What is the measure of X, in degrees?

Mathematics

2 answers:

amm18123 years ago

7 0

Answer:

Step-by-step explanation:

z = y Both are opposite equal sides

z = 70 From the first statement.

y = 70 Given

x = 180 - z - y A triangle has 180 degrees

x = 180 - 70 - 70

x = 40

Viefleur [7K]3 years ago

6 0

Answer:

A. 40°

Step-by-step explanation:

∠Z=∠Y (base ∠ of isosΔ)

= 60°

∠X=180-60-60(∠ sum of Δ)

=40°

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Alexxandr [17]

Answer:

108 degrees difference.

Step-by-step explanation:

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6 0

3 years ago

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A particle moves on the circle x2 y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=

stiks02 [169]

The movement of the particle on the circle is its displacement.

The value of dy/dt at this time is -9/2.

<h3>What is the differentiation?</h3>

Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.

A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.

The equation of the circle is given as:

$\rm x^2 + y^2=25$

Differentiate with respect to time

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0$

Substitute all the values in the equation

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\\\\2(3) \times 6+2(4)\times \dfrac{dy}{dt}=0\\\\ 6 \times 6+8 \times \dfrac{dy}{dt}=0\\\\ 36+8\times \dfrac{dy}{dt}=0\\\\ 8\times \dfrac{dy}{dt}=-36\\\\ \dfrac{dy}{dt}= \dfrac{-36}{8}\\\\ \dfrac{dy}{dt}= \dfrac{-9}{2}$