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Step2247 [10]
3 years ago
13

Simple angle please help :)

Mathematics
2 answers:
Alex Ar [27]3 years ago
8 0

Angles on a straight line are 180. Therefore, 180 - 90 (right angle) = 90

Angles in a triange add to 180.

90 + 48 = 138

180 - 138 = 42

<h2>y = 42</h2>

—————— (not sure if you need this, but:)

To work out x, you would do:

Angles on a straight line add to 180.

180 - 48 = 132

132/2 = 66

<h2>x = 66</h2>

To work out z:

Angles in a triangle add to 180. You know x is 66, so

66 + 90 (right angle) = 156

180 - 156 = 24

<h2>z = 24</h2>
Alborosie3 years ago
4 0

y = 42°

Because the angle at the side of right angle will also be right angle or 90°

Sum of all angles of a triangle = 180°.

So, 48° + 90° + y = 180°

=> 138° + y = 180°

=> y = 180° - 138°

=> y = 42°

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Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
jonny [76]
First, we find the slope of the given line.

<span>3x − 4y = 7

-4y = -3x + 7

y = (3/4)x - 7/4

The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.

Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),

We use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)     <---- check option E. Is the fraction 3/4 not there?

y + 2 = (3/4)x + 3

y = (3/4)x + 1

4y = 3x + 4

3x - 4y = -4    <------ this is choice B.
</span>
8 0
3 years ago
Im so confused at part b) is not 0.98 and i dont know what is it
Angelina_Jolie [31]

Answer:

0.294

Step-by-step explanation:

The number of possible outcomes for 2 consecutive days is  2 (Friday, Saturday and Saturday,Sunday).

Prob( Friday, Saturday  has rain) = 0.70*0.70* 0.30) = 0.147 (No rain Sunday)

Prob( Saturday/Sunday  has rain) = 0.30*0.70*0.7) = 0.147  (No rain Friday)

Required Probability = 2*0.147

= 0.294.

8 0
4 years ago
If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)
Eva8 [605]

We can expand the logarithm of a product as a sum of logarithms:

\log_dabc=\log_da+\log_db+\log_dc

Then using the change of base formula, we can derive the relationship

\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}

This immediately tells us that

\log_dc=\dfrac1{\log_cd}=\dfrac12

Notice that none of a,b,c,d can be equal to 1. This is because

\log_1x=y\implies1^{\log_1x}=1^y\implies x=1

for any choice of y. This means we can safely do the following without worrying about division by 0.

\log_db=\dfrac{\ln b}{\ln d}=\dfrac{\frac{\ln b}{\ln c}}{\frac{\ln d}{\ln c}}=\dfrac{\log_cb}{\log_cd}=\dfrac1{\log_bc\log_cd}

so that

\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23

Similarly,

\log_da=\dfrac{\ln a}{\ln d}=\dfrac{\frac{\ln a}{\ln b}}{\frac{\ln d}{\ln b}}=\dfrac{\log_ba}{\log_bd}=\dfrac{\log_db}{\log_ab}

so that

\log_da=\dfrac{-\frac23}{\frac89}=-\dfrac34

So we end up with

\log_dabc=-\dfrac34-\dfrac23+\dfrac12=-\dfrac{11}{12}

###

Another way to do this:

\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}

\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}

\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12

Then

abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}

So we have

\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}

4 0
3 years ago
What is the solution of the question 2(x+2)^2-4=28
Arisa [49]
2((x+2)(x+2)}-4=28
2{x^2 + 4x + 4}-4=28
2x^2 +4x=28
2(x^2+2x)=28
x^2+2x=28/2
x^2+2x=14
5 0
3 years ago
A: x ≤ 6<br> B: x ≥ 8<br> C: x ≥ – 8<br> D: x ≤ – 8
ASHA 777 [7]

Answer:

I believe the answer you are looking for is C

Step-by-step explanation:


6 0
3 years ago
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