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3 years ago

GIVEN BRAINLIEST, 5 STARS, + THANKS

Mathematics

1 answer:

Ede4ka [16]3 years ago

8 0

Answer:

Option B. Side YZ is the same length as side Y'X'.

Step-by-step explanation:

XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.

So, X' is the image of point X

Y' is the image of point Y

Z' is the image of point Z

And ΔXYZ ≅ ΔX'YΔ'Z'

And the corresponding length are congruent

We will check the options:

A. X has the same measure as X'. ⇒ True

B. Side YZ is the same length as side Y'X'. ⇒ Wrong

Because YZ will be translated to Y'Z'

C. Z has the same measure as Z'. ⇒ True

D. Side XZ is the same length as side X'Z'. ⇒ True

So, The answer is option B. Side YZ is the same length as side Y'X'.

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What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ 2

Leni [432]

The answer is 10

8+(8)2÷4·2
8+16÷4·2 4·2=8 then 16÷8
8+2=10

just use PEMDAS

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3 years ago

Can someone help? This is so hard

Sunny_sXe [5.5K]

Answer:

#1 x = 31°

#2 x = 125°

Step by Step Explanation:

By the theorem of intersecting secants outside of the circle, we have:

$x=\frac{1}{2}(103\degree-41\degree)$

$\implies x=\frac{1}{2}(62\degree)$

$\implies \red{\bold{x=31\degree}}$

By the theorem of intersecting chords, we have:

$x=\frac{1}{2}(96\degree+154\degree)$

$\implies x=\frac{1}{2}(250\degree)$

$\implies \purple{\bold{x=125\degree}}$

4 0

2 years ago

Which choice is equal to the fraction below? 8/9 A. 0.888888.... B. 0.8 C. 0.888

77julia77 [94]

Answer:

8/9 becauseits a fraction

3 0

3 years ago

From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25

vredina [299]

Answer:

The total value the U.S. imported and exported is 19364 billion dollars

Step-by-step explanation:

* Lets explain how to solve the problem

- The yearly value of U.S. exports can be modeled by the function

E(x) = −228 x³ + 2,252.8 x² − 6,098.5 x + 11,425.8

# x is the number of years after 2008

# E(x) is the value of exports in billions of dollars

- The yearly value of U.S. imports can be modeled by the function

I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6

# x is the number of years after 2008

# I(x) is the value of imports in billions of dollars

* We need to calculate the total value the U.S. imported and

exported in 2012

∵ x is the number of years after 2008

∴ At 2012 x = 4 years

- Lets calculate the value of the exports in 2012

∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8

∴ E(x) = 8484.6 billion dollars

- Lets calculate the value of the imports in 2012

∴ I(x) = -400.4(4)³ + 3,954.4(4)² - 11,128.8(4) + 17,749.6

∴ I(x) = 10879.2 billion dollar

∵ The total value the U.S. imported and exported = E(x) + (I(x)

∴ The total value = 8484.6 + 10879.2 = 19363.8

∴ The total value = 19364 billion dollars

* The total value the U.S. imported and exported is 19364 billion dollars

7 0

3 years ago

There are values of t so that sin t=.35 and cos t=.6

NISA [10]

Recall the fundamental rule of trig:

$\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}$

So, there exists an angle $t$ such that

$(0.6,0.35)=(\sin(t),\cos(t))$

if and only if

$\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1$

Working out the numbers, we get

$0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1$

So, there doesn't exist a number $t$ such that

$(0.6,0.35)=(\sin(t),\cos(t))$

7 0

3 years ago