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3 years ago

2-3. The triangles below are drawn to scale and congruent sides and angles are indicated with tick marks.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

6 0

Answer: The triangles are congruent by SAS(side-angle-side)

Step-by-step explanation:

The triangles are congruent because 2 corresponding sides and one corresponding angle are given as congruent in an order respectable as a congruency statement(the SAS part).

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What is 289% written as a decimal?

Arlecino [84]

2.89
This is 289% as a decimal.
100%s are 1s, so
200% = 2

5 0

3 years ago

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If you multiply the slopes of two perpendicular lines, the product is -1.

ki77a [65]

$$-\frac{1}{2}\cdot2=-1$

Slope of the line h is 2.

The equation for line h is y = 2x + 4.

Solution:

General equation of a line is y = mx + c,

where m is the slope of the line and c is the y-intercept.

In the given image, line g and line h are intersecting lines and perpendicular to each other.

Equation of line g is $y=-\frac{1}{2} x+2$ .

Slope of the line g ( $m_1$ ) = $-\frac{1}{2}$

If two lines are perpendicular, then the product of the slopes is –1.

⇒ $m_1 \cdot m_2=-1$

<u>To find the slope of the line h:</u>

$$\Rightarrow-\frac{1}{2} \cdot m_2=-1$

$$\Rightarrow m_2=-1 \times(-2)$

$$\Rightarrow m_2=2$

Slope of the line h is 2.

<u>To find the equation of a line h:</u>

Line h passing through the point (0, 4) and slope 2.

Point-slope formula:

$\left(y-y_{1}\right)=m\left(x-x_{1}\right)$

$\left(y-4)=2\left(x-0\right)$

$y-4=2x$

$y=2x+4$

The equation for line h is y = 2x + 4.

5 0

3 years ago

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

pogonyaev

Step-by-step explanation:

diameter, d = 6ft

depth, h = 4.5ft

pi = 3.14

volume, v = pi × d^2/4 × h

=> v = 3.14 × 6^2/4 × 4.5

v =127.17 cu ft (D)

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3 years ago

In a school of 1250 students, 250 are freshmen and 150 students take Spanish. The probability that a student takes Spanish given

PtichkaEL [24]

20% hope I helped :)

6 0

4 years ago

Read 2 more answers

ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it.

Mekhanik [1.2K]

Answer:

C. (2x + 16) + (x) = 180°

Step-by-step explanation:

See attachment for the cyclic quadrilateral

One theorem of cyclic quadrilateral states that; opposite angles = 180°

In the attachment, the angle opposite B is D

Where B = x

D = 2x + 16

From the theorem stated above;

B + D = 180°

Substitute the values of B and D in the formula above

x + 2x + 16 = 180

From the list of given options, the correct answer is C

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4 years ago