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V125BC [204]
3 years ago
7

Which equation represents the relationship between the measures of Angle w and Angle z?

Mathematics
2 answers:
natali 33 [55]3 years ago
4 0

Measure of angle w + measure of angle z = 180 degrees

Because they are linear pair.

suter [353]3 years ago
4 0

Answer:

D

Step-by-step explanation:

You might be interested in
What does the measure of B Equal?
defon
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.

Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.

Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.

Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.

m<BAC + m<B + m<BCA = 180

32 + m<B + 41 = 180

m<B + 73 = 180

m<B = 107
8 0
4 years ago
What is the value of (u-t)(u^2-t^2)?​
Umnica [9.8K]

Answer:

20

Step-by-step explanation:

u-t = 2

u+t= 5

(u-t) (u²-t²)

(u-t) (u-t) (u+t) (a²-b²= (a+b) (a-b))

put the values

(2)(2)(5)

=20

5 0
3 years ago
If discount rate is 12%, the present value of Rs X recieved at the end of each year for the next five years is equal to
myrzilka [38]

Answer:

Present Value = X [\frac{1}{(1 + 0.12)^{1} }  + \frac{1}{(1 + 0.12)^{2} }  + \frac{1}{(1 + 0.12)^{3} }  + \frac{1}{(1 + 0.12)^{4} }  + \frac{1}{(1 + 0.12)^{5} } ]

Step-by-step explanation:

To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?

Solution -

We know that, formula for finding the Present vale is given by

Present value = Future value / (1 + r)ⁿ

where r is the rate of interest

and n is Number of periods

Now,

Here in the question, we have

r = 12% = 12/100 = 0.12

n = 5

Also, Given that, we have received Rs X at the end of each year

So,

Present Value = \frac{X}{(1 + 0.12)^{1} }  + \frac{X}{(1 + 0.12)^{2} }  + \frac{X}{(1 + 0.12)^{3} }  + \frac{X}{(1 + 0.12)^{4} }  + \frac{X}{(1 + 0.12)^{5} }

                        = X [\frac{1}{(1 + 0.12)^{1} }  + \frac{1}{(1 + 0.12)^{2} }  + \frac{1}{(1 + 0.12)^{3} }  + \frac{1}{(1 + 0.12)^{4} }  + \frac{1}{(1 + 0.12)^{5} } ]

⇒Present Value = X [\frac{1}{(1 + 0.12)^{1} }  + \frac{1}{(1 + 0.12)^{2} }  + \frac{1}{(1 + 0.12)^{3} }  + \frac{1}{(1 + 0.12)^{4} }  + \frac{1}{(1 + 0.12)^{5} } ]

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A line passes through the origin and the point (3,5). What is the slope of the line?
masha68 [24]
\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ 0}}\quad ,&{{ 0}})\quad &#10;%   (c,d)&#10;&({{ 3}}\quad ,&{{ 5}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{5-0}{3-0}
4 0
3 years ago
What Is the place value of 8 in 5678
Yakvenalex [24]
That would be the ones place, because 7 would be the tens place, 6 would be the hundreds place, and 5 would be the thousands place.
Hope this helped >.<
6 0
3 years ago
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