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2 years ago

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Which of the following is not a true statement about the angles shown below? A H 3x x + 15 Z D x + 15 A. The measure of ZAHD is

30°. B. The measure of ZHDZ is 45°. C. The measure of ZHZD is 45°. D. The value of x is 30.

1 answer:

Liula [17]2 years ago

4 0

Answer:

A is not true

Step-by-step explanation:

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

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So, slopes of given lines are:

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Using the condition:

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Putting the value of P in equation (1):

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So, answer is <em>(-3, -129)</em>

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3 years ago

The Morales family is remodeling their home. They want to remove the wall between the living room. and dining room to make one b

GuDViN [60]

Answer:

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Step-by-step explanation:

Area of rectangle= length × breadth

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One half is equal to 3/6.
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