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Mathematics

1 answer:

yaroslaw [1]2 years ago

5 0

Answer:

x = 115°.

Step-by-step explanation:

All angles should make 180°.

So, we subtract: 180 - 40 - 25.

180 - 40 = 140
140 - 25 = 115.

x = 115°.

If it adds over or under 180°, then you subtracted the wrong numbers or subtracted in the wrong order.

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What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?

ololo11 [35]

Point slope form:
$y-y_1=m(x-x_1)$

m=slope
(x1,y1)

First we need to find the slope using the slope formula:
$\frac{y_2-y_1}{x_2-x_1} =slope$

Given the two coordinates:
(1, 9) and (−1, 11)

Plug them into the slope formula:
 $\frac{11-9=2}{-1-1=-2} =slope$
Simplify:
$\frac{2}{-2} =-1$

Now we know that:
m=-1 and the (x1,y1) would be (1, 9)

Now we simply plug in the info:
$y-9=-(x-1)$

Final answer: y − 9 = −(x − 1)

7 0

3 years ago

parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF

Doss [256]

Solution-

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)

2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)

3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)

If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.