:

PLEASSS HELP!!!!!!! I REALLY NEED HELP!!

loris [4]

Answer:

$\underline{ \boxed{x = 11} } \\ \underline{ \boxed{ABE = 55}}$

Step-by-step explanation:

$if \: the \: question \: is \to \\ \overline{AZ} \: \perp \: \overline{CD}, \: m \angle{ABE} = 5x, \\ and \\ \: m \angle{EBD } = 3x + 2\\ but \: m \angle{EBD } + m \angle{ABE} = 90 \\ hence \to \\ (3x + 2) + (5x) = 90 \\ 8x + 2 = 90 \\ 8x = 90 - 2 \\ 8x = 88 \\ x = \frac{88}{8} \\ \boxed{ x = 11} \\ \\ if \: x = 11, \: then \to \\ m \angle{ABE} = \: 5x = 5(11) \\ \boxed{m\angle{ABE} =55}$

6 0

3 years ago

Please need help in these 3 algebra questions !!!!

Marysya12 [62]

Answer:

$\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}$

Step-by-step explanation:

$7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1$

$8.\\(-3t^2u^3)(5t^7u^8)=(-3\cdot5)(t^2t^7)(u^3u^8)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=-15t^{2+7}u^{3+8}=-15t^9u^{11}$

$11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3$

4 0

3 years ago

If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the t

Novosadov [1.4K]

Answer:

The correct answer is;

No, the quadrilateral is not always a parallelogram

Step-by-step explanation:

Since there are only four opposite angles in a quadrilateral there are only two possible angle bisectors of the opposite angles also, the angle bisectors of a pair of opposite angles of a quadrilateral will intersect within the quadrilateral and therefore they cannot form the sides of a parallelogram

Therefore, the answer is no, the quadrilateral is not always a parallelogram.

8 0

2 years ago

santosh is four more than three times the age of his cousin. if santosh is 49 years old, then what is the age of his cousin?

andrezito [222]

Santosh's cousin is 15 years old because 49-4=45. Divide 45 by 3 and the quotient is 15. To check: 15 times 3= 45. Add 4 and the sum is 49.

8 0

3 years ago

figure a is a scale image of figure b the scale image that maps figure a onto figure b is 1:7 1/4 enter the value of x

skad [1K]

Answer: $x=21.75$