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Westkost [7]
3 years ago
14

Simplify the following expression 7-5/6 × 7-7/6

Mathematics
2 answers:
dezoksy [38]3 years ago
8 0
HdhdjaymatnafnFnafnanFnFnaf Gandhi
A
DNA
GREYUIT [131]3 years ago
4 0

\longrightarrow{\blue{  0 }} 

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}

7 - ( \frac{5}{6}  \times 7) -  \frac{7}{6}

= 7 -  \frac{35}{6}  -  \frac{7}{6}

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for the denominators.

The L. C. M is 6.

Now, multiply the L.C.M. with both numerator & denominator.

=  \frac{7 \times 6}{1 \times 6}  -  \frac{35}{6}  -  \frac{7}{6}

Now that the denominators are equal, we can add/subtract them.

=  \frac{42- 35 - 7}{6}

=  \frac{42 - 42}{6}

=  \frac{ 0}{6}

= 0

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}

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I need to find the value of x and the measure of the exterior angle
adell [148]

Given:

In a right angle triangle, the measure of exterior angle is (9x+16)^\circ.

The measure of opposite interior angle is (5x-14)^\circ.

To find:

The value of x.

Solution:

Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.

Using exterior angle theorem, we get

(9x+16)^\circ=90^\circ+(5x-14)^\circ

(9x+16)^\circ=(5x+76)^\circ

9x+16=5x+76

Isolate the variable x.

9x-5x=-16+76

4x=60

x=\dfrac{60}{4}

x=15

The value of x is 15. So, the measure of the exterior angle is:

(9x+16)^\circ=(9(15)+16)^\circ

(9x+16)^\circ=(135+16)^\circ

(9x+16)^\circ=151^\circ

Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.

7 0
3 years ago
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Marat540 [252]
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lozanna [386]
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the sides are 11, 13, and 25

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