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1 year ago

Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?

Mathematics

1 answer:

Svetach [21]1 year ago

6 0

Answer:

128°

Step-by-step explanation:

<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

$m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ$

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Quick brainliest asap!! sin^-1 (1.1976) SHOW YOUR WORK so I can see if it makes sense!!

dsp73

Answer:

no solutions

Step-by-step explanation:

We want to find $\theta$ such that $\theta=\sin^{-1}(1.1976)$ .

We can take the sine of both sides of the equation to get $\sin(theta)=\sin(\sin^{-1}(1.1976))=1.1976$ .

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Therefore, the answer is $\boxed{no~solutions}$ and we're done!

7 0

2 years ago

Angle XYZ is bisected by line YW the measure of angle XYW is 52 what is the measurement of angle WYZ what is the measurement of

Aliun [14]

Answer:

Step-by-step explanation:

2(2x+7) = 6x-8

4x + 14 = 6x - 8

2x = 22

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m<XYZ = 58

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7 0

3 years ago

In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F

Sophie [7]

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC (∵Corresponding angles)

∠BED=∠BCA (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ $\frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}$

⇒ $\frac{BD}{BA}=\frac{DE}{AC}$

⇒ $\frac{11.9}{17}=\frac{DE}{20}$

⇒ $DE=\frac{20\times 11.9}{17}=14cm$

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2 years ago

Given four functions, which one will have the highest y-intercept?

beks73 [17]

<span>The y-intercept of a function is given by the initial value of a function. It is the value of the function when x = 0.

Given the functions

A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.

B.
x g(x)
0 6
1 2
2 10

The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.

C. The function h of x equals 4 to the x power, plus 3
When x = 0, $h(x)=4^0+3=1+3=4$
Thus the y-intecept is 4.

D. j(x) = 10(2)^x
when x = 0, $j(x)=10(2)^0=10(1)=10$
Thus, the y-intercept is 10.

Thereforen the function with the highest y-intercept is $j(x)=10(2)^x$ which has a y-intercept of 10.
</span>

6 0

2 years ago

The volume of a cuboid is 2160cm3. The length is 12cm and the width is 150mm. Work out the height of the cuboid in cm.

White raven [17]

Answer:

12 cm

Step-by-step explanation:

12x15 (150)

2160/180

= 12 cm

8 0

2 years ago