If PQR ≈ STU complete each part

*see attachment for the complete diagram and what is required.

Answer:

✅ST = 7 m

✅SU = 8 m

✅m<R = 46°

✅m<Q = 75°

✅m<S = 59°

Step-by-step explanation:

Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.

Thus:

<P ≅ <S, therefore, m<P = m<S = 59°

<Q ≅ <T, therefore, m<Q = m<T = 75°

<R ≅ <U, therefore, m<R = m<U.

PQ ≅ ST, therefore, PQ = ST

QR ≅ TU, therefore, QR = TU

PR ≅ SU, therefore, PR = SU

Let's find the measure of the following with the information we already know:

✅ST = PQ = 7 m

✅SU = PR = 8 m

✅m<R = 180 - (m<P + m<Q) (sum of ∆)

m<R = 180 - (59°+ 75°) (substitution)

m<R = 180 - 134

m<R = 46°

✅m<Q = m<T = 75°

✅m<S = m<P = 59°

The length of the segment ST is 7m, the length of the segment SU is 8m, angle R is 46 degrees, angle Q is 75 degrees, and angle S is 59 degrees.

Given :

The following steps can be used in order to complete each part:

Step 1 - Angle P is similar to angle P therefore, angle S is 59 degrees.

Step 2 - Angle Q is similar to angle T therefore, angle Q is 75 degrees.

Step 3 - Angle R is similar to angle U therefore, angle R and angle U are equal.

Step 4 - Segment PQ is similar to segment ST, therefore the length of segment PQ is equal to the length of segment ST.

Step 5 - Segment QR is similar to segment TU, therefore the length of segment QR is equal to the length of segment TU.

Step 6 - Segment PR is similar to segment SU, therefore the length of segment PR is equal to the length of segment SU.

Step 7 - Apply the sum of interior angle property on the triangle PQR.

[tex]\rm \angle R + 59 + 75 = 180[/tex]

[tex]\rm \angle R = \angle U = 46^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/10652623

3
The linear function is represented by the equation y=-3x - 2. What can be determined of this equation written in
slope-intercept form? Check all that apply.
3
The y-intercept is - 5
-
The y-intercept is 2.
The y-intercept is -2.
3
The slope is 3
The slope is 2.
The slope is -2.

need help on this geometry question ​

which statement is always true about a right triangle

1.f(x)=0,5x+3 represents a function, Evaluate the function if f(12), *
A. 9
B. 3.04
C. 18
D. 15.5

What is 1+1? Plz help I’m bad at math

Can someone please help me on this ty!!

Evaluate 3x2-xy + 3y2 when x=2 and y=-2

I need help with my homework please, I don’t understand

which of the following is the same as cos15°

Solve for X and Y please

−0.85 – (−1.9) +– 2.06
Group of answer choices

-1.01

1.01

3.96

-3.96

A solid object is dropped into a pond with a temperature of 20 degrees Celsius. The function f(t) = Ce(-kt) + 20 represents the situation where t is time in minuetes, C is a constant and k = 0.0399. After 4 minutes the object has a temperature of 35 degrees Celsius. What was the initial temperature of the object

Nikki just graduated from high school and would like to buy a car. If she received $3000 in graduation gifts from family friends. She will put this money into a 18 month certificate of deposit until she finds the car of her dreams. The CD earned 10% annually and simple interest. How much will she put towards the down payment and 18 months 1.5 years?

what is slope intercept form?​

Please help me because I only have until 10:07 and I have another page to do !

The scale on a map is 2 cm = 25 miles . Dave measured the distance to the next town at 5cm. How many miles away is the next town?

write the linear equation from the given information in slope intercept form passing through (-2,8) and perpendicular to y=2x+5​

what is the solution to the system of equations
2x-y=7
y=2x+3

a. (2,3)
b.(2,7)
c. no solution
d. infinite number of solutions​

Im so depressed do Not jit me up Rn Ok soo My mom dead

Alonzos gas tank is 1/4 full after he buys 9 gallons of gas it is 5/8 full how many gallons can alonzos tank hold

what two numbers multiply to -36 and add up to 5

Can someone please help me with this question?!!

ASAP help I don’t have time! It detects if it’s right or not:(((

Write the equation of a line that is parallel to y=3x + 7 and goes through (2,3)

find z and x

please help i’ll mark the first one or whoever right brainliest

WILL MARK YOU BRAINLIEST!!!

Plz helppppppppppppppppppppppppppppppppppppppppp

SLOPE HELP

hey, this just help if you're confused about slopes because I've seen a few questions about them I'll clear up a few things!
slope formula is y2-y1/x2-x1
memorize that and you'll be able to find your slope!
if you're given 2 points please label them (3,4) (0,6) labeling is this >>> (x1 3, y1, 4)
(x2 0, y2 6)
this makes it so it's organized and you know what you're subtracting
trust me I'll try to do it in my head and calculate it with a calculator then forget what points I used so WRITE IT DOWN! lol
if you hear parallel it's the same slope!
if you hear perpendicular it's the negative reciprocal example: 3/4x the perpendicular slope would be -4/3x
if you have a point and a slope and a line plugin the point to your line! let's say this one is parallel so the same slope
(3,4) y=3/4x + 2
4=3/4(3)+b
and solve for b!
anyways hopes this helps-
brainly don't take this down please LOL

please please please help me find this

Please help! I have been stuck on this all day and its 1:00!!!!!! Please help!