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3 years ago

Calculate x,y and z fully and give reasons.

Mathematics

1 answer:

katen-ka-za [31]3 years ago

5 0

Answer:

X=67°,Z=113°,Y=0°

Step-by-step explanation:

2.1=

X+113°=180°(being straight angle)

Or, X=180°-113°

Or,X=67° answer

Now,

Z=113°(being alternative angle)

Again,Y+Z+X=180°(being co-interior angle)

Or, Y+113°+67°=180°

Or,Y+180°=180°

Or,Y=180°-180°

=Y=0° answer

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denpristay [2]

Answer:54 degrees

Step-by-step explanation:

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2 years ago

It is 76°f at the 6000-foot level of a mountain, and 49°f at the 12,000-foot level of the mountain. write a linear equation to f

valina [46]

Answer:

$t(x) = 103 -0.0045x$

Step-by-step explanation:

We are given the following in the question:

Let the equation:

$t(x) = a + bx$

be the linear equation that represent temperature at an elevation x.

Temperature at 6000-foot level = 76 f

$76 = a + 6000b$

Temperature at 12000-foot level = 49 f

$49 = a + 12000b$

Solving the two equation, we get,

$76-49 = -6000b\\27=-6000b\\\\b = \dfrac{-27}{6000}\\\\b = -0.0045\\76 = a + (-0.0045)6000\\76 = a -27\\a = 76 + 27\\a =103$

Thus, we can write the linear equation as:

$t(x) = 103 -0.0045x$

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2 years ago

Qwertyuiopasdfghjklzxcvbnm y=2x+3 in point slope form? please and thank you

Nadusha1986 [10]

Answer: y-5=2(x-1)

Step-by-step explanation:

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3 years ago

In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠PRQ ≅ ___ A. ∠SRT B. ∠RST C. ∠STR D. ∠T

Oduvanchick [21]

The complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

<h3>Similar triangles </h3>

From the question, we are to complete the given statement

From the given information,

We have that ΔPQR ≅ ΔSTR

This means ΔPQR is congruent to ΔSTR

Then,

∠PQR ≅ ∠STR

∠PRQ ≅ ∠SRT

∠QPR ≅ ∠TSR

Hence, the complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

Learn more on Congruent Triangles here: brainly.com/question/28032367

#SPJ1

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1 year ago

What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (-3, -3)

kipiarov [429]

A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4

The final equation is y= -4/3x + 21/4
The y intercept is (21/4).

6 0

3 years ago